Technical Proposal (February 1998)

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8 &'"% ( &†|ds-vB ( +!'. u wt&1
4 svu#&w%yx 7( ‚ ,
¼ + ) } ‚ & ¼ ) +[&'u#x
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F u
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+ !"t"=. "6
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s u ‚ x<!+ &†(„y8 }±%8 svu9+ 2w ( <%8 *xƒn!+ &†(4‘ƒ. xƒ<8
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‡
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¼ $
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‚ † ¼ ‰ - † ¼ ‰ - † ™ ¼ ‰ &u#x
H @<7 H … )
¼ 8 <#* &" &wtsr. u
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s-
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+ #&@+E‡k'5 "6.'$u#x H
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f
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x&w & H ' &'7Bvk) H )8 ( .UF9
8 w ( F!ń* <+ w%yxru7$74 !"E8K.D0
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4 yudwzw=q
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500
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10
3
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1
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MUON
Data
rates
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Fixed latency
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Trigger
40 TB/s
1 MHz
Timing L0
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L1
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Control
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1 TB/s
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Variable latency
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RU
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Trigger
4 GB/s
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RU
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Readout Network
SFC
Variable latency
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Storage
SFC Sub-Farm Controllers (SFC)
CPU
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max. crane coverage 11000 mm
250 mrad
point 7
6300 mm
1850 mm
point 1
max. permissible height 13000 mm
Transfert Cryoline
650 | LHC machine
11250 mm
19700 mm
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cold boxes | LHC machine
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PM 85
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10 31
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20
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300 mrad
400
300
200
25 mrad
100
0
10 mrad
15 mrad
flange17o
weld
half aperture (at injection)
0
IP8
5
10
15
20
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128 cells
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1 MHz
Derandomiser buffer
8/16 events
Mux(32:1)
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Event ID
ADC
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data extraction
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Digital
256 events
L1 accept
40 kHz
TTC link
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LHCb
61° silicon vertex detector elements
φ−detector
r-detector
(strips not to scale)
256 + 640
= 896 strips
2´384 + 256 + 241
= 1265 strips
80 µm
44 - 105 µm
60 µm
40 µm
40 104 µm
40 µm
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0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
φ detector
R detector
1
1.5
2.0
2.5
3.0
3.5
4.0
4.5
5.0
5.5
6.0
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Aluminium
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Stainless steel
600 mm
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Al readout electrodes
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14
1 MeV equivalent neutrons / cm 2
10
station 6
station 17
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Temperature (˚C)
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Front-End chip
221952 Amplifiers/Shapers
Clock 40MHz
Analog pipeline (128 cells)
L0 Accept 1MHz
Derandomizer (8/16 cells)
Analog MUX 32:1 @ 40MHz
Driver
0
50
100
150
200
250
300
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102 units *68 channels
Amplifier
Read-Out Electronics
FADC
Trigger Link
L1 Trigger interface
L1 Buffer
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10m
Analog Data Links (6936 twisted pairs)
Power Density( µ W/mm2 )
Front-End Electronics
Vacuum tank
Detector
L1 Buffer
0
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
TTC Link
TTC interface
L1 Accept 40 kHz
Control Link
Control interface
Read-out interface
Optical Data Links
60m
Processing Electronics
52 units *16
channels
DSPs
DAQ interface
Control Link
Control interface
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S/N
*
14
12
10
8
6
strip at 1 cm radius
strip at 6 cm radius
strip at 1 cm radius, double current
4
2
0
1
2
3
4
5
6
7
8
9
10
14
2
Flux in 1 MeV neutron equivalent (x10 /cm )
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*
*
(impact parameter) (µm)
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*
*
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DRIFTELECTRODE
100 µm
2.0 mm
GEM - FOIL
50 µm
GAP:
60 µm
CATHODE:
90 µm
2.0 mm
ANODE:
10 µm
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DIAMOND COATING
PITCH: 2 2 0 µ m
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6
250
8
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Factor 50 PA
4
10
V Gem = 305 V
V Gem = 470 V
3
10
Factor 2.7 PA
V Gem = 0 V
U(D) = 5000 V
2
10
300
350
400
450
500
550
600
650
700
Cathode Voltage (V)
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p [GeV/c]
10000
8000
(b)
(c)
(d)
6000
Gas (C4F10)
Tracking
chamber
(a)
4000
Interaction
point
Entries
Mirror
(R = 190 cm)
Aerogel
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Centre-of-curvature
(250 mrad tilt)
8000
6000
Window
(Mylar)
330
2000
0
10000
4000
2000
mra
d
0
-4
-2
0
2
-4
-2
0
2
4
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∆θc [mrad]
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'
0
100
200
(cm)
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Quantum efficiency
0.4
Photodetectors
0.3
300 m
0.2
120 mrad
rad
0.1
0
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1
2
3
4
Eγ (eV)
5
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6
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"
" *
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# #!&2.,/!.&81 , 1&/ 1 :,.#%$'/1<=
Radius (cm)
0
0.5
1.0
1.5
2.0
Photocathode
Photocathode
7
Height (cm)
6
4
Electrode
3
2
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0
'
Silicon pad
detector
Pixel detector
1
Focussing
electrodes
Photoelectron
trajectories
5
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Base-plate
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1 cm
HPD envelope
Dispensers
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Pump
Press
30 cm
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304 cm
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Anode wires
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HV plane
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connector
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Ground Plane
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pads
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melamine/phenolic
sheets (0.9 mm)
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MRPC
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40 MHz
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45k
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twisted pair
M5
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Penn ASD8
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RAL110
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100
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160
80
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50
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Signal efficiencies on reconstructed eevents
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80
40
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4
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. À z‹Ž[|‡:~ƒ|I„Žƒ|ŽŽƒ‹Œ5†u‹§g‡:„†5‰Š˜“ĉƒzu|­†"•u‚3Ï|:~m€ˆ
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˜€”ŽƒŽ€ˆ^|†u|:~ŠŒ“5. À zu|~Q„‡™‰Š‹€5†«€ˆ^|†u|:~ŠŒ“=‹†Ÿ‰ƒzu|’6 Ÿ6
‡:‚ ‡|:˜˜Ž„ˆ†g=Æ. „ˆ~Š|„[‹Ž„ˆÃ€•u‰Æu. €~¡‰ƒzu| €~[‰ƒz|
‡:‚ /‡:|:˜˜Žž—zu‹˜|­‰Šzu|«Ž1z€$—V|~m‹Žm•u˜˜“
‡€5†5‰Q„ˆ‹†u|‹†h‰ƒzu|›ª $ ¬ª $ ‡‚ /‡|˜˜Ž:. À zu‹Ž[˜|I„ˆ¥$„ˆŒ5|
|©N|‡‰‡:„ˆ†=Ï|_‡€~Š~Š|‡™‰Š|¢€~I.
À zu|=|:†u|~ƒŒ5“›€|„5‡Qz ‡|˜˜{‹Ž’‡€†"¦5|:~ƒ‰ƒ|›‰Š€Ä‰Š~Š„†Ž1
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Ž1•‚’ŽV‹ŽŽƒ|„ˆ~Q‡Qzu|Im‹†¢„_Žƒ‚…„ˆ˜˜„~ƒ|I„L€ˆN‰ƒz|‡:„˜€5~ƒ‹‚’|‰Š|:~Iž
Ž1‚…„˜˜L|:†€•uŒ5z ‰ƒ€ „D¦€5‹„ ˜„ˆ~ŠŒ| }zu€ˆ‰Š€†€5~
€$¦|~ƒ˜„ˆ}u}‹†uŒ_‰ƒzu|Œ€"€…|:˜|‡‰ƒ~Š€†(ž”Ãu•‰˜„ˆ~ŠŒ|¡|†u€•Œz…‰Š€
z„D¦|[„¢‚…„†„ˆŒ5|„ˆÃ˜|m†”•‚3Ï|:~L€ˆ{Ž1•‡Qz›„ˆ~Š|„5Ž¡‹†Ä‰Š€ˆ‰Š„˜ .
À zu|«˜€"‡„ˆ˜„ˆ~Š|„p‹Ž–‡Qzu€5Žƒ|:† ‰ƒ€fÏ|Ÿ„›ŽŠÅ”•„ˆ~Š|=€ˆ ‡:„˜€5~ƒ‹‚’|‰ƒ|~®‡:|:˜˜Ž®€(‰ƒzu|LŽŠ„ˆ‚’|Žƒ‹ |ž‡„ˆ˜˜|I¢„Ÿ£ƒÃu˜€"‡Q¥¤.
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‡€5‚[}˜|:‰ƒ|. À zu|6 6Žƒ•u‚…Ž„ˆ~Š|®„˜Žƒ€}|:~ƒ€~Š‚’|3„5‡~Š€5ŽŠŽ
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‰ƒzu|‡|˜˜Žƒ‹ |¡‹Ž‡Qz„†uŒ‹†uŒg. À zu‹ŽŽƒ|:|‚’Ž^‰ƒ€"€_‹ &–‡•u˜‰‰Š€
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‡:„˜€5~ƒ‹‚’|‰ƒ|~. À zu|[‰ƒ€ˆ‰Q„ˆ˜†"•u‚3Ï|:~€VÃu˜€‡Q¥Ž‹Ž[ªÆ $ ‹†
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†u€ˆ‰–~Š|Ŕ•u‹~Š|/‡:|:†”‰ƒ|~1e€ˆeŒ~Q„D¦"‹œ‰?“š‡:€‚’}u•‰Q„$‰ƒ‹€†)ž{„†¬‹Ž
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17×1=17 pads
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¦|~ŠŽƒ|–‚’€‚’|†5‰Š•u‚ €ˆ{‰ƒz|¢‚3•€† ‡„ˆ†‹u„ˆ‰ƒ|Žž<„ˆ†›‰Š€
‰ƒ~Q„ˆ†gŽ?|~¡„ˆ˜˜(~ƒ|˜|¦$„ˆ†”‰‹†€5~ƒ‚…„ˆ‰ƒ‹€†­‰ƒ€’‰ƒz| |:¦5|:˜eÆ[|:
‡‹Žƒ‹€5†«•u†u‹‰
. ¨‹~ŠŽ1‰|Ž1‰ƒ‹‚…„$‰Š|Ž¡€<‰ƒzu|3‰ƒ€‰Š„ˆ˜‘}u~Š€"‡:|ŽŠŽ1‹†uŒ
‰ƒ‹‚’|ž~ƒ€5‚ ‰ƒzu|{Ï|:Œ‹†u†u‹†uŒL€ˆ‰ƒzu|u„ˆ‰Š„‰ƒ~Q„ˆ†Ž1|:~‘‰ƒ€‰Šzu|
7 9;:
: . 4" 0
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(Ž:.
À zu‹Žz„ˆ~Q—{„ˆ~Š|‹‚[}˜|‚[|†”‰Š„$‰Š‹€5†m‹Ž^Žƒ‹‚’}u˜|ž~Š„ˆ‰ƒzu|~
‡€5‚[}g„‡™‰Iž5—‹‰ƒz­„Ž1‚…„ˆ˜˜†"•u‚mÃg|~V€(‡€††u|‡‰ƒ‹€†Ž. À z|
‰ƒ€‰Š„ˆ˜‘†"•u‚3Ï|:~€ˆ<Ãg€”„ˆ~QuŽ_%1ª „ˆ†/€5}‰ƒ‹‡:„˜(˜‹†u¥Ž3% ‹Ž[~Š|„5Ž1€5†„ˆÃu˜“pŽƒ‚…„ˆ˜˜ . e‰…‡:„†Ãg|=Ãu•u‹˜‰’—‹‰ƒz¬‡•u~Š~Š|:†”‰
‰ƒ|I‡Qzu†u€˜€Œ5‹|IŽ:žŽƒ•‡Qz/„
Ž Žžu,; Ž„†p
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2
I
H5
15
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p29qv
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0 H5
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‰ƒzu| …„ ‹Ž„†­‡„ˆ†=Ãg|_u‹Ž1‰ƒ‹†uŒ•‹Žƒzu|=—‹‰ƒz«„[‚’€"u|Ž1‰
¦|~1‰Š| ¢~Š|Žƒ€˜•‰ƒ‹€†).
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‰ƒzu|–‰ƒ~Q„‡Q¥Ž:.
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‹Ž3„$
‰ Æuž9‰Šzu|…~Q„‹„ˆ˜^‡:€”€5~Šu‹†„ˆ‰ƒ|IŽ€®„­‰ƒ~Q„‡Q¥
~ƒ€5‚i„=}u~Š‹‚…„~ƒ“Ÿ¦5|:~ƒ‰ƒ| h% „ˆ†g
 ‚’|„5Ž1•~ƒ|Ip„ˆ‰
‰?—V€«}˜„†u|Ž­% „†
}g|~ƒ}|:†g‹‡:•u˜„ˆ~_‰Š€«‰ƒz|–Ãg|I„ˆ‚
„ˆ†p}u˜„‡:|Ä„ˆ‰ „† % ¨‹Œ5•u~Š|=ªD6.ª žNz„D¦|m‰ƒz|
@B "
= 5
15
[=
@ 15 != =
H5
=
4" 15
RB [cm]
ªªIÆ
RB
RA
ZB
track
ZA
beam
Z PV
B
5
5
4
4
3
3
2
2
1
1
0
0
0
RB
Zmin
RA
" ¨‹Œ5•u~ƒ|=ªI6u.ª
Zmax
Z PV
ZPV prediction
„ Žƒ‹‡3}u~Š‹†‡‹}u˜|m€®|:‰ƒ|‡‰ƒ‹†uŒ­‰ƒzu|’}u~Š‹œ
….
H5
‚…„ˆ~Š“…¦|:~ƒ‰ƒ|
€˜˜€$—‹†uŒ[~ƒ|˜„ˆ‰ƒ‹€†
= & = = & = %1ªI6u.ª
€‹†”‰ŠŽ{€Ãu‰Š„ˆ‹†u|I/ԓ=‡€5‚3Ãu‹†u‹†uŒ’‰ƒzu|_‰?—V€–‡:€”€5~Šu‹†„ˆ‰ƒ|IŽ
~ƒ€5‚8‰ƒz|Žƒ„‚’|V‰Š~Š„5‡Q¥_˜‹|€5†’„L˜‹†u|{‰ƒzu~Š€•Œzm‰ƒzu|¡€5~ƒ‹Œ‹†
‹†¬‰Šzu| ‘ }u˜„ˆ†u|5žV‹‰Šzu|/‰ƒ~Q„‡Q¥Ž[€~Š‹Œ‹†„$‰Š|¢~Š€‚
‰ƒzu|…ŽŠ„ˆ‚’|’}u~Š‹‚…„ˆ~Š“/¦|~1‰Š| 9. À zu|…Žƒ˜€5}g|’€‰ƒz|[˜‹†u|…‹Ž
|‰Š|:~Š‚’‹†u|IšÃ"“›‰ƒzu| Ä}€5Žƒ‹œ‰Š‹€5†€ˆ‰Šzu|¢}~ƒ‹‚…„ˆ~Š“p¦5|:~ƒ
. €‹†”‰ŠŽ‚…„u|ԓ3‰ƒzu|{‰?—®€‡€"€~Q‹†„$‰Š|Ž¨~Š€‚
‰ƒ|
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}u˜„ˆ†u|5.
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‰ƒ‹€†Ž®‹†­€5†u|L|:¦5|:†”‰{„~ƒ|}u˜€ˆ‰ƒ‰ƒ|­‹†¢‰Šzu|  }u˜„†u|ž
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€ˆ¨˜‹†u|Ž‡:€~Š~ƒ|IŽ1}€†guŽ^‰Š€3‰Šzu|†"•u‚3Ï|:~{€‘}u~Š‹‚…„~ƒ“…¦5|:~ƒ
‰ƒ‹‡|IŽ:.^;"•‡Qz¢˜‹†u|ŽV‡:„†–Ãg|€•u†g…Ã"“[ŽŠ‡:„†u†u‹†uŒ‰ƒz| )
Ä}u˜„†u|¡—‹‰ƒz=„_˜‹†u|‰ƒzu~Š€•Œz’‰ƒz|€5~ƒ‹Œ‹†…Ã"“[¦$„~ƒ“"‹†uŒ
„ˆ†[‡€5•u†”‰ƒ‹†uŒ‰Šzu|†"•u‚3Ï|:~<€g}€‹†”‰ŠŽ<€5†3‰Šz„$‰<˜‹†u|
€~„’Œ5‹¦5|:† . “¢zu‹Ž1‰ƒ€Œ5~Š„‚’‚[‹†uŒ[‰ƒz|_†"•u‚3Ï|:~€ˆ
}g€5‹†”‰QŽ_„Ž„=•u†g‡™‰ƒ‹€†f€ ž¨„=}u~Š‹‚…„~ƒ“Ÿ¦5|:~ƒ‰ƒ| p„ˆ}
}g|I„ˆ~QŽ„Ž{„’}|„ˆ¥¢‹†=‰ƒz|zu‹Ž1‰ƒ€5Œ~Q„ˆ‚ % ‘‹Œ•~ƒ|’ªI6u.ª .
À €‹‚’}u˜|:‚’|:†”‰–‰Šzu|p„˜Œ5€~Š‹œ‰Šzu‚ |IŽƒ‡:~ƒ‹Ãg|I „ˆÃ€$¦|5ž
‰?—V€’}u˜„ˆ†|Ž{€ˆ<Žƒ‹˜‹‡:€†/|‰Š|‡‰ƒ€~|IŔ•u‹}}g|I­—‹‰ƒz«‡:‹~Q‡•
˜„~¢Ž1‰ƒ~Š‹}Ž­„ˆ~Š|«•Žƒ|9. À zu|“ „ˆ~Š|«}u˜„5‡|I Ãg|zu‹†g ‰ƒzu|
‚…„ˆ‹† ¦|~1‰Š| |:‰ƒ|‡‰ƒ€5~’Žƒ“Ž?‰Š|:‚-„$‰[‰ƒz|=€5}u}€5Žƒ‹œ‰Š|=Žƒ‹u|
€ˆN‰ƒz| )ÁL Ö‹†5‰Š|:~Q„‡‰ƒ‹€†…~Š|:Œ‹€†)
. „5‡Qz’}u˜„†u|‹ŽŽƒ}u˜‹œ‰
‹†”‰Š€Ž1‹ L|:˜|:‚’|:†”‰ŠŽ¨‡€$¦5|:~Š‹†Œ $ Æ ^‹†_„ ‹‚3•‰Šz(%
. V„‡QzL|:˜|
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€ˆ[ªI6ˆÆŸ‰ƒ€6 Æ 9‚ u|:}|:†‹†uŒf€†h‰ƒz|=~Q„u‹•Ž. À z|
~ƒ€5†”‰1e|:†…|˜|I‡™‰Š~ƒ€5†u‹‡Ž‹Ž®}u˜„‡|I…¦|~ƒ“…‡:˜€”Ž1|‰ƒ€m‰ƒzu|L|
‰ƒ|I‡™‰ƒ€5~–‹† ‰ƒzu| €‚…„† €‰­„ˆ†g ~ƒ|I„uŽ–„˜˜‰ƒzu| ˆÆ Ž?‰Š~ƒ‹}Ž—‹œ‰Šzu‹†f6 …†Ž. ‰Š|:~_‹Žƒ‡:~ƒ‹‚’‹†g„$‰ƒ‹€†)ž€5†u˜“«Ãu‹œ
†„ˆ~Š“¬‹†€5~ƒ‚…„ˆ‰ƒ‹€† ‹Ž­Žƒ|:†”‰­‰ƒ€ €©gd|:‰ƒ|‡‰ƒ€5~­|˜|I‡™‰ƒ~Š€†u
G=
15
H5 l= 2
=
5
=
=
H5
"
15
E
"
"
2
3
4
5
0
RA [cm]
Number of combinations
A
1
‘‹Œ•~ƒ|/ªI6u.ª $
1
2
3
RA [cm]
4
5
z [cm]
 €~Š~ƒ|˜„ˆ‰ƒ‹€†p€ˆ‰Šzu|–‚’|„5Ž1•~ƒ|‚[|†”‰ŠŽ‹†
‰ƒzu|[‰?—®€­}u˜„ˆ†|Ž. ‰?“"}u‹‡:„˜¨|¦|†5‰—‹‰ƒzp‰?—V€=¦|~1‰Š‹‡:|Ž
‹Ž›‹Ž1}u˜„D“|I9. % „ À ~Š•u|¬‡€‚mÃu‹†„$‰Š‹€5†Ž:žm‹ . |. πˆ‰ƒz
zu‹œ‰QŽ~Š€‚´‰ƒz|mŽŠ„ˆ‚’|L‰ƒ~Q„‡Q¥Nž‘%kà „ˆ˜˜‘‡€5‚3Ãu‹†„ˆ‰ƒ‹€†Ž¡„~ƒ|
Ž1zu€$—†fŽƒ|:}„~Š„ˆ‰ƒ|:˜“. À z|–Ž1˜€}|…€ˆ„«€ˆ‰ƒ‰ƒ|Ip˜‹†u|¢‡€5~1
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‰ƒ€Œ5~Š„‚ ‹ŽŽ1zu€$—†=‹†«zu‹Ž1‰ƒ€5Œ~Q„ˆ‚ % ‡ ‰ƒzu|mŽ1z„5|­Ãu‹†Ž
‡€~Š~Š|Žƒ}g€5†…‰Š€m‰Š~ƒ•|_‡€‚mÃu‹†„$‰Š‹€5†Ž:.
%=
H5
=
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‰?—‹Ž1‰ƒ|I"S}g„ˆ‹~{‡„ˆÃu˜|Ž.
;‹‚m•u˜„ˆ‰ƒ|I ‘ =}u˜€‰ŠŽ€5~„€5•uÃu˜|}u}…‹†”‰Š|:~Q„‡™
‰ƒ‹€†Ä„~ƒ|[Ž1zu€$—†«‹† ¨‹Œ•u~Š|¢ªD6.ª $ e„[€5~‡€5‚3Ãu‹†„ˆ‰ƒ‹€†Ž
‡€~Š~Š|Žƒ}g€5†‹†uŒ‰ƒ€_~Š|„˜‰ƒ~Q„‡Q¥Ž<„ˆ†g ‘‹Œ•~ƒ|_ªD6.ª $ SÃm€~
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‚’„~ƒ“’¦5|:~ƒ‰ƒ| –„†­u|‰ƒ|I‡™‰Š€~®~ƒ|IŽ1€5˜•‰Š‹€5†­„~ƒ|‰Š„ˆ¥5|:†­‹†”‰ƒ€
„‡:‡:€•u†”‰{‹†=‰Šzu|_Ž1‹‚3•˜„ˆ‰ƒ‹€†=}u~ƒ€5Œ~Q„ˆ‚/
. ‘‹Œ•~ƒ|’ªI6u.ª $ d‡
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—‹†u€$— €ˆ mª Ÿ‡:‚=. }~ƒ‹‚…„ˆ~Š“›¦5|:~ƒ‰ƒ| f~Š|Žƒ€˜•‰Š‹€5†
€ˆ
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}g|I„ˆ¥›zu|:‹Œz”‰3€®‰Šzu|­Žƒ|‡:€†›zu‹Œz|Ž1‰3}g|I„ˆ¥›‹ŽmŽ1|†”‰3‰ƒ€
‰ƒzu| |:¦|˜œdÆ[|‡:‹Žƒ‹€5†­•†u‹œ‰I.
¨‹Œ•u~Š|ªI6u.ª Žƒzu€$—¡ŽN‰Šzu|<~Š|‰ƒ|†”‰ƒ‹€†k„‡‰ƒ€~(€~(Ãu•†‡Qz
‡~Š€5ŽŠŽ1‹†uŒ5Ž®—‹‰ƒz=‰?—®€[}}«‹†”‰ƒ|~Š„5‡™‰Š‹€5†Ž„Ž„[•u†g‡™‰ƒ‹€†/€
‰ƒz„ˆ‰€5~‰Šzu|[Žƒ‹†uŒ˜|3}u}›‹†5‰Š|:~Q„‡‰ƒ‹€†«Ãu•u†g‡Qzp‡~Š€5ŽŠŽƒ‹†uŒ”Ž:.
—V€5~ƒ¥"‹†uŒ’}g€5‹†”‰¡€5~‰ƒz| )ÁL Ã/‰ƒ~Š‹Œ5Œ|~‹ŽŽ1|:‰‰ƒ€–~Š|
>?|‡™‰ Æ
€‰?—®€p}u} ‹†”‰ƒ|:~Q„‡‰ƒ‹€†Ž[—zu‹‡Qz¬Œ‹¦|Ž ~ƒ|:‰ƒ|:†”‰Š‹€5†3€5~Ž1‹†uŒ5˜|}u}’‹†”‰ƒ|:~Q„‡‰ƒ‹€†’|:¦5|:†”‰ŠŽ
. Ÿ€~Š|¡|
‰Š„ˆ‹˜Ž‡:„ˆ†=Ï|L€•u†=‹† ª $ e.
†u€ˆ‰Šzu|:~}„~Š„‚[|:‰ƒ|~¡‰ƒzg„$‰L‚’„D“=Ï|m•Žƒ|«‰ƒ€¢~Š|?>?|I‡™‰
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À z|®„˜Œ5€~Š‹œ‰Šzu‚ ‡€5†Ž1‹Ž1‰ŠŽ‘€ˆu§¦5|®‡:€†Žƒ|‡:•‰ƒ‹¦|®Ž?‰Š|:}Ž.
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Ž1•u‚’‹†uŒ…Ž?‰Š~Š„‹Œ5z”‰V‰Š~Š„5‡Q¥"Ž.
98 - 2 ;:
­À zu|
576
‰ƒ~Q„‡Q¥3Žƒ|„~Š‡Qz[Ž?‰Q„ˆ~ƒ‰ŠŽ‹†’‰ƒzu|‹†u†u|<
~ 2IeŽƒ•u΃|‡‰ƒ€~QŽ. À zu~Š|:|
‡€˜˜‹†u|I„ˆ~zu‹‰ŠŽL‹†›Žƒ•‡:‡:|ŽŠŽ1‹¦|[Ž?‰Q„$‰Š‹€5†ŽL|§†|’„­‰Š~Š„5‡Q¥.
;"|:¦5|:~Q„ˆ˜Ž1|Œ‚’|:†”‰ŠŽ€‰ƒz|’ŽŠ„ˆ‚’|[‰ƒ~Q„‡Q¥«‚…„D“«Ã|[€•u†
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‡˜€5Žƒ|Ž1‰‰Š€/‰ƒzu|¢Ãg|I„ˆ‚/. À zu€”Ž1|[‰Š~Š„5‡Q¥"Ž„~ƒ|’~Š||~ƒ~Š|p‰ƒ€
„Ž¡6ˆ,S‰ƒ~Q„‡Q¥Ž:.
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| „ˆ† [}g€”Ž1‹‰ƒ‹€†…€9‰ƒzu|}u~Š‹‚…„ˆ~Š“3¦5|:~ƒ‰ƒ| Nž5—‹œ‰Šz¢„ˆ†…|~ƒ~Š€~
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c j!e>fm
A
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H5
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hadron-trigger
electron-trigger
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0.0
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0.1
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0.0
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0.0
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0
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€ˆ<‰Šzu|_}u~Š‹‚’„~ƒ“­¦|~1‰Š‹‡:|Ž. À z|m€5‚[‹†„†5‰Ž1€5•u~Š‡:|Ž{€5~
‰ƒ~Q„‡Q¥Ž—‹‰ƒz„Ÿ˜„~ƒŒ5|[‹‚’}„‡‰3}„~Š„‚[|:‰ƒ|~_†u€ˆ‰[‡€‚’‹†uŒ
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€ˆ<Ž1‰ƒ~Q„ˆ†uŒ5|z„5~Š€†Žžu„ˆ† e‡:€†"¦|~ŠŽƒ‹€5†Ž.
98 - 6
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Ãu‹˜‹‰?“=€ˆ<˜|IŽƒŽ‰ƒz„†Ä6ˆÆ
€ˆ€~Š‹Œ5‹†g„$‰ƒ‹†uŒ[~Š€‚ ‰ƒzu|_}~ƒ‹
‚…„ˆ~Š“¦|~1‰Š| 9žV„†¬„ˆ†¬‹‚’}„5‡™‰–}„~Š„‚[|:‰ƒ|~[˜|ŽŠŽ[‰ƒzg„ˆ†
‚[‚/ž$‰Šzu| 3’‡˜•Ž?‰Š|:~‹†€~Š‚…„$‰ƒ‹€†3‹Ž¨†u€$—„5u|_‰ƒ€~ƒ|:
‡€5†Ž1‰ƒ~Š•‡™‰‰ƒz|V‰Š~Š„5‡Q¥L‹†m‰ƒzu~Š|:|:eu‹‚’|:†gŽ1‹€†Ž{% , ‰Š~Š„5‡Q¥ .
À zu|¢k„‡™‰3‰ƒz„ˆ‰_‰ƒzu| 3¬Ž?‰Š~ƒ‹}Ž_„~ƒ|…~Š€ˆ‰Q„$‰ƒ|IfÃ"“›„«Žƒ‚…„ˆ˜˜
„ˆ†Œ˜|[z|:˜}Ž‰ƒ€/~Š|Žƒ€˜¦|3z‹œ‰3„‚3Ãu‹Œ•u‹‰ƒ‹|Ž. |:‚…„ˆ‹†u‹†uŒ
6
H5
`baLe>f cHd Nac j]eJf e T c d ,a
,ac
15
15
d ?`lc `ldbm
15
H5
+CI * 15
j!c _ d6k>` j
15
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—zu‹‡Qz ‹Žm|:§†u|I „Ž_‰ƒzu|/‹Ž?‰Q„ˆ†‡:|¢Ã|‰?—®|:|†‰ƒz|­}u~Š‹
‚…„ˆ~Š“¦5|:~ƒ‰ƒ| _„†L‰ƒz|V‡~Š€5ŽŠŽƒ‹†uŒ}€‹†”‰¨€‰ƒzu|®‡:„†‹u„$‰Š|
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~ƒ|I‡€5†Ž?‰Š~ƒ•g‡™‰ƒ‹€†/| &…‡:‹|†‡‹|Ž€Ãu‰Š„ˆ‹†u|I«„ˆ~Š|_„ˆÃ€•‰ €~{‰Šzu|36ˆ, ‰Š~Š„5‡Q¥Ž®„† x€~{‰ƒz| , ‰Š~Š„5‡Q¥"Ž.
- 98 ?
fÀ zu|Ÿ„ˆ˜Œ€
'6
~ƒ‹‰ƒz‚ §†uŽ{Žƒ|‡:€†u„~ƒ“’¦5|:~ƒ‰ƒ‹‡|ŽV—zu‹‡Qz­„~ƒ|Ž1|}„ˆ~Q„$‰Š|
Ž1‹Œ†‹œ§g‡„ˆ†”‰ƒ˜“…~Š€‚ ‰Šzu|}u~Š‹‚…„~ƒ“–¦5|:~ƒ‰ƒ| N.
15
` d6a
15 "
eJdc +e cHd ,a J`ld c j!a` Lm
H5
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‰ƒ~Q„‡Q¥Ž{Ž1‚…„˜˜|:~{‰Šz„ˆ†Ÿ6ˆÆ5Æ 9‚ „ˆ~Š|L„‡:‡:|:}‰Š|9. €~|I„‡Qz
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}u~Š‹‚…„ˆ~Š“¢¦5|:~ƒ‰ƒ| ¢‹Ž„ŽŠŽ1‹Œ†|9. À zu|_}u~Š€•‡™‰¡€^„ˆ˜˜(‰ƒz|
„ŽŠŽ1‹Œ†|…}u~Š€Ãg„ˆÃu‹˜‹‰ƒ‹|Ž®|:§†u|‰ƒzu|‰ƒ€‰Š„˜|¦|†5‰®}u~Š€Ã„ˆ
Ãu‹˜‹‰?“–‰Š€…Ãg|†u€5†eí|¦|:†”‰QŽ:. À zu‹Ž¦$„ˆ˜•u|‹ŽŽ1|†”‰‰ƒ€’‰ƒz|
|¦|:˜Qª|I‡‹Ž1‹€†=•u†u‹‰.
A
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Detector Description
Detector Front End
Build Events
Reconstruct
Align+Calibrate
Events
Detector
simulation
Simulated
Raw data
MC
Truth
L2/L3 Triggers
Raw data
[real or simulated]
(Reco . objects)
Trigger data
Raw data
MC Truth
Physics
generators
Reco .
objects
Alignment+Calibration
Constants
Reco .
objects
Data Store
Reco . objects
MC Truth
(Raw data)
Analysis
objects
Reco .
objects
Analysis objects
MC Truth
(Reco . objects)
(Raw data)
Make selections
Design selections
Private
Analysis
objects
Analyse
Physics Results
Selection Criteria
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• Coordination, Planning, Resources
Applications
Reconstruction Analysis
Computing
Facilities
•Farms
•Desktop
•Storage
•Network
•Operating
System
•Level 2
•Level 3
•Prompt Rec.
•Full Rec.
•Calibration
•Framework
•Tools
Simulation
•GEANT4
Framework
•Tools
•Production
DAQ
Controls
•Event
Builder
•Readout
Network
•Interfaces
•Links
•Crates
•DCS
•LHC
•Safety
•Run Control
Control
Room
Software
Engineering
Group
•Operations
•Consoles
•Shift Crew
Enviroment
•Methods
•Tools
•Code
Management
•Quality
•Documentation
•Training
•Licenses
•Collaboration
Tools
Re-usable Components
•Data Management : Event Store, Geometry, Database Utilities, ODBMS, MSS
•Architecture : Frameworks, Component model, Distributed system
•Toolkits : GUI, Histograms, Communications
•Utilities : data quality monitoring, event display, bookkeeping
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P P ClRDC :Lˆ P P RDP;CF=;A \ HzMH$XO H: U;P H R <JK: :HGE< :R P <NASO R EY< …BT>:LA4E|J RNC C P :P RDV =;OaHJ T;–1qlH <D< :RDMOH$—RSRNH n <N<WPH$RDO < HrHrE|E R :L:\L< ZZ V
RCASOL?BE.PASqFRDE.T>H H UBM b C CF] A O RDP;RS= RD: H R[AD<DH P‹?LH$<R TBHGRYJE AST;:LCtqFUB\qF?“PH CRNC MC :RNP;=;qFHHC MP A sH RDP Hr=;RNE|H HGR U Mb O `C H$P RD:jH š R <YHGO XLEYEGH …iE.< HC V P;\O
AH.‘RNŸ T>E.UBCF? H P ME.? O U;JKH:L< JK:LŒ < P RDUB=>C P;H4\’v°HGO XLRHG<Yq ZO ƒ EY…’R < H$C \LqFH \ M H < H P AD=R[:jC š P AaRD=;RN= H O MR0RDO =>C P H
Rn <YH$O RDEYHr…iE|C RP;:\ < V>AD?BCFAuA‘RNXH H M < ?V¥T>E.q AD: C P;ADHW\R O : ASk HG£HG£@U ± JKb: T P U›C P RD=>H{–1H < RNH.—
<UB:T P H[_ <YP y O O EY: AD… HGU OQ:L<YPP OQM RN<N=;\ H$HRDH ²< :A O qOLM< H OQPB: OQZ yBP Œ>R qlO RDCH PM <HrOUq \yi:L? < CRNO = Œ;M RO V š <N=>:< HE.P;<H \H Z
EOQ< H0RNR C O …T H P T>A,C P RH :[H O E$E ?³: T q P ANR ADb HGA U T;qlRDC ;qFHADE RDRDH C
<R: YO EY_u…B=;A HJK: :QT J < P C U
MC OLP < ?RN=;XHžH –1< <NRDH:LH.< M —'RDH$CF— Ahn U;<aH.H.O RDRNHHG<DE|M R :LC < P OQVGHGPC U”P E$T>qlb T>ADC9;U;P;:C \ P;< \ O qFRD<Nq¥=O RD: =>ASHH
š TBMCRNRY=ASO CtUBP>H :M[JK<D:L:RNM =;M H
H P A IRNT HGM¬E.R :M OQH <8O H.ASRNOLT H P;< \H M EGH E.PH :L;RGJ V R M[:LE.M H <NH OP R O0OQRb < HoEYHG…BA AZ
RD< CHrA : qlRDT;HrRDU C :LP:QJ RDRN=>=;H H < HrE q:P A‘R < TsE|qFRDHGHrA U < RNC =;MHOQR< ?EYX…iH A < RDH._u—­=>CFHA
´H$>Xµ'H P¶·RNA ´sb ¸¶º¹ ¤¥M«OQP U›´>»{¶·‚¼ ¤¥M½JK:L< ›C P H$q O ASRDCtE
<RDH < AG9;V :< OQ<YOQOLM < < RNH.CFP E$RNqlH H<: CFCFADUBHGHOLU P P;OQRD\ ClP;Œs\ E T;O q RDOQP C :L<žP < HGš A : ClRDqFTB=<RDRNC :L=;P H
<NA œaO :QˆDJ xoORD`®=>:H < E M : T OQH P;<OQZZ
T>ASOQT PADHGU HrUUR xz: =i?=;E H O : qFH E$RDT;=;… qHrO ASRDXHrH A b g@<N:RNqFT>y HGUBA0O y;CFCHGCFA qlC RDRD:QCF=;JžHGH{A J T>RDJKql:L= < HGRNOH =;RSRDH,H <DUBHLP›VC ¤<R HrVzE :¾1A \LVuP ² C H Z
RDM C :LH.P RD= = : O U XLb H8ˆ P;yIJKH$:LH <NP M[T>O ADRDHGC :LUP{R JK: <N:LXLM H < CRNJ =;?'H RD¦ =;H{xo§WH.Ÿ v E.:CFH < P ¨ E.? T :L:QP J RNn =;H CFAZ
RDU HrO E|RNR HG:A < OLCFPA U O U;M UBT HG:U°P VBC EJ¿OQO P X UBO CtClUq O O y>RDqlHGHAGV V JK< :HG< A sRD=;HrE|H
RDH$CFXLqFHGHGE.ql?R <Nb :LP E OQP UBC Z
PC >: \ ˆ =;JsClOQRNO AP CH$P qFHG: RNE|=;R :L<DH P :b MO OQU,\LP EY=H.RDOQCtM EžE$ysqlH T><4ASRD~ H ¨“< =k €.O VsA ClP;R: CtAWE :LE <N:L< P HrADA CFU;:LH P< HGU U Z
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™ O X : ™ T O <u: : ANE.<1CF:Qqlq JO RNC :P OA b _u:=;M CtAaOQCFAP O EYP>=;\ CFH$XZ HGU'O yi<D? :PM JKH <NO :LASM T < C P;\
RDEY=;= HOQ<N\ H X :QJT UBHGE O RD?”=;H qFH ;E$R E :LP A OQP U›?iC … OQ:LyP A = b ˆU J RD=>H4R OQ\\ RDC P;=;\H
ql= H O BU R <D::P PCtA~ C b OH b UB*y C < Hr),E|R +G€|<NV : :UB< T>RNE|=;R H{:LR J OQRD\=>\ HŽC P;UB\ HG… E OLO :L? P :QE J :LRDP =;R H,O C Py AZ
RDRD=;=;H4H ™A Z O &@X T : OQT < <z… :QJKJ <N:LRN=;M H RN=;OQH4< H U;P HGRoE Oy ?'Z = EYO = U O <NC :LP P y-O Ra) UBHrEE )O ? A$š V>ClRDqFq•=;ysH P H
E :<D< v°HGHE.;RDqFR ?:LP CFUBA H OQP < RDH ClŒ>< .HHG&@U T;b C < HGUR : ysHžCtUBH P RNCŒsHGU
T>ADC P>\ C PBJK:<SZ
M<O RDC :LP:LM JK<D:M P RD=>š H ¨ T :LP;PJK:L<Nn M[H$RDO HrE|:LR :P<hJK<DOQ:P M URD=>H
E O q :L< C Mb H : Z
RD< HHrUBAGT>VrE$E HžRD=>y;HoC E :LHGPU R OLM CRN=C P>C O RDC :LP yi?
RDC H$qFHGE.R <N:LP A RN=;JK<DH‰:MœaˆDExo:` P XH_ <DZ
ASC : :LC P P A$R VjMR <NHO O EY…BAST A < OQHr< U'H C < P H'&@RDT;=;CH< HG–1UH R< :RDH.=— O nXLH H$RDO HrRžE|qlR H :O < ASb R _u:L=;P HHaA/10 O E$:QH J
Ok qFb qhª'qF¯ H BR :Le3PB2jZ Rb OL\ E OQP UBP CFU O P“RDHr9 A\ CtA b k< .Hª &@b k T;C < HGU R : ysH < O y : XH
qlšaH B<D:R P;:P\ HGA – R OQJK<N\:LM O A{§W4y ARN=;AD) H$H$?H *E = OC )5XLH +':C UBHr:E OADCl?BRDA$H,V¥VžRNEYRD=;= = CtOQAO <NR E.\ TBHR <DR : : UBHGT>UBRD=TsE$H:E.HGADOHA
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RDH$=;qFHGHE.² R =>COQ\ :L=;P;HGRZ ASR 8R OQ\/ E0 E OQC PP U;UBCFH U CFO U EYO RD='RDHŽHrR AH$OQ—B\ OQCF<ASE$RNH,q AGO VuASADHGAoRDql=;HrCtAhE|H›RNEYHGE = U : ADT>UBH ASPCFCU P;b \ RDH œaˆDxoCRN` =
JK<DOQ:< M< RDCtE.y qFH1Z = bCtUBO HU P <N:LRDClP Œs< E UBOJKHr:RDE C< :LO ?BP Ahb §W= O AŠXASH HGOLH OP P0q JKOQ<D<N:O\ M®H89C M C <Y\ O b O k E.ª R b„ƒ OQV$OL< … <NOLOL:L<M{P ZZ A
H.&@RNT;H C < VHGU’9;: R : =_uO =;XH H H OQP HC M V‰RN=;O HŽE|R E OQ<YUBOQCtUM H.RNRNHH <8R š EYClRD…B= A < HrA H IHGE.H R
R\L: < H RDO =>RDHH < RD=< C OQMP OQ‚ < ?’b £ V Xš H < =;RDH H$< — Haš´1>oCRNCt= A}RDO =;HuADC H \<DP <NC:LŒI<}E :LOQPP E.9 HL: <V b 9 ˆ :3P[= O?´ U >QZ V
URDB= ClRDOLC P:LP ‚ Vs£0R M[<YO M·EY…BAOQP M U TsO A‘RW/1=0 O \LXL< H H OOQRNP H < C M RD= OQO PE.R £ b ! OL¯<NOLH$M – H$3e RD2jH b < ˆ qlR‰HrADCFAA
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K from b decays
K from other sources
100
80
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120
60
40
}
20
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0
0
5
10
15
20
25
30
35
40
9 OQC \ <YTOQM< H k ª < b„ƒ @4\L¨ P H O ADOQT P < HGUJKUB:LCt< A‘R < CFy;OLTB<D\ RNC :P“:QOQJ :PRD=>H š C M O E|R
H.RNH ASC ClŒsE E$H EY= HGU“… A CRN=G/C0
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RDRD==;H P RN=;H8HŽE …OLP UBCtU R O RNH š E CRN='UBCtRNU =;HRDHŽ=;C AD\ T =;HrXiA‘CF8R XL/1HrA{0’RDCt=;AaHrEYAS= H: ASE$H TBP RNAGb V
Mš H P _u<R=>CtKH0AhLOASNTC PRP OXRDH Ct< A‘ASRNHGCFEql? O qIH <N<N: <D:P :L<‰< :QRDJ}C :LJKOQ:LP>P'< O q¥O P RASJ:? M[P;I M\KMLOOH.NQR Pi< OQ~? k\hM ROLPH ƒO SASS T LONQLO< NQPH P €Z
CFM A‰=;HrRDHA=;:H HP šaA <DC :P P;R Ct<N\QA¥: Z RDRUB=>OLT>Hž\
E.H.HJKŸ <NO OQE.E|P CFRNH C :C <NPE.< ? b
HrUBU T>ADE$E$ŒClCly;qFqqFOUBH›RDC CA :L: P T A < E$R:QH J°P :QHGJTBšaRU <Y<NO :Lq?P>( \
R= OQOQ\ P A E$b HG9>U“:LC < J (E$TBV RNMA HrOQA < :H P O A$Vi;RN=;qFClH HrU ša<Nš :L=;P;Ct\LEYZ = R OQ< \8H ¡ JKHr<YE|O RE.RDUBC :LHGPE O CF?iAhA H PBO RZ
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§ OQP;< : RDRDCtE.=;qFH HG< A b A : _uT <=;E$HH E.:QTBJsRYšaA8<DUB:CtP;AD\E$T>R ADOQAD\ HGAŠU CtA O My : CtXLASCtH UBHOQP < HRNCŒIEY=E O : RNADC H :P PR:L: J
M[O —BC M CtASH I KMLONTPi~ k R Mƒ S LONQP € b
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AH$MXLAD?H O < qFV qFHGJK:ASH.R'< R RDA‘=;CFR HGOH A RN>CFAS=@RDCt?BE ADH O CFEGqEYA ='H s<DR<NH :L<SC <JK:E<DH MOQP OLP yIE.UH HR :ASRDyBT>R UBO E CFC HGP RNAoHGH U RN=;b H ?` : V@X:jRDH šu=;<DH ZZ
9M C \ :T P < H JK<Nk :Lª M b kA@ _u=>¤H M H O ADT < HGUB¤’/C0«OLP UBCtAS: R < Cly;<T;RDC : :LP < KJ :L< ysO qFHGq1H RP OL\LT>\ ADCHGP;U \ b H$giŸC M E$ClT>H qP O E.RD? C :LPOQP A‘U RNT>šaUB<DCFHG:AP;\QAD=Z R :jOLš \JKRN<Y= O O E.RRDC RN:L=;P H[= R OOLX\QHZ
PC T HGXLH A P RYA š =>Hy-< H ) :LP HDVsy-( ) M HGEA :L) P BU HrE O ?LU HrURNC =;P H R : A ¾E¿T ¾E$F HGAGb V \ASC C \LP;P \ ClŒsH.EŸ OQE.P CFRDH qFP ?
E.ys? H$ROQš P HGU H Pša<NUB:LC˜•P>\QH <Z RH OQP \{RžUBJK<YHrO E E.O RD? C :LM[P : U UB: HGA P>:~Kš RWClX RDOQ=><C P?
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180
120
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100
80
60
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40
20
0
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
pT [GeV/c]
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b → µ decays
b → c → µ decays
other sources
140
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160
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300
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=;Hxz< y H
yRD=;: HuRD=4A IRDHG=;E.HaR <NEY:L= M OL<DH.\ RNHGH U < V >OQC P:UP A y OQ: < RDH = M[;:L= M: R H :LP P RNA T OLM{< HuZ OLASP>HGO H qFP{?BASO HrAŠU8CFA yi:Q? Z
qC PO RDE$HGqlTsU,UBE$HGqlA TsA‘O RNHq OQ< A<N\ O H y : OQXL<H R ƒ :QJ ¯ RDH$=;–·H¾ C P : Z RNŒ =;P H UB¦C P;xo\ §WH.Ÿ v E.=;CFH H P P E$E.? H4b CR
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U RNHGA U ys€( V C RD=>H ( V ) @¾HGXLH RYA
σπ = 6.3 MeV / c2
200
150
100
50
0
0
0.04
0.08
0.12
0.16
0.2
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0
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80
60
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40
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5.6
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R <YO qtˆAYP €|V RNO =;HR : n :: q :)*\ ? ²Dš E¿=;¾CtEYF =,< HrU E :L:MP A‘C R P>< O TsRNE|HGRDA C :Ln P : V>q UB:@HG: E ASO H4?B œaA b ˆDxo`
E < <NCl: RDUBH < T>C E|O'RYAOLb < H{_uT>=;ADH HGn U R F : R ASnHGqlHr: E|MR
O RD=>ANA H IE H OQO P …UB= CFU O O A RDOhH < n HGA : : qFUBTBHGRDE C :LO P?
:QJ:jšk8:L¨ J HG– k = 2c ¨ OQP U'Ct2AWAD= :jšaM P : C PŽ9 C :L\ P b k ª bdc M~pO O€ b § š C P;<DZZ
HRU šP E.H$HH bP § RD=><H'H ( &@T;OQC <P H$H U –M =H < P C M[R CF:QOLA}Jž< C ?ªQ£X£1H < ¤¥ADRDHGMCtE.U HrASAŠH CtA RDOQM=;<YCtO OA RNU;C :HLP VjRANC :LAŠP \ UBH$ ClRD˜•=;ysH HH <Z
š ClMRD=:Q…iJC P H MO RNCFEaOUBH MOQ<NP: U;A :LP b RD=;HaR <NOLP PsADXLO H < M[ADH O M[:LM H O P;Z
RD= T O A O›š RNCt=;UiH”RN= U;:QHGEJ k? ‚ ¨ H$UB– T>=E.2RNA b _ugBH$=>qFHHGE|Œ RNC P>\ q E OQP ADUBA CFU IO H RDHr… A
šP>O ClRD=;C P’MOO š C P < U :jš¬:QJ P,O[‚ £ < ¨ :LHGP – = < 2 O y :: P TBRWRN=;H P P;:LM :QC ZJ
! ª@±q ( JK:< HGANXLA H P HGRYADAWT;ADqTRYAu< XiC CFXiC P;\ HGRDE =;HASR R < C T>\E|\ RNH C < b _uH$=;ŸHE$ClASH RDH >E.? AWC P
RD_u=>=;H CtA < HGsE H :L<SPJK:AS<DR M< T>OQE.P RDCE.:LHhPC M OQ<;H'qlCFHGADAoT M[¼ ª M ¹8OQ<… CFAD< HGHGUE :LC P P ASR _ < T>O y;E.RDqFHHGU k OLª P b ª U b
RqFT OLM\L\ C HGP;U: ASHGClR‘XL? H b P RYA{C P :LP H?LH OQ< A : IH <YO RNC :PO R P;:M C P>O q
ˆ P RD=;HC P E.qFT>ADClXH OLP>O qF?BASCtA8RN=;JH ( MO ANA4CtA < HrE :PBZ
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OP < HGAb : qFTBRNC :M P,:QP;J \ º‚ O ª¿¤¥M C P < OQP :U P”:LJ OQP U :j! š £L£1¤¥:M P
JKCO <D:M : §WRN=;ANH ADT nO C F :QCFA8JRN= RD= RaO R RNM{=;:Q:H8J M UBRN=;C P H HrE|nRNM C F³: CRYASHGRNq=;JWH8O ADqlq :j<DMš A
;P RDC =>H
OMQy>P O AUqFC TBP < RNHaRDT: X <NP qlT>RN:H =;P %H (RD=;ƒ H M[ªL£ O ¨ADA b H § RDJ2 TRNH b < R&@T OyIqFHWCR‘UB?H$RDE$H TBRNAGV1C RNHG=;U¥CFA V
ANx A OQP HrU;A CFUqlTBO RNRDC H Ct>A ADH$T>U :QZ n H$–: A = OQ< H JK:<DM HrU JK<N:LM
: OQ<YOQ: M ADClRDH$qF? < Z EYOL= P OQ<N\ HG:LUM R <YO P EY…BA š š CRN= ASC \LP C:jŒsš E OQP R:P C M b O E.R
H P>~O ¾ y;F qFHGH$A RDE}HO ^ VE.F¿TB€ RR U R : E ~ yIH E1y>M^C OF¿HrUUB€ Hb :LClRDP = _uRDRN=;=>=;CtHA¬HADM[UBq CtO ASADR A[< >Cly;UBC T;Cl˜•RDHC :L< _uPH P =;E$CFCFHAA
AS¨ = H$:j–ša=P 2 C P½O AS9 T;C ys\ A‘b R OQk P ª RDbdC c O q~ ysJK<Y€ O b E.RDC :L(oP[?:QJE.TBRN=;RDRDHhC P;y \ O EY…O R\<D: T P ƒU4£CF£ A
JK<:L<DH P :M[M: XL< HGH'U &@bT;<NCOL<§P H U;M UBH ClPRD< C RN:LA P>:O M[Pqa:Ly RDM =;O EYH …P (\<D:M OQT P P U :QU J n < :H ¡ HGXLE.H RD< C RN:LCF:LPE$PHGAGE V:LJK<NMOL:LP HrM U A
RD:Q=;J H c RN±(=;H³UBCtAR HGE : O yB? ASR b XO H C P §ASHGH U R JK: :R < O q RDH = < HG: RNETAD:LH³P ASH$RX< H T>P E.RNRDRD=>A C :LH P O;ANH.C ASŸ C P;E$\ ClH P RD=>E.? H
R< <HrCE \:\ P H A‘< R b < Ts§E|RDR Hr: U R O OQq P :QU[J R ! OL! \L¢ \ Hr… U HGJKXL:LH <oP RY:LA P HWOQ< ?LH0H OQH$—< sA Hr< E|T RDP;HrU'P C RP;: \4yIO HR
P;:LM © C P>O q¥qFT M< C P;:P ADCR‘?P b
:R šzLZ : y O P EYC…RN=\L: <N: T HGP OQADU HP>O <YR
O RNC C : E.qFCtb T>AzASHrCFA‘XLRNH4C My y›O RDHGASRUO RDR Ct: A‘RNyICFEGH
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R C y RD= ql?BADHGA
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< HrA IHGE.R8R : RD=;H O < HrE.HrUBC P>\ A‘RNH “O C P RD=>OQHP ASHGqlHrE|< RNC J:P < b ˆ P:
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EY= OQ<N\ HrU[R <YO EY…BA JK<N:LM RD=>H n : UBHrE O ? EY= O C POQ< H JK: T P U b
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m(K+π−π−) − m(K+π−) [GeV/c2]
(b)
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m(X+Y−π−) − m(X+Y−) [GeV/c2]
9 C \ T < H k ª b„c @ ~pO €“: _u=;H n n F R OQn P>: O MO ANA I~ H O …·C P
RD=>H~ ¾ F H.—;E.E qFT>^ ADFClX€ H R ( V ~ )E ^ F € MF}O¾ANE A IH O ql?B…ADCCFPAGV RD=>Hys€·C P E$RNql=;T H Z
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RC :[M_uO =;…HHW² R ( <YO:V EEYM…BA HGUBA :QCt:LJU P RNA RN=;b HGH,A qFH BCR :LP qFql?,O RNC =;< H$AS? HGqlHrE|H{RNHGE U JK:Ly>< C RD=;HrUH
f = < Hr< E :LP A‘Rn < T>E.RDC :L:LP”< OQ< : H < P H'&@T;< C < HrO0U \LR :i: : ysH M < H O AST < < HrU : C P Z
RDRD=;C :LHuP –1b H 9 T RNH.< RN— =;H <NH.M[RNHG:LE|< R HLVLRDR=;H H ADT sH H < UBH \L< H$U4H XL:LH J¥JKRD< H$HG— HGU Hr:A M qlT:QJ
RDUB=;T>H4E$HGXLU H < O RNR‰H.—”RD=;Œ;H R0= < CO MAaOQR <: ?yIXLH4H < qFRNHGH.AN—AaRNOQ= < HOQP’< H ª¡ Hrb E|RN_uHG=>U[H yif ? = < H'&@T;<DC :L<DZZ
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MO < : :LPŽ:LJ f ¤ ¤ O
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\LPsO b P O :LJ f
O :P;\ O :
qRDAS:j=;C š H <H H <DJKqZ :LM[< ˆ HO ADRDAO =>< Hzš H E\ CtUBC :ASH PH MCtA O AN=A < HGš AD)H C PP RU 'H :jE¿UBš AHT;F‰H :QV RJ : q H Pk H ¯<NR \ HG?–CFqLq =R : 2 AN ADRDHG=;CFAGHA V
šOf C P>UqlZ CFM:jHGšU O b A$V 9;OQM{:P < :M RD= H : P< ADR H'O E OQ:P:M U‹P y;CXP><NH OO < RDRDP CCt:LE.PHrA A < šOL< ClH,RD=><Œ>C P RSP>RD\hHrRD=;U O H T M[P UBO HAD<<A
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: qFC TBP RDX C OL:L< P›C OQI: P yH R ZZ
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180
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140
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120
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250
70
200
100
3.1
3.125
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(a)
60
140
50
120
40
30
60
=}
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30
20
40
10
20
0
2.5
3
3.5
m(e+e−) [GeV/c2]
4
¤9OjJ EC \ ¤ T < F< H OLPk ªU b ¼ ~ @ys€oˆ H.P E¿X H3OL<F< C OQP O R C < MA$P V O JK:ANAŽ< ( UBCt:V A‘R ) < bCFy;f TB= RNC :² P8JK:LH$X< H P ~pO RNA€
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0.515
80
2
0.51
4
40
3.15
0.505
m(π+π−) [GeV/c2]
100
10
3.075
0.5
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50
20
50
0.495
160
60
150
3.05
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0.49
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JKX< :L< : C R < C R\L\:HP < HGADU A ;JK( : q :V RP ) f : =ADH$qF²HGE|RNHGHGUXL¨ H¾ P E RY¾A b F 2 _uE =;OQPH”y;² C OMMRDC OO ADAA
š HrO C A P U qlTB:jb RNš‹C 9>:Q:LJ< CtA k : £ T¨ HGU³OL– P R= 2 ysO CtHAoT>‚ ASHrO UH$R – : = šADH$qFHGE.Ro²U < E OQP OQU;P ADC AZ
U² RNZmHGMA O ANAWE :LRDP = ASR <YASH[O C PE RNAaUBCtA CtU O RN;HGAGqFCFV HGU¥V Œ;< R .H &@T;CCRN< =C P;XL\H O RNH.— IH U <
URBO H C \P < HrHGUH Ct:LA J‰! JKªL< H$£HG¤¥U M:LM O q :LP;ª \ b RD=>_uH8=;H[UBC <XLHGH E.< RDRDCH$:L— P”< :QHGJ A : ™ qFC TB\ RD=@C R:LbP›: y Z
M[O O …L9 HP­C P>RNJKO :L=;qF< HqF?LVž( RN:V =;b H f: _u= =;H < OL< P HGU“E :Lb RNP =;ASH,R < T>² E|RNMHGOLU < H”O f = E :M XLOQy;<YH C OQ<P RNM HGH.U— R Ct: A<
R:QJ …RDH =;H < HrE RD:L=;P H A‘R <( T>V E.RDXLHrHBU RD( H$— :V CtA _u<=;'H HŽ&@T;C C < HrUE|RR : yIH H$RD¢LH £
¤¥M b 9 C \ T < H k ª b k £ AD= :jš AoRN=;H MO ANAaUBCFASR < CFy;TBRDC :LP A JK:L<
180
(a)
0.485
5.24
5.26
5.28
5.3
5.32
0
m{J/ψ(µ+µ−)KS} [GeV/c2]
5.1
5.2
5.3
5.4
5.5
m{J/ψ(e+e−)KS} [GeV/c2]
KJ9f :LC <\ T ~p~ < O H € k ( ª b:V k £ ) @ œaJKfHr:E= < :LP ~KA‘¤ \R EP>< T>O¤ E.F}RDHr€SU² fP = OQP ²OjUJ aC~< P ysX € OQ<JK:LC OQ< P R( M:V O ) ADAZ
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RD: =; H P®) : AD< ClRDHG²DH$E qFE1:L? P ²Z ASEYRFŠ= < OQ€ T><NE.\ RDHG_uHGUU =;R HJ<YJK<DO ( :EYMX…BA ) OO ANqFqAST E MXF:LM¾HrU8E y;CR P>:E O ysRNCHaUB:Ct…P U OLA :LRN:LP HGJ A A OLR šoP U:H
R:LšzP :A b : ¦‰O EY: =ADClRDR H$<NqFO ? EYZ … EY= M OQ<NTs\ A‘HGR8U­yIHR <NOš EYHG…BqlA M O ANH ADO T ADM T < HGHGU‹U¥V°R :C b H yIb H = O ;XC HZ
OO RqFH O O A‘R ƒšz¢ : =;ClRNO AC P :RN=;P H,R <NOP EY…@C P;\ AD?B< A‘RNH M n C P E$qlTs:LUB< C P>\O
M RaO H qFO H ADT kAS< Rub HGªRU ± M[:L<A M H E$P H RN:T P MC OL\LP RN< AuH O C O RDH <RD=;RDH
= OL–1P H ƒ RDOQ¯H$< — HG– = H.2RDHrš E|RCRNP = V O RZ
qlE H O RDASC :LR P E :M O HGRDE$CFy;CFADqFCH š V CRN=URD=;H œaO ANˆDASxoT `M HrU MRDCtO E.ADqFH8Au=iCtUB? H : RNRDCŒ= Z
RDf =>= H <~ H'HGE¿E :LHAP F}AS€‘R ² < T>E|b RNHG_uUJ=;H( M:V O) ANA f < = HGA : ~pqF¤ TBE RDC ¤ :LPF A €‘² OQ< H OLc P ¨U HG( – :V = ) 2 HGADCFA _uO =;RaH RD=;n H XF ª@± E OLqFP H$UBXLHGCtU q b O RNH›XH < RDH.—‹CtA : yBR O C P HGU JK<D:M O
JKOQ¨ :LP < U RD=>ƒ £H2 O¨ EG< H$E.H– B= RD2 Hr U <( Hr:VA IbE HGOQE.PRDCFUBXLCFHGU qlO? RDb HrA _uOL=;< H H MO ƒ ADk A OQš P C UP U :jš ‚ £ A RDMƒ =;± O H ANb A;ZhC E :L:: P P A$n A‘V R F <NOQO P MC PU OHGOUANAŒ;E$RTBR
:LJCF<DA : RDyP=>OHrH'y>E.HGR ClqFšoANCAR‘: OQ?< … ? E$OLTB:LOQRPJ RDACFH A < OLO PRN=;U ;H qF:ClO HrP y U H : XO:QHRJ
HG– _u= =;H V < HGHGA :A sqFTBHrRDE|C RN:LClPXH$:LqF? J RN=;HJ( Z M HGA :LP <D: sH < RNC M HCtA < H.&@T;C < H M H P X RYA$VLy;TBR1RD=>H < HrE :P A‘R < TsE|RDHrU4²DE¿²F MO ANA¿CFA
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<J NP : IH <:L>P“A RNC :LM J H b (<N: V _u=;) < H < M HG= E :LP H'ASE¿R H3< T>F¿E.€‘RD² C :LiP Vž:ŽC H.¦ Ÿ UBHE.sCFHO H P E$:LUB? P H O kR A ª b Ok <O .H &@( T;:X C < E HGOQU'P UBR : CFU ysO HRDH š b C_uRN=;=;C HP < HGE ‚ :Lª P ¨ASR <HGT>– E|= RN2HGU :Qn J XF RD=>¾ H E P;M:LM O ADC AP>O CFA q
š T ClRD=E.RDC ¶ \ £ :V M \ CFX@C I< P;H\ O RNCO ¶ H ƒ Ctk A
¹ OQŒ;P RDRD£Hr UkOLƒP R >AF< &@\LTb \ RD<‰C OQP < Z Œ;( R:X R M: O yIANH A \LOQ< P H UO RDRNH =;< H RN= OQ P k <D±: y b O y>_uCl=;qFCR‘H6? ( :L: J RD=;<N: %H I(H < :X RDXC M H < HRDH.CF— A
Egi:C P P E._uASH[R =;< RNT>H =;E|HRNHC :MP OjH$¡‘H.Ÿ :R < E.CtECFA H : P qT E$< ClE$HrEGHAE.H OQ:L;< J RH1y ASOT E.EYM[H … M\L<NOQ: U[< T CtPRASHrUCUCFC A0P H RN_ =;O H y;UOqFH EGE.k H C ª Z b ¢ b HGASRDC MO RDHrU O A ¶ = / X
UJKB<NH :LP M R O RNqW=;E H :LM < y;C M[C PsOLO < RD?C :LXLP­H < :QRDJ
H$— O’š < H ClRDO = q fO[= < H O q°<N² : U;VBT>RDE.=>HrHU f O = šuO ? A š =;H < < H :LP . < OLP U / . :OQ< M[H4:LRD.=;M H PP;.:M M C P>b O q ( :X M:O ADA OLP O U
CADP Cly;RNqF=;H[Hh² ADC \A0P>O C P qBA RDOQ=>M H4;HGqFXLH H š P HR< R Ha: E :ASRDM Tsy;UBC?P HGRDU=;H[š E ClRD:= M : y;RNC =;P>H O < R :L< : C OA Zq RDqlH =;P;H \ RN=HGE CtASAaR HrT>A‘RNE.CRDMHGU O RN( HGU X O A H RDT _u=>H ( X U;HGE ?
¶ R ”¶ / . = / . yXLHO < EYRN… H.\— <D: OQT < HP U q OLb <D_u\ H$= qF: ? ADH< H f ¡ Hr= E|RDHrA Uyi<N:?U;RNT>=;E.HHrUE.T;O RR‰C RNP =;HRD=;H4< C q M:P;OQ\ < C ? Z
RDRDTsCtE.UBHrCA$PsV O OQqsP U;U›CFASRyiOL?,P RDE.=;HhHyIH.E R:Lš P H$UBH ClRDP C :LRDP =;H RD= O< CR
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< RD? =>Z HXLH M < RNHH.O— ADT :< HGADUCRNC (:P :X UBUBH.HGRNE H O <N? M C P : HrC UP R JK<DOL:P M URD=> H
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URDC T:j:Lš PyICtJKA H:M< T;( qlRD:V y C ;) EYqFCl… Hrf U8= yiT?0RD½U4=;H H$R XL<N: OH RDRDC RN=:hA O :QR J ClRDJKRD:L=;=;<HoC y ( RD<Y:V =>OQPH ) EY=;C P;f AN\a= A JK<Y² O C E Z b š:QJ =;RDH =;< H[H RDn =>XFH ( X:XH < XLRDH$H — < RDH$:L—›<[Ctš A CRN< =HGE : P = AS´ R < T>E| RNHGU’ª’UOQ:j< HšaP< HAS¡ R Hr< E|H RDOQHrM U
_u=;Ct9;A :\ < CFXL( Hr:V A )O y f O = EY… \L~ H<N :E T H P F U €‘Z² R :QuZ H$ADXC \H P>P O RNqAGVG<YRDO =;RNCHo:[UB:LHGJ}E O£ ? b !>M[b : UBH :L~ ´ P yIH$: C yBP;R \ O C RNP =;HGH8U HGJKXL<DH:P M R Z yiRD=;? HZ HGXLE :H XP OLRa< HrC OQA‘RNP C E$MH O MRNH O :QR <J CtE.RD=>HrA H8:QH J<N<D:<
OQP U °n € b 9š T < RD=;< H <DM[:L< HLV•: RN=;H{R <YOQP OQADM XLH <O ADH M[:<M H P RDT< M
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; qF ClHr@ U RN=;:LH P ( RD=;:X HM C MTsA‘R O E|:R C P OLRW<Ny OLO M EY… H.RDHR :< A RD9=>: H š <ClRDC M= OQ< <HG? A sXHrH E|< RaRDH.R —:
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AE sOLPHrE|UBRDCtCFU XLO HGRNql?HGA
b _uC P =;RNH{=;ASHGHGADqlH HrE|EYRD= C :LOLPŽP;P OLH$P qtAU P < H$HGHrE UŽ:LP R AS:,R < :T>BE|RNRNCC :M PCtAS:QH{J RN( =;H:X UB~p£H IªH ª P UBH P£E$£ H ‚@€:Q± J RN=;~ ASCFHGA
H E :LO M qtA :y>C P _ HrO UŽy;qFH$H Ÿk E$ª ClH b kP kE.€?,b CtA _u=>OQH<YOQRDMC M H H Z
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qly;HrC ADP AuHGRNU = OQ\ PH :ƒM ± H$R :L< CFJ E RNO =;qmV}HR AD< H$C qF\HG\ E|H RN<{HGUOQP E OLUP ASUBHGCtqlU HrO E|RNRDHGC :LA P b _uH.Ÿ =;H4E.CFE H :LP M{E.? Z
JK:L< U( :X ) < n n X ² H$O XLH P RNM[Ao: CFA £ b ! ¹ ±:LP b < P;\ :
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P OQP < O JK:< n
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Entries per 5 fs
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200
10 3
150
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100
10
50
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1
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1.5
M (K−π+) [GeV/c2]
2
0
10
20
30
40
δz [mm]
50
100
80
10 2
60
40
10
20
1
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0.5
1
1.5
d0 [mm]
2
0
0
2
0
0.1
4
6
8
0.2
0.3
0.4
pT (K−π+) [GeV/c]
40
100
30
75
20
50
10
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25
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0
0.5
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α = 90°
∆P/T = 0°
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α = 89° ± 2°
∆P/T = −15° ± 11°
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§ / :L(qlP ?BUB:V ADCC P>) \
Rys: H$R RNš =;HGHŽH P RN= RN< =;H$JH H›( ADH1< / HGCOQR <YZ O© RDH›C \LEYP = H OQ< P;A P :LH$J qtA$RDV =;šH ClRD=®EuV C P 1RDF H <SJOQH P < UH P E.:H
: EGOE.T <N< C P;\ O RWP RN=;H:QC P J RDH < ADHGP E|RNC :P,P :QJ RN=;HGADPHy <DOLJ P U;< A P b h: < RDH Z
RD\ = C :LP RWA‰RDCF=>AoH{H UBP H= OQADP CE$R‘?HGUyi?[HGXLRNH =;HRYAh=>H$C qFCFE$RNCR‘=;? HGADOQHM C /;RDqFClH RDT>HUBHrH AoC E.P H RD=;H H
[UBH1U;/IHGH E P O U;? H b¿P © R OQCRNP>=”O qlC ?BP ADClRDCFAoC O E q OLZ ASP R O yIRDH H M™ O O X UB: H T š< RCRNOQ=;\C \ P C P;RD\=>VCFAaO ARD/ C OM E$HHLZ V
šOQP =;CFEY=8/ P;<N\ : XiCFPU;HGOQA¥M ADC M T;qR OQP H : OQT>P A•C PBJK:<DMO <NRN:LC P>:\QP
Z :LP O RD=;HžR < JH$Z H
J H <<NUHM P /sE$PsH H8O ysH$T;:LR CPš :QHGJH P) /;RDqF=;: CRNHT>R UBšzHGM[:AGOV b _u=;UO CtAWRD=>H H
P>M[OASR y>:LqlHrP A O <YO/;E.= qFH OQADPHWP UBUBC H Z‡
RDš H =;H < CH OQPRDC T P y;C P>P HGR Uysq :H \QZ qlCF…LUBHGHLqlCFV = :iAŠ: U;UH Œ>RzR :4ASR O A RNOQHGM U
/;C qFH † :L‚ J
k £L££ ADC \P>O : q¥HGXLH P RYA \O XH : O /n < O HGE$CFADC :P: :LJ ´ > :jª6ša4 bP P
9M[C O \ b_uk =>¢ H b ¢ (V JKV:P <w) < HGE :¾ P OQE1AS< R¾ < FwT>¾:E|RNHGU
ASC \Lql< C PsR &O qL/;HGXLq H RP RYCt:A AbM _uAD= =;P>H‰O …i:LC P < CH Z
y EO EY1RD… CtF E8\L<NCE.: P T;T RNRNPH A <DU J H JKHG< <NE.H :LHrP M ADE$A H C P < ? E$H ql\ T>R C AD:CFP-XLADTH/= y / :jyš HGH$H$ANXXAuH H RDP < =>RNV}AhH4RDH$=;E qFH C M : Cy;RNP>=;C O H RN< H
R R RDšz=;Ct:HE
ER ::L<NM P H H < O A ADT < H< HM) O C PC P š RN=;HGqlCt,A /< HG: U;/;T>T;E.q HrO U RNHGA
U / b O E.ˆ HRVCty>ATBASR RDCFš ql,ClRD/ =': ADq :jADCFš y;H qlH<
ASH P AS_uClRD=>CFXiCFA CR‘OQ? P>b O ql?BADCFA‰E OQP / <D: XiCtUBHay : RD= O /;T < H M H O AST < H Z
MU H P <R :QJ ) <YOQO P U
C P OQAD< C \ =@R°\LC PP R : RDOL=;P H <N: qFO H :QJ /sH P;š\ T>C P\<NO /;: =>Z A b
XLH ADH$XH q•?LH AoADC ClŒsE RaASR RDCtA‘RNCFEGA ClqFq°yIH8E q
Proper time [ps−1]
9 C \ T < H :LJ k ¢ b ª @ OQP;§º\ Œ;R
)”R :OLP RD=;H xo] <NO :LADP>? \QM[Z M H.O R < ?,C P ( < :V P )
¾&E % ¾ ' F b _uRD=;=;H H'A OQM qlH /;qFH šuUO A RN=;\ HzH P ASHR <YO RNHGU /;š = ClRDAD= H‰UB) Cl˜•¶ H H ¹ £5E$4 H V
&% ' ¶ £64 b
RDRD==;HO <R H
š CtA =;HP;P : )ASH P CtA ASCl&$RDCFH Xi<DC: R‘? RD=;R :H RDO =;AS?H:M[/IMH P;H.\ R T;< ?ŽC P X E OQ:LP P CFR AD< =;ClHGy>AGTBV RDCOL:LP P U b
:§ /IP H <YH.O— :³RNOQC M:O P /;qFCtHoAhŒ;AS= R1š :jR ša:O P O CR‘P”JK? <Y/;O 9 CFEC \ O b:Lq;PUk ¢ O :QbR ª OJ b ADH.R JK<D:<DM¬<N:L<:LP :HzP ?H ) OQ< A
O\ RDR <P_ Cly;OLT;M R O ADy>ADHGqlH{ANA R : RN= =;HR q O EY… E.RD:LC O J … P;:jš RDP'qF=;HGUH“< \ HH :O P RN=;O H /I) H PBCFAZ
¹* T;£5=4C $V &*Q¶ % />£ 'qlCl RDƒ T>¶«£ U;,HL‚ V@£ £5RD 4 k=;V £ HWšb°Œ;©ClRNRDAo= =;= H * P X= Ha* $ ys= *1HG$ H ¶ * Ct£A‰H< H$ƒ/s— £ H O E|RDRNHrql£U?4 £… £R P;:jOLšaP ¶ PU
RDRD=;=;HH /sH H<N<DP;:\ <T;C :LP P E :L) P R U;< HGCly>E <TBH RDO C :LASPHrA[CtA yi:? P O’ql?{Jp… O P;E|R:j:ša<P £ R :[¼ bªQ£@© ± =;RDH=;P H
m2 (π0π+) [GeV/c2]
#%$;:1<!=#($
30
B0 → ρπ
Dalitz plot π0π+π−
25
20
15
10
5
0
0
5
10
15
20
25
30
m2 (π0π−) [GeV/c2]
9 C \ TO < H b
k U ¢ Pb ¢ @ _u\=;P>H O n O qFCR P & /;OQq : < R JK:< :jša( P :V b ) ¾E¿¾F}¾ :
UBHrE ?BA qF?ADC q¥HGXLH RYA H0AD=
qF/ HG<NE|:LRN\HG<U HrADC A
P R RD: =>%H &@T ( OQ:VP RN)C J ?’@RD=>¾ HEYH.=—OL/IP;HGPE.RDH$HGqtAU b / g@< HrRDTsE.CtUBASClC Hr:LAP“OQ:< PH')C P b
ˆUBRoHrEAD=O ?B: AT;qFO U U;OU;qFCA RN: C :yIP>HO q°P;C : PBRDJKHr:U{<DMRD= O O RNRzC :yiP'?4MC P O E$?'qlT>ysU;H C P;: \ yBR(O C P HG)U :L¾P
RDRD=>=>HH <NšM{H :O < … HV1/>RD= =>O H ADH OL:QP>JO qFRD?B=;ASH CtA /I:LH JP>\ ( T;:V C P ) E :LPiR² < CFy;M[TB:RNCUB:HGP A{A b CtA{9 H.T — <DZZ
/I/IHH <P;C \ M T;H C PP R ASO RDqFT>ql? U;Cl/HrA8: AN† ADClVy;ªqFH ‡ b O R vw`
xzy OQP U :LJ C P RNH < HGASR{C P
n w¾
9 OLq OP X : T <DZ R OQ\\ Hr:UhJK:LA <NOLM M /;šzqlHr: A¥C P RD=;OQ<YH‰O EY= OQO P;P HGM[q3M( :V ) < n JK <NFŠ:L¾M E
RDE( =>:V H8C UByIP HGHzR :E TsO nAS? HrE1UUB¾CFR ASFR < CFOLy;P TBU RDC :LnR P FwA ¾ :QASE JH</b RN=;_uH=;CRNHrP H ASCH RNC ASOO ? qwAS? ASM[R O M RNH.HGR H.AR CF<(HGCFA HG:V AaOLUBP H U Z
/I/;=H P O UASH:PUBClRD˜I=;H H
< H &@P T E.OLHP V RDClOLRDP CFHGUA * %- * ƒ \ CFXL~ H ³P ¾ yiR? ) ¦ &@ŠT O€|VRNCO :ASP R <Nk :L¢ P>b \QZ b
:LP <NO P P;\ O :QJ JK<D:M O <NP>O M OQZ
AŒ;Dx T RDRD< HGH UA‘M R b H P C RNA C O qFq :jRN=;š H{A X RD=;qlHT>H : RN=;H < RD= < H$H›XqlRDOQH < C O y;RDqlHrCFXLA H R : H yIH
O A0O Cl_uR =;\ CtClA[XP HGCFA A O OQM{P< :HGPADO T;RSRqlR<N<YOO š E|RN=;ClCtXEYH =P M CtAWH.RDRN=;= H: :L:LU P < H.:QRDk JCtª E bMO ª qlHF?,O ADOE.T qF<H COLP;P \ b ) ˆ R V
=E OLPAaysO E$HGE$H T M UBT>H q O RDH OASR R OQ\RDHr\ UHrU4C A OQgiM HGE./;RDqFCH :QJ•:L< UBH <žRN= ªQ£RW£ …8vŠ`0ADT>xzEYy=
H$` X:jH š P RNH$A°XHRD=< V1<N: ysT Hr\ E =O T>OQASP H'C PRD=>E.qFH”T>ADADClH XP H‰ADClADRDH$CFqFX@HGClE|R‘RN?C :R P
: :Q)J n CtA4 Fq :jU;š HGEV1O RN?B=;A H b
ARDS=R O OQRNP CFASCRDP CtE RDO =;qŠH H (<D<N:V :L<u) JK<N¾:LM E¿¾ RNF =;H8OLP>Œ;O R0qF?BCFAASCtASA HGb XL H <NHGO XLq¥H <RDRDC M =>H$HGqFAHGANq A$OLV <DRN\ =;H H<
ET;Y= C P;OL\ P;b P H$q < H MO C P A/ <N:LM CFADC P;\ OQP UASRDT>U;ClHrA OQ< H8E :P RDC PBZ
72!=$;3 "!#%$
' 7 #
( :V ) F E
Mvw`
HO P xzRN:Ly¬A P :QCFJA RDO O=;y;H qFOQH“P;M[R\ ::LqlH P M) O<NC O…P”HO E X :LOQM < CF/;H.qFR‘JH ? M O :QH J P EYR = OQOQ< ?P;P M:LHGJhqFAH <bO ASgiT C:L<M4P;H ZZZ
T;A‘R q < TsRDCE|RDC P;\ = RNA4=;H UBH M[: UBHGA‘A R ( RD:V HGU’) RN=;@H ¾ OLH P UADCFy;( ClqF:V ClR‘?) n HrFwE ¾EaV
:QOQJP URD=;šoHrAS:LHO < …EY= CtOLA P;:O P P;HG\LqFA : < b C P>_u\ =;HR :L: P M &@H T :LO OLMADPT RN< CH J M?›JK<DH:RDP =>M R H :Q) J.: )“ADH šP ASClRDClRD=CFXiRDC=>R‘? H b
ys`hHrH A‘< RH
ASvwR `
RNxzCFASy'RDCtE HrA‘qRNC /MOHrRNE.HGCtASA C OQP EH <N<D:HG<zA :LJ ´ X ( >'V ¶ ) £ ¾ £E¿ªL¢¾ FC P
:LP;P: H?P;H OL\ <:QP Ja: :L/IP H <YOLO M RNC :P>P O V JK:L:P < b RD=;H'EO O ADH š:LJ =;H < H[RNOQ=;:H P[< H< CFAZ
¡O HGE.RD/IC :LH P P / T;<N<C : X@O E CtPUBHrUR yiP ? C RN=;RDHC œaˆDxo(o`šzHGE:LADZ?BT>A‘:RNADHH M VBRDRNO =;=;HaH…\LAD<N?i: ASRDH P M{H Z
CRDFA =;RNCFH P EWH /sT \ H qlP;C E.\ \ H CFT>y;R CqFPŽH Cb OLR‘Mœa?H/>C O qlCA RDUB:LT>T>P>U;E$O HHGy;UqlCtH[A yiP?{… HrP;R E.:jHGš ANAqFHGOQy U < ? \ UBH R?::Ly J < H$RNEYR=;… O H C P,ADC \L&GT H:i: U;:QU AJ
/ < HGE.CtADC :P'š =;H P RD=;CtAuH.˜•HGE.RWCFAuC P E$qlT>U;HGU b
! #Y" %!W3 $}&|/¿& #'&Y/ /¿2
_=;uH =;O H Xi/ICFqlH? <DJK:L:LP <NMRD=;OQH P E$M H¿H ASO RDASTsT UB< ClHHrMA :QH J P vŠR `0:LJ xzžy
V = O O AuXLClH RhP>CF:AaR H$JK—: /sE.HrT>E|ANRDADHrHGU U
RDH.=—O/IRŠH <T>C ADM C P;H \ P RYRDA$=>VH C P \E$: qlTsqtUBUBH C PP>a\ EYRN= =;OQH P;P \ HGH q;P ( H <N:V O q) /;fT =< / : ² ADH›: vŠRD`0=;H x <
MUBH.H RNP HG¦ RE.bR :L< O AGV :Lš P CFqlk ¢ ysb Hk £ O y>qlH’R : /I: H <DJK:L<NM RDM =>CFA O M <H O AST < H Z
O : AD? M{&@M <YT OH$R RD< C ClHrA'E :LOQP P>AS\ R < T>CtAzE|RNTsHGb ASU Hr9;U JK<N<N:LR :LM M Œ>ORoC P RNCl=;RDHC O Dq M H( :V ADOLT < OLPHG:UU xo( ] :V
R:LP H{H.—iT>R ADHGU E.RJK:LRD< =>HRD=;H ( qF:V H ) ¾ Ež¾ FASRDT>Œ;U;R?LV•ADCRD=>H CFq JK: qlq R :jš RDC P;=>\H
/ASHG< XLHGHE.<NCtADO C qI:XP O CFqlA T;Hr: A yBR:QO J C PRD=;HrCtU A C OLP P;RN\ =;qFH H@ UBH.RNH <NM C P>O RDC :LP:LJ žV JK:L<
´´ XX ¶¶ ££ ££ kk c ~~ ››¶¶ £6ƒ £54 €4 €
´ X ¶ £ £ kk ~ ›¶‹‚ £54 € ! # !% W3 $}&|/¿& #'&Y/1& $ /¿2 A -83 A
_u =;H“X'EYys= HrOQE P>O P TsH$ASq H›( RD:X=;H ) ™ O nX : XF T ¾ <'E:QJ CtA,RD=;EYH = : ( ADH :X P O RR”:ClRNM A,H U;O HGADET O < ? H
CF_ A:R\ OLH$\LRD=;\ HHG<0Uš T ClP>RD=’OLM RNy;=;CH[\ TC P : ClT>RDCADO ql?q ™ yiO ? X : RNT =;< H›C PBADC JK\L:P‹<DM:QO J RNCRN:=;P H V¥n RN=;XF CFA b
:O qFANq E.:jCF<Yš qlO OA RNHGO :LU PŽADH1OQ:L/ P J OLU<NO RDRD= C ::L: ADP HyIRN=H.OR O š R8H$:L= H P,PO XJK<RDH =;P>H': H$RGXPV H OQP P RNb U›ARD=;= H OP R4E.H[= : ORD=>XHH
H.n —iXF R ¾E‹E.RDEYC = OQP>P H$RDq =>O H qtA : ADE$= ClqFO q AhRDRDC =;H{q OQ<N'H \ &@HGT;ASH RWXiE.Ct? ASCFy;_uqFH=;Hy <Y( OQPX EY) = Z
COQP>P \U”<YCtOAoRDRDC =;:H <:LH JJK:LO < qFH0q RD( =;:X H EYM[= : OLASP;RhP ASHGT>qFA'CR OT y;P qFUBH0H R< : E /I:LHP <DADJKCF:LU;<NH M <YO RDO C :LUBP C Z V
< HrE|R :LM P H P O AST O < H J M PH P R ::LPJ ': X.Vyi?Œ;RS<DRN: C P>\ <SZRD=;HhM ADT M¬:LJ< R šo: Z
RDH.C—:L/ P:QJH T RNP C R OLq \L\T HrUE|RNHGC XLH P A0RYRA b RD=>H%/ /sH RDC H4UBCtA‘R CFy;T
P :LM< OUBH < M R : M{A‘Z RNT>UB?RN:i=;: H›ADH P ADClRDOLCFX@< ClR‘?R <D: JK:L'<NM X OLP:PU
ˆ
AH OL<YOM R X|/;:LV <‰qlHrO A AD:QADT—BJ¿MC JpO HGA‘T AžR RD¨ =;qlH=:LCF…LP / HGRDOQqlH4CF<Y= OQx M OL<H.U³qRN: H Œ>< H$RNA XA \ H CFP XLRNH AH9P b /IC_uP H =;_ H O Jpy;O qlA‘H RHrU k \ ¢ H b PBª Z b
¦‰O :LEYP = A P>OQ\M /;: qFH,:PCFA \ H P OQH <W<NO:QRDJ HrU O š O ClRD= O O P;A‘\ R O RNb CFASb RDCtE$P AE :L<N< P;H \ Z
A
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AS T < H X M M H P H RGO V ADT :<< H M‚ H V P ªLR£Lb £ _uR OQ=;\LH”\ HGy U‹O EYAD… C \\<DP>: O T q0P H$UXH UBP CtRNA‘AR < CFJKy;:LTB< RNRDC :=;P H
JKCFO Aw:L< R O <N,…LOLH\ P4X <O ¶ AŠyI:L H$P C P;\ < X RN¶ =;Hu£ A b OLM _u<N:H =;OCtA8Aw< RDCtA=;HaM E :ADCP \šADP>H O< Xq@O UBRD<NCtCFA‘: XLR H< OCFy;O TBA
RNRDC :=;P H
qJK:j<NXLOš H E|H RN<hC :JKP”H :L< :LHGRNJ E =;y HO ASyEYR… O \LEYT><N… E.: \LRDT HG<NP:U TU / P R UOQ/I\RN\H= HGOQU PŽRDC O JKAW:LH < = RNO =;ClXiqFH4CqP>/ AD\{C \L: P>y ADO E$qCly;bqFqqFO?_uRDys=>HrUHH
O M : ªQ£@± b OLM O <YOQ\ <N: <DZ
RDCFOQA C < M HHADTsADAS<T HrHGUA : HGJKqFUŽ:TB< RDR C H:LO P,yIEY='OQH P HGU XLH O P XLR H b <N_uOL\=;HHšaA <D:P;H \QZ R XOLH \ / <DH : y / O y>/IClqFHCR‘?
P H : YhT>< ADP ql?OR OLJK\L:L\ < HrURN=;: A H OQM M /;OH qFOQHGPZmA š :Q( J :X H$qFXLC JH H$P RDRNC AM < OQH <P H8. Œ; RDRD¶ HrU›k AD= C M Xb T;OLqlR P OjU Z
RDA‘=;R O H RNCFASHGRDq CtE RDO CFXLqH / ( < HGX E$UBCFADHGC :E P? : yBRCtUiO RDC P=HGUBU Cl˜•:H P H RD=;E$HrH AS'H / OQX =<YOQM X H._uRNH =>< HA
CFUBA H \P CFE.XLH H JKP :<ŠC P Ou_ P;O:y;PBqlZ H &GH k <N¢ : b ‚ X O OLqFPT;UH :QC P J UB'CtEO X RN= HGAžX¥RDE= OQO PRoOUBq C < < H HrO E|UBRo?H$XiysC H Z
: yBJ R O <C P HGU P OQJ RDH OQ<a< :P :LHJ8?L< H OQP>< PVBC P>J \ 'X = XoCFO A O RhqFH O O ASR ƒ :j£iš ± < b
§AS= :RNHT;qtU­RDH ysHŽ?LADHTBŸ AE.CFH P RTR : U;C CFASRDCVhP;RN\ =;T>HCFAD=A‘R ,RDCt ASRDX Ct= E X'q./¶ ªH±
JK<D:M &$H <D: bk
O ¢ b :jš < :LJ JK:L< Z
CJ P>H < \ H _P R OLE$HLy;\LV°\qlH HrEYU’= : H$ASXLH HP ADP = RRN:A \yIAžH HPRN=;RNH =;<NH OHRDHrE.HrASHU T>P qRš RY<NA ClO RDqŠ= X Œ;OO qFRYT;(A H :X :Qš JzCt O'UiRD< =HGXzE.U;HT>CP AJ RZ
RDˆ P=;H RD:L=;< H.HrRNASCFHE O Œ;qRNA/ < y HG:U;RDCFE.= RDC :LP‹X OQ:QPJ U '' X = X X OQ< ¶HŒ;£ —B HGk U­¢ EF R ::: : RD=;† HGcrC ‡m< b
R:Q< J T;RDHW=;X HŽO qlE T;OQHrP A UBb CtU¦ O — RDOLHGM A{/;R qlOQHr\A \ :LHGJU / O <NA[: /I= H O <DXiZ RNC CP;M \H: U;ANCFE.ASCFRql< O Cly>RNHGTBU RDC :LOQP < HA
ARDSC= :L:jP šaUBP T;C H0P”R 9 : C \'b k X ¢ = bdcibXž_uCtA =>P;H0: U RaOLADM C \/;P C CP>ŒI\E OQ:QP J R RDO=;RuHRD( =>:X H0: EYAN= E.: CFqFASq H OQP Z
XT;OHGqFA T;:LH J :Q'J k ¢@X ±= V@X|y;V TBO RoAaE UB: H T;M{qtU:P yIASHR <YADO C \RDHrP UClŒsC E P,OLP 9 R C \ JK:LT < < H q OLk <D¢\ bHa¼ Xb O q Z
800
600
400
∆ms = 10 ps
−1
∆ms = 30 ps
−1
0
200
150
100
50
0
tagged
tagged as having oscillated
tagged as having oscillated
(background only)
200
Entries per 0.02 ps
Entries per 0.05 ps
_OQP O Uy;qF'H k X¢ = b ‚ @ X :g@yBR OR ORDCtC A‘P RNHrCFEU O JKqž<N:LT M P E.Œ;H <RYRA O :QC PJ R‘T ? P R :LOQP \L\ HG. U8 A ¶ OQM k /;= qF HGAX
:Q:QJJ ( O :X O ) O n XF P;¾\ E‹b E OLP UBCtU O RNHGAGVIH.&@T;ClX O qlH P RWR ::P H?H OL<
U R R …iC
_ < T;H £ 'b £L£ X = X 0´ £ ~ k£L=£@ ª X />€ A ´ ~ '0£ X £ = c X €
££ bb ££ ƒ 00££ ££L£k £ />A 00££ ££L¢c
££ bb £k ¼¢ 00££ ££ kk ¹ª />/>AA 00££ £L£¢ª
££ bb ££ 00££ ££ k ƒc />/>AA 00££ ££ ƒƒ
¼
‚ />A
0
1
2
3
4
5
Proper time (ps)
9n C \ T < H kOQ¢ P b„c @ O ] <D: /s\ H <SP Z RD<NC MO H’U;š CFASR < Cly>TBšzRD:C :LP A :L< J P( :X O ) Z
T;M[HGXFO A —B¾:LC E“M J TE M{Z U;qFX ClCFb…U H$_uqFRDCl==;HrA:@H: E$U H T <Œ;H XLRaHGRARD: HGU;U RNCF=;A/;H
qClORDR =:?ŽR RORD=>q°H A OQU;< M HGC˜•AD/;T;H qFqHGR HA b :LRzJ X RD=;q H
Fraction of events tagged as having oscillated per 0.05 ps
1
∆Γs/Γs = 16%
0.8
0.6
0.4
0.2
0
∆Γs/Γs = 80%
0.8
0.6
0.4
0.2
0
0
1
2
3
4
5
6
7
8
9
10
ps
:J9 ANC < E.\ CFT Pql < O H RNHGO k U ¢ bO ¼ A @ O4:Q9>J J <NT O P E|E|RDRDC :LC :LP P”:Q:Q~ J OQJ P H$/ XL<DH : P /sRNH A{< R RDOLC M\L\ k HHG£ V U JK:LO < A{R šo= bO: XiUBC P;C J \ Z
EŒ;.H T Ra< H R XL: HrR}A¥RDX =>UBH
CFqlAT;/;R Hr: q OAR ?aO q°RD=>A 'OQH M< XHr/;= ASqFT>HGAqX R b :LJ RNU =;H MO Xž—B¶ C M T M{/sZ AqlCFF …LHG€qlCF= _u:i:=;UH
'
_R O O C y;P qFHGH U kJK<N¢ :Lb M @ Œ;giRYAR O :LRNJCFASRRDOQCtE \O \ q[HrU,T P A E.OLHM < R/>O qlHrC P A R‘?:LJ :L( P :X ) n X XF : ¾y E Z
E OLP UBCtU O RNHGAGVBH'&@T;CFX O qFH P RaR :[:LP H0?H OL<a:QJ U O R O R O …iC P>\ b
_ k< T;£ H />A F X 0£ ´ £L~ £ ¼ /sX A € F
ƒ ££ />A F 00££ ££ kk k /sA F
@£‚ªL£ />/>AA FF 00££ ££ kk ‚¢ /s/sAA FF
/>A F
¼ /sA F
J :iRN=;: H‹JE :P <D< HGE.:LR P M C P JKC : M TP M ~p:Qš J RD=;H P H: \O RDCFXLO Hšoq O:L\LZ
ˆ
qFyICl…HH$RDqFCl=;= H'E UO ADH[T C J E.RNRD=;C H X CtO A qFT;H T :QJ U =;X CtCtEYA =P;AS: = RT;R :iqtU : q OQq <N\ Hr?B€.A V
RDX =>O HqFT;P H RD:L=;J H A‘R O X RNCtCFAwASRDXCtHE <O ?qA T MP OE.HqFq < VrR R‘O ? C /;P R‘CtE? O qF:LqF?0P qFHGRDAN=;A¥H RN= M OQH P4O £ADT b k < ±HGU b
M` :jT š M H$OXC PH M <E V}< H ORDO =;ASH(Hr< A / Mš<N: CRNy P =O y; ClqFClP;R‘?: X b R :L9>: P;:L\Œ < P XL< UH < RD:?=;Hq OL<Dša\ <NH0:LXP;O \ŽqlT;M HrP AC P :QC ZZJ
Xiš CF=;U;H T X< O H[qsRNX =;O HHqlT>OQHGADAPsT O :LHqFJ ?i ADHCtAR¿= X1CFO EA AOLP A :ysMq HhH H$—;ADH HE.PqFT>/ ASUBClRDHGADCFU[XiADClCy>R‘C P? qlHb RDVQ=>y;_uH TB=;<R1HH C \ ASC RUB:LOQCP Z
RDO Ct/ASRD/ Ct<DE : O —Bq°C ADMC \LO P RDClHGŒsql?E OLyIP H E.H ša < CRD:QRDJ¿H P,O O( A:X † ¢: ‡ANE.CFqFq O RDC :LP ADC \P>O q°E OQP
LONTP = ƒ . ~ k R Mƒ S LONTP € R ~ X ´ € = ƒ k
k
~
¢
b
šOQP =;H < H OQ\ \ LONQP CtAOLP RD=;HO R : R O q P P T M yIH <”OQM :QJ8< HGE ~ :LP \ASP>R O< T>E|OLRNP HG¹U €
yA OQO M UEY… /;\R qF<DHL: V T S HGP L U­U>NTP €.E V RN=; .H UB šaCtU RN<D=;:RNH P;HG\QA[JKZ<NRCO OLE|\ RDRDC =;:L/ PH<N: yA:QJO y;( CF/;ql:X C qFR‘H ?LADCV \LADOLP>C P O U'qzC´ Pq RNRN=;=;U HH
/RDCl<NR‘:? /I­H <DUBZ RNHrC EM < HH O < ASHGHrA A1: XLqFTBH RN< C ? :P&T>~ CFASEYHG…iHWqF? _ O O y;A qFH k ¢ X b ª C €P b E <_uH =;O HADHG&@A T OLOLP PBU Z
Ct/ AWOLX<NOLH M< ?”H$RDADHH <P b ADClRDCFXLH8R : ´ V š =>CFEY=ŽCtAWRD=;H < H JK:L< H O E < T>E$C O q
M{:< < O MO :QJ OLP : O P
UT>BCAD< C HrP>§ E|\ RNRDql? =;HJK<D:H OQM M HGRD/;ql=>C qFH‰CRNy>AT>qlOLH{UBM H¿HG/;ASŒ;RDqlR CHrMA :QH$J@RDRDH Jp= O : ASU R ¨† ¢:E ‡ P b RDˆHzP yIx RNH OQ=;< CtqA :yBM R HGXLH.C RDH =P HG:RYU A U
OP H š <NM / OL<N:OLM ~ H.RDH < V°RD=;PH ( :X OLM<D: />qlC RD<ST>Z U;MH 0 V M <T;qlRDC /;qFCl:LHrP A
RDJ T=>P HzE.RNRDH C :LP A E :LAJ RD=;H X ( €Š:X C ADC RD\L=>P>H7O /q b /s_uH =;H RDC OQM Ho/;UBqFCCtRNAST>R UBClHy;T;0 RDC CtA
MMHO O ASMT < HGM{U Z O RoŒ;—BHGU:i: X O qlMT>HGA :Q:J b X|VBT>ADO C P;\{O ASO R OLP P U OL< <DU Z
RE O: CT P —BP R‘C R?›O TCFqlA qsOLRD=;P qlCFH …LHrHGJ A‘H qlRNCFO =C MRDT O < RDUHGH A :Q:QJH.J RNRNk= =;= H WU JpV O šASˆ R RY=;Ah¨ CtEYAS=’:R P RNR RNCFO H
AS…LRDx HGCtE A0OL< Cq°qP : T R :ŽA OQE$O HM{E ZZ
/;H.Ÿ qFHLE$VoClHC P P E.E.qF?T>V•UBRDC =;P;H[\ UBRDCt=;A‘H R < CF/ y;<DTB: RN/sC H:<SPŽZ RD:QC MJ RNH”=;H{UBH<y /sO H EYP … UB\LH <NP : E.T H P U¥:LVJ OLRNP =;U H
RDAD=>= H:jš : A
ADE$RDCl=>qFq HO RDASC C:L\LP P CU ŒsOQE MOQP /;E$C HP;\ U;¶ T;Hk R= : ´ 'O AX b O,9 J T C \ P T E|< RNH C :P“k ¢ :Qb ¹ J
M O …X H O OQClRP\C : P P y>UBADCFH E < O OQX RNP O HGRDA{C :LRD:QP,= J°O :LO R J :L( P :X OH”: H.AN—E.ª /ICFqFqHGO E.~RDRNC A{b :LP bR :A š yIH CH RNª= O y;O qFJ HASR ROQ: Z
RDR Ct< AST;RDH8CtE X Oq•qlADT;C H :QCJŒIE E.XaH CtAhqFHGANR‰AuqlH RD= ASOQR P ´ ¼ />C A H F V :L< H$€1—BE$C qlTsRN=;UBHH
_x O OQy;< qqF:'H \ k H ¢ P b ªH <Y@ O R ] :L<hOL<NJKOL:M < H. RDH < AX ADTsH ASP HrADUClRDCFC X@P ClR‘?ŽRN=;ASH RDT>JpUBO ASCFHGR AGV¥¨ T>:LADPC P>RN\H
J T;O qFql?O Z < HrO E :LP P A‘R P< T>:LE.PRDHrU ( OQ:X < ) OQP n XF ¾E < E OLP UBCtP;U \'O RN< HGA O JK<N:LM P
U R X b R …LH C H4?H V URN=;H HrAST;qlRDC H EY=ŽC
k bdc
¦ P OL<NOLM <
œœaHraE HGb Ÿ E OL:LE.P P CFUH ASR R <E$OQT>? \E.\/RDHGHrU'U H$H$XXHH H$PP RDHRNRNAA DLONQP ¶¶¶¹‚ £¢ VV ‚ªQ/s££A ££ F
( :X /;T < CR‘? . ¶ £ b ¹ ª
© <N:LP;\ OL\ <D: O S LONQP £ b £
] <N: /IH ¨ < RDHR COLM P H /( < :X HrA yqF:C J qlH$y>T;RDRDClC qFCM C:LR‘P?H ´k = XD¶¶¶ k ‚b ‚ª Jc A />A
( :X š CtUiRD=,UBCl˜•H < H P E$H 'Xs¶ k ¢@± X
ª¹ @± ª ´xovM H.H —;O ADE.Tq b < :QH MJ H P R X :QJX O qFT;HGAX TT/”/”RR :: ª ¼¼ />/>AA FF
Significance (σ)
15
10
> 5 σ signal
5
95% CL exclusion
0
0
20
40
60
80
,
100
∆ms (ps−1)
9 C \ O T < H:P k ¢ b ¹\LPs@ O g@R OO RDCtA‘ORNCFJ E O P qaADC \:LP P“CŒI:LE J OQP E.H :Lb J RD=>H-( :X \P : AJ ZZ
CRDFE.E CtCFA‘qlOQRNP CFERNE$COH'q4CtA T ASP :C E.y;H R < O R qC O P C HrP A U R‘? O A:LT P k = E.RD´ RD=>C H V : š ANE.=;CFHql < O HRNC ´:X P _uOLCtA{M =;HRD/;=;qlADH,ClCRDTsASUBR C OQHLZ V
Mš H O ADT < HGU,C P›OJpO ASOLR P ¨ :LP RDHx OQ< q : A kOL¢@M ± /;bqlH \ H P H <YO OLRNP HGU
URDBCtH$ECRNqFO C = MqzTCl RDP HrE.UŽH X < yiR ?'
¶ O C RDP =; R‘H? R :LšzP : URNE$=;'T H < XL/ X HG<N= A : /I< X HH ™<D¶ Z HGRDE.C RNM AaH RN=;< HHGA _u:k qF=;´“TBH,RNA‘C R:y O P“RDCt:QA U ZJ
´ ¶ ‚ ƒ JA b
X O qF¶T;HGA k :L¢ J@ª € b X_u=;O R HrASH¹ ªX ± O qFT;xoHGvA :LTJ /­ R :X{ª ¼ E :/><DA < FHGA/ :~Kš P U=>H R< :H
X‰¶ c ª4OQP U¹ k V < HrA
/IHGE.RDCFXLHGql? b
© CRN=;C P RN=;Hg@R OQP U OL< U ¨ : UBHGq V :P H
= O A† cr‡
~ k ¢ b„ƒ £ €
' X = X ¶ ~mª ¢ ƒ ¢ € k £ F š CRN= OLP T P E$H < R O C P R‘?C P UBH1/IH P U;H P R :QJ xo² ¨ M[O R < C—
(
¼
HR$OqFH C MP R‘H?LP V RYš A =;OLCtEYP =”U CFAuMH$O — C /IP qlHG?‹E.RDHrUBU T>HŽR : R : U;HGRDE =;< H›H O =ASHO U C P <D:RDP =>CFHEŽJ T T;P RDTE.H< <SH Z b
_uAST =;< HH <M H JKH :P < R HVŠ:QJC J ' X Xš CFClqFA4qŠq yIOLH <D\ / H :< ANRNAD=Cly;OQqFP H OQJ¼ RDH /><A:F P jH8V O,?LH MOQ<H Oj:QZJ
UO EGO ER :LO < R UBO C …@P;C \ P;\R :~ AS¦C P &@E$T HžO C RNP C :RNP= O kR¿¢ E b„O ƒ AS£ H€ 'OQP UX = š X CFql7H / £<N: Xiƒ CFUBH £ OLƒ P£
C¨ P UB: CUB< H$HGqmE.V R O M qRNH= O : ADT T \ < = H M š H ClRDP = R :LO J q OQ<N\ H0X T š P CE.RNH=;< C RP O RNC P =;R‘H
? bgiR OQP U OQ< U
! # !% 3 $}&|/¿& #”&Y/ /¿2 OLP;\ R ƒ M O < JK<D:M
O
Cql_uPCF…L=;R HG:H qlCF= n :iX : ²U0qFH Œ; RN b A OLˆ < P HžTsRDºAS=;HrCtUA›CtA JKAS:LRD< TsHUBUBHG?LADE VT O ?ADHrH1OU/ ASOQ? <YM[O RDM H H.MR (< OCFX,HG—iA UBC M:LHGJ E T RDM4=;?BH AZ
n O XE ² F k OLª P b kU[ƒ RN=;H M[n MXF OQD² < E›Œ P>O qIASR O RDHGA ~p¦ &T O RDC :LP P k ¢ b ¹€ b
JK_OQ:LM <8y;:qFH P H?LH OQ<Y<O AS:LT :J U O R~ O CtASR HrO AW…iC RNP>n =;\ Hb H.§W—/IqRNHG= E.: RDTHG~ U›\ =H$XRDH=>Hn RUB?iHGClE HGO qFU;? AZ
CFC PA C/RN/;C < O qFHrCqRNUBT>(CtE|UBXRDH HrC U›P R RRD: :C n yI* XEH ² (F X
£ ) OL ‚P ¹;UV°XE RNC P=;² RH: F¿UB€ n Hr= E XF O ²D? (E <YX
O ) OQRNHG< AH JKO XF:q <M[D² RDEž: =;AS€ HR *
CFU;H P ¦ RDXLCtE H O P q°RNUBA T;OQH
< HR : \ RNH =;P H H <N<NO O RD/;HGCtU U :š ADCE$RNCl= qFq O 'RDC :LPX = A b XD¶ £ k ¢“JK:L<
XUBOQCl˜I< CH : < T>H PAE.X HrO A qlT; Hr'3A 24(:Q'6J 5 b X _u=;¶ H JK< H$HX / = OL <NX OLM OLP H.URDH < ASAR <NOQ:L< P>H \Q* Z%-/;* = OLO P ADU H
: n ~n
OQ<N\ ~ OLP OQ<N\ P
Œ P>X V O '%qsAS R XO* % = RN*HGAGX V OL< UP HGU0A/IRDHG=>E|H RN%;Clša€XH$<NC qF:L? P;RD\L~ =>E Z JwRH OQ¦ Œ;\u&@R4JKT <YROO E|RDCRN:LC :P XE P k² S ¢ FLOb NQk Puƒ €OQb < XF H gi²Cš P EHGE.qlH€
M : H O ADT < HGO U{T>ADC P>\ ( :X JK):L< n XF ¾ E“UBP HGE \O ?BP A$VL<YRDO=;HG? :P OLb < HaŒ>—iHrU
R RDY =>HADC P;X \qlT>¦ HG&@AuT T>O RNADHGC :U P k ¢ b RNk =;ƒ Hy H$: XRD=
H RNR =;H H OLP;H \ qFH RNC R ƒ OLP U
RDys=;H0H{UBA‘H.R RN<DH :<NP;M \QC Z P C P HrRNU H b <YO` E.:jRDšC :LH$P XH/;< = VQO RDAD=>HHUBADClH ˜•P H AD< CHRNClP XiE$ClHR‘?{ R '3: 2 '6R 5 ƒE OL P
UJKB:LH1< /IUBH PCl˜•U;H A < H:LP P Rh X O '3qF24T;HG'6A 5 :LOQJ P U X OLX|P V U O Aa ADR= :jƒ ša P C OQP P _U O y;qFb H k ¢ b ¢
\L:QJ<N: B±T _uP =;UHP = H$O ˜IXLHrHoE|OQyIR M[H$H:Q: P J PASR RDšoT>:Q: UBJ CFnHGE U4:P C RP < CFUBOy;H$TBR RNO \C Cl:<Dq Pb: A,§ P P R : T OQP RDP =>E.H H < :QR Jy O kOC P £@EYR‘…± ? Z
C= P O A RN=;OŽH C P OLHM{RD\ =;:qFC H T \ PCly>R qlH :QJ T H$y˜IROHrEYE|…R[\LE <N:L: X‘M ¾'T P / y U OL< EYJKHr<N… U’:LM R : T : RDRD=;=>U H”H < A‘(R U O RDUBCtHGASRDE CtO E ?BO A q
H§W<NAo<D:AS<8= :j:LšaP P C P R giƒ HG E.¿RDC V}:LPHGXLkH ªPbdc OjJRDRN=>H H< H$k — £ /IHG?E.H RDOLHr< U A y :LOJWEY< … T \P;<DP: TC P;P \ U b
qlUBHGHGXLE HGO qI? CtZ A RNCM M T>H EY=”< HrqA :j: š qlTBH RN< C :RNPŽ= OQ:QP J RDƒ =;£iCt±A b §WU : qFAHG: A V P;OL: P R8H EY<D= <NOL:LP;< \ C PHRDRD=;=;HH
Œ;R < ˆ HGRzADT;CtA‰qRYC AaP RDASH C \L< HGP ASCRDŒsC EP;OQ\ P R RD:8qF? P;b : RDHhRN= O R OQ<N\ %[= O A O R šz:LJK: qtU
P;©OQM: R1y;UBC \ H$T;RDH ClR‘<N?M Cš OP =;HGU¥H P V O 'A¿E OQX P = yIX Hu¶ ADH$£H P4P8b JK:ˆ<NPP :LM¬RD=;¦ CtOLA &<ŠT E :LOO JsRDAD<CHL:LV P P;( P k % ¢ P;b \‚ CFA b
RD9 =;C \CtCARNT =< OQH RNM =;k y;Ha¢ C A‘b\ kR T;£ ClRNR‘ASCF?³AS= RD:jCtE E$š OLA}AoP H.RN—yI=;/IHH HGE.P < RDHGH HGA\U4: O qFCRNXLClXHrU‹H
q HzC:J \Q?Z'H qlCF…LHGX ql= CF= :iXT : UCB±UBCtA Z Vb
Rš < CClRNy>=’TBRDRDC =;:LH[PH$:QXJ H RDP =>RNHA
Œ;H$—R /sO HrA E|RDO4HrJU’T P C P’E|RN:LC :P P,H[:Q?JžH OQOQ<
<N\ :L%•J V U : O yBR R O O CR P O Hr… U Z
COQP>< \[H[JKR :Lšz< :,M C¶®P C ‚M[£O OQV P :LU P H,A : = qFTB›RNC¶ :P£ ~ £@RDª=;bH”§WE :qRN<D= < :HGTE.R \ =:LP RDH=>€
H < CFHA
_:QJ O Uy;qlO H R O k ¢ R bO ¢ …i@ C P>¦ \ —b /IHGE.RDHGU H <N<D:<ž:LP R ƒ JK:<z:P HW?H OQ<
R ƒ ¶ k £ ¶ ƒ £ ¶‚ £
¶ £4
£ £ 4 4 ‚ª k 44 0¢c ¢k 44 c £ƒ 44
‚¹ £54 k £ ¼ ¹ 4 k ‚ £64 k ¹ ¢64
kk ƒªQ£5£544 ¹ª £544 k c £ „ª;4 4 kk £6ƒ 44
¹
‚
5
£
4
¶‹‚
£6£54 4 0¢ ‚£544 c k 44 kk ££ 54‚ 4
‚¹ £54 ¼¹ ‚ 4 k ¼ ƒ ¼ ƒ 4 k ‚ c 4
kk ƒªQ£5£544 0¼¢ ‚ª644 kk k 4 4 kk¢k „ ª;44
¼‚
¹
L
¢
5
£
4
¶
£6£54 4 ¹ ¢5ª644 k £ ª6 ‚ 4 4 kk ƒƒ „ª;ƒ 44
‚¹ £54 ¹ª ¹ 4 ¹c ƒ 4 k ‚ ¼ 4
kk ƒªQ£5£544 0¢ ¼ 44 kk£k 544 kk k ‚ 44
¼
¹ ‚¹
11350
−log(L)
one year data
xs = 30
∆Γ / Γ = 0.05
11300
6σ
11250
0
0.5
1
1.5
2
2.5
3
arg η [rad]
Q:9 J C \ RDT =;< HH kPŒ;¢ R b k O £ A @ O H J \@T O P RDE.CFXLRDCPH':LP q :L:P \Q:QZ JŽqlCF…LOLHG<DqlOQ\ CF<,= % :i:L: J: UyBR UBOO CFCASPO R HG< CFU y;O TBš RDCP;Cl:LRD\ P= b
RDgi=;C M H“T;HGq XLO H RDHrRYU‹A,U H.O —R /IOHGE|OQRN< HGH U\ CH P H <YO H“RNHGU ?H š ClRD= U R ¶ ‚R £…iCOQP U
, = Ž¶ £ £ª b
E.qFH OQ< qF? pJ O X : T < HrU b
¹
_JK:LO <ay;:qFHP Hk ¢ ?Lb„H c OQ@ <ugi:QT J M{U MO R OLO < ?R O :Q…iJ¥C P;< HG\ E b :P ASR < T>E|RNHGU[H$XH P Rž?iClHGqFU>A
·: ¶ £64 ·¶ ‚ £54 ·¶ ¢L£54
:
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! # %!W3 $¿&Y/¿& #'&Y/ /}2
<Y¦ O —iRDRHr: <NA O :QE|RDJ C RDP;=;\ H JK:< : H.ql &:jT>š C C< P;HG\AIRNEY=;= H OQMP;P H HGO qFASA T @ < H M H P R :QJ RD=;HzUBHGE O ?
nn : ) ²DE¿¾F
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( V )
š ClRD= ysHGC P>\ RD=;H
Œ PsO qwASR O RDH² : ) D² E¿¾ F b
JK:L<”_u<< HG=;E H0:OQPH.<N—AS\ R /I< HGZT>E|E|RN:LRNHGPjHGU¡U ?@\@( CFOH$:V qtU;A) JK:L<on :LO: P ² H0 :?LOLH < OQOQP<zU :QJ M[n U M[:O ² R OLO < : R VO …iOLC PP;PU\
RD_ =>O H$y;C qFH EY= k ª b k ƒ;H b E _u=;T H’y RN<NHGOLU P EYUB=;HrCE P;\“?BAGJKV <YO E.H
RDC :LADTP A JK:L< Ct( ADHG:V U ) C
nO ² š : OLO P U :L( P :V ) n <N:L² P; \L: Z U;P H1/I<YH O P U :L:LP P RN=;HO OLP;\ qFH ¿<DZ V
H_ PA O E.y;H qFH HG'qlq k V ¢ OQbdA Pc U'qlCtE ASOQRNRDA'P =>H›RDys=;H ASH›R: yBH.—R O/IC HGP E|C HrRNU HGRDUH JK<N:L?@E.MCFRDH$CqtU;¦ A &T JK/;:LO = <”RDC :LAS:LHŽP P H›UBk ¢Cl?L˜•b H kH OQci< b
:QJ : U O R O n R O …iC P; : \JKJK::<< < HGOLE <:LP : ASR < T>E|:LRNM HG%U ( Ps:VO ) :LP n :Q² J : OLOLPP U
( V )
² V X C TsA{E y;C RDC A U
b _u=;H8R : R O q < HGE :LP ASR < T>E|RNC :P H.Ÿ E.CFH P E$ClHrA :LJ RN=;H8R šo:
JKUB:LHr< E O( ? :V M[) : UBn Hr: A ² OQ < : H b O ANAST M HrUR : yIH[RD=;HA OQM H O A
RD= O R
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