Recent hot results & semileptonic b hadron decays Jeroen van Tilburg On behalf of the LHCb collaboration Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 1 charged tracks with kaon or proton mass hypotheses, are n the J/ψφ checked and no resonant-like enhancements in these disange 5.5 < tributions are found. are shown 0 Bs yields on We measure the ratio ρ of the yield of the new state fixed to the X(5568) to the yield of the Bs0 meson in two kinematic D0 collaboration: nal events. ranges, 10 < pT (Bs0 ) < 15 GeV/c and 15 < pT (Bs0 ) < 30 [arXiv:1602.07588] 1 to Introduction l is1 due GeV/c, by repeating the m(Bs0 π) fits with free mass and ± D0 announced new state on 24 Feb: X(5568) → B π thus elimwidth parameters for the X(5568) signal. The results for s oration to arXiv a preprint [1] claiming submitted to arXiv a preprint [1] claim 2 Onsubmitted 25th February D0 collaboration micking the ρ are (9.12016, ± 2.6the ± 1.6)% and (8.2 ± 2.7 ± 1.6)%, respeca narrow structure, which they dub the X(5568), 3 observation with 5.1 significance of a narrow structure, which they dub the X(55 tively, with an average of (8.6 ± 1.9 ± 1.4)%. The sys Fraction B from X(5568): s Significance: 5.1σ+ ± 0 + + 0. ± + 0 , B 0 ! J/ ⇡ , ! J/ , J/ ! µ µ , ! K K The 4 Bin the decay sequence X(5568) ! B ⇡ , J/ ! µ µ , ! K K . s tematic uncertainties due to B reconstruction efficiency s s r the meas 2 +0.9 +0.9 orted to be m = cancel 5567.8±2.9 (stat) MeV/c 5 width, parameters of theout X(5568) areThe reported to be factor m = 5567.8±2.9 in thestate ratio. combined of the soft(stat) 1.9 (syst) MeV 1.9 (syst) ural 2 +5.0publicity from2 MeV/c .and This = was accompanied by pion kinematic acceptance, reconstruction efficiency, and 6 21.9 ± 6.4 (stat) . This was accompanied by publicity f ncertainties 2.5 (syst) MeV/c ous outlets. Within a picked few days paper from has selection is the obtained simulated samples . We eval7news Fermilab which wasefficiency up by various newsa outlets. Within a few days the paper with a spinless particle of because, mass equal to 5568 the decay of su This8 isaccrued because, ifevents confirmed, the decay of such background aofnumber of citations [2–9]. Thisais if confirmed, 00 2 N (B J/ a for ) =an exotic MeV/c decayinggun tofour Bss ! and charged pion.hadron The pion m prore pair for an exotic hadron containing di↵erently 9 state provides a smoking signature containing four di↵ere 0 efficiency increases with p (B ) from (26.1 ± 3.2)% to varying the from quarks T e key plot the D0 (or preprint is reproduced in plot from the D0 preprint skey 5582 ± 100 10 flavoured antiquarks). The is reproduce 0 0 the two pT (Bs0 ) ranges. The system(42.1 ± 6.5)% for he B mass 0 ata11sample in which 5582is±obtained 100 Bs ! J/ a data decays s result from sample in which 5582 ± 100 B ! J/ de s 0 ±Fig. 1. The atic uncertainty due to a potential difference of the soft 2 B π ) for 2 ofs125.303 m(J/ ) < 5.423 GeV/c window , as shown in are <reconstructed in a signal of 5.303 < m(J/ ) < 5.423 GeV/c , as show pion reconstruction efficiency in MC and data of ±5% is fference deFig. 2. accounted for in systematics. Within uncertainties, the by13 forcing production ratio ρ does not depend on pT (Bs0 ). anging the 120 90 120 Many citations: D0 Run II, 10.4 fb D0 Run II, 10.4 fb D0 Run A possible interpretation of the observed structure is II,a10.4 fb 1σ, e) usingarXiv:1603.02915, arXiv:1603.02708, arXiv:1603.02498, arXiv:1603.02249, 80 b) a) arXiv:1603.01131, arXiv:1603.00708, arXiv:1603.00290, 100arXiv:1603.01471, b) 100 four-quark state made arXiv:1602.08806, up of a diquark-antidiquark pair. the fourth-arXiv:1602.08916, arXiv:1602.08711, arXiv:1602.09041, 70 arXiv:1602.08642, arXiv:1602.08421, and counting 80 With the Bs0 π + produced in an S wave, its quantum order poly60 80 Hot result: new tetraquark from D0? -1 DATA Fit with background shape fixed Background -1 / 8 MeV/c 2 Moriond EW / 8 MeV/c 2 ts / 8 MeV/c 2 -1 Signal Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 2 Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 3 /ndf < 5 with Ds mass and PV constraD 1948 < m(Ds ) < 1990 MeV/c2 |m(Bs0 ) 0 5367 MeV/c2 | <+30 MeV/c2 B ! D (K⇡⇡)⇡ Ds and bachelor ⇡ + IPCHI2 > 16 Bs0 IPCHI2 < 16 and DIRA > 0.9999 kaons PIDK > 2 and[LHCb-CONF-2016-004] pions PIDK < 2 in preparation bachelor pion !isMuon D ⇤c hypo mass 2 / [2270, 2310] MeV/c2 or kaon PIDK-PI D hypo mass 2 / [1848, 1890] MeV/c2 or kaon PIDK DTF 2 /ndf < 5 with J/ mass and PV constra |m(Bs0 ) 0 5367 MeV/c2 | < +13 MeV/c2 Bs ! Ds (KK⇡)⇡ all tracks IPCHI2 > 2 and DTF ctau> 0.3 ps kaons ProbNNp <LHCb 0.6very and pT > 1 GeV preliminary DTF 2 Hot result: new tetraquark from LHCb? Bs0 ! Ds (KK⇡)⇡ + Very preliminary. Large Bs samples: Bs0 ! J/ (µ+ µ ) (KK) LHCb very preliminary 3.0 fb−1 205 206 207 208 209 3.0 fb−1 ⇤c hyp Dm o✏ine50k selection further, since most of the background70k will come from a real B D combinatorial pions from the primary interaction. + The main fit results, including the signal yields Bs0 !inJ/the(µsignal µ ) mass (KK)window d Tab. 3, are given in Tab. 4. Results are also given for the fits with the minimu requirement increased to 5 or 10 GeV/c. o✏ine selection further, since most 206 combinatorial pions from the prim 207 The main fit results, including 208 van Tab. 3, are given in Tab. 4. Resul 13/03/2016 Recent hot results & semileptonic B decays, Jeroen Tilburg 4 205 Moriond EW Hot result: new tetraquark from LHCb? [LHCb-CONF-2016-004] in preparation Add pion: Cross-check with B0π spectrum very preliminary Known B** states [PRL110 (2013) 151803] [JHEP 1504 (2015) 024] No peak6observed at 5568 Cross-section ratiosMeV. Cannot confirm D0 peak. 311 UL cross section ~1%ratio We aim to measure ratio the cross-section 312 ⌘ ⇢LHCb X (pp ! X(5568) + anything) ⇥ B (X(5568) ! Bs0 ⇡) , (pp ! Bs0 + anything) (3) where the in cross-sections are forQCD promptly produced particles within the LHCb acceptance. More details Moriond Recall that the corresponding quantity was determined by D0 to be ⇢ = (8.6±1.9±1.4)%, 313 314 Moriond EW 315 316 where Recent LHCb D0 X the D0 acceptance requires pT > 10 GeV/c. Since (pp ! Bs0 + anything) in the 13/03/2016 hot results has & semileptonic B decays, Jeroen van result Tilburg acceptance been previously measured [39], any for ⇢LHCb can be trivially X 5 Physics of semileptonic B decays Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 6 Physics of semileptonic B decays Vub, size of smallest CKM element Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 7 Physics of semileptonic B decays B oscillations (Δmd) and CP(T) violation in Vub, size of smallest CKM element mixing Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 8 Physics of semileptonic B decays B oscillations (Δmd) and CP(T) violation in Vub, size of smallest CKM element mixing Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg Are all leptons equal? τ = e, µ ? See talks this morning by Johannes Albrecht and Pablo Goldenzweig 13/03/2016 9 |Vub| the smallest CKM element VCKM Moriond EW 0 Vud = @ Vcd Vtd Vus Vcs Vts 1 Vub Vcb A Vtb Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 10 Ultimate test of CKM unitarity |Vub| sin2β Disagreement of |Vub| methods: |Vub |(incl.) = (4.41 ± 0.22) ⇥ 10 |Vub |(excl.) = (3.72 ± 0.16) ⇥ 10 Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 3 PDG 3 FNAL/MILC [PRD 92 (2015) 014024] 13/03/2016 11 LHCb’s |Vub| with Λb→pµν [Nature Physics 10 (2015) 1038] Large backgrounds for B → π µ ν ~20% of b-hadrons are Λb baryons Accurate lattice prediction on Λb→p form factors Uncertainty ~5% [PRD 92 (2015) 034503 (2015)] Result: |Vub | = 0.083 ± 0.004 ± 0.004 |Vcb | Signal Λb→Λc µ ν Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 12 Vub – Vcb plane LHCb result Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 13 Bd oscillations Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 14 New re sult Precision measurement of Δmd [LHCb-PAPER-2015-031], 3 fb-1 Time-dependent analysis of flavour-tagged semileptonic decays B 0 ! D(⇤) µ+ ⌫µ X Decay time reconstructed with k-factor method Background from charged B decays suppressed by MVA exploiting kinematic and isolation criteria Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 15 New re sult Precision measurement of Δmd [LHCb-PAPER-2015-031], 3 fb-1 md = (505.0 ± 2.1(stat) ± 1.0(syst)) ns Most precise single 1 N unmix (t) N mix (t) A(t) = unmix = cos( md t) N (t) + N mix (t) measurement! World average (without this measurement) md = (510 ± 3) ns 1 Recent lattice improvements [arXiv:1602.03560] allow stronger constraints on CKM Unitarity Triangle Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 16 CP violation in B mixing Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 17 CP violation in B mixing Different mixing probability for B!B and B!B asl = N (B!B) N (B!B) N (B!B) + N (B!B) So far, only observed in neutral kaon system (εK ≈ 0.2%) SM predictions for B systems effectively zero adsl = ( 4.1 ± 0.6) ⇥ 10 assl = (1.9 ± 0.3) ⇥ 10 Moriond EW 4 Lenz, Nierste [arXiv:1102.4274] 5 Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 18 Measurement of asl Untagged asymmetry: N (f, t) N (f¯, t) asl ⇣ A(t) = = AD + + AP ¯ 2 N (f, t) + N (f , t) Moriond EW asl ⌘ cos( mt) 2 Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 19 Measurement of asl Untagged asymmetry: N (f, t) N (f¯, t) asl ⇣ A(t) = = AD + + AP ¯ 2 N (f, t) + N (f , t) Detection asymmetry AD: • Muons, kaons, pions. • Large calibration samples. Moriond EW asl ⌘ cos( mt) 2 Production asymmetry AP: • For Bs , Δms large → time-integrated analysis. • For Bd , Δmd small → time-dependent analysis to disentangle asl and AP. Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 20 determined by varying the fractions by 10% to account for possib states. The e↵ect of a dependence of the k-factor with B 0 deca e↵ect on the di↵erence in the B momentumsldistributions betw evaluated using B + ! J/ K + decays, is negligible. Systematic e↵ects due to imperfect modelling of the decay ti Untagged asymmetry: the acceptance function and extending the fit region down to N (f, t) Nm (f¯d, t) asl ⇣ asl ⌘is taken into account. varying within its uncertainty [11] A(t) = = AD + + AP cos( mt) ¯ 0 2 binning are2 negligible. N (f, t) + Nin (f ,Bt) decay-time variations The B 0 –B 0 production asymmetries for the two centre-of-mass ( 0.66±0.26±0.22)% and APasymmetry (8 TeV) = Production AP:( 0.48±0.15±0.17)%, w Detection asymmetry A D: • second For Bs , Δm analysis. s large → time-integrated is statistical and the systematic. These asymmetries re • Muons, kaons, pions. • For Bd , Δmd small → time-dependent analysis to rangessamples. 2 < pT < 30 GeV/c and 2.0 < ⌘AP< • Large calibration disentangle asl and . 4.8, without correcting reconstruction efficiencies. The production asymmetry at 7 TeV is results [23] and with the production asymmetry at 8 TeV. The semileptonic B0 decays Bs0 ! Ds (! asymmetry K + K ⇡ in )µ+ ⌫ B ! D is(! K + ⇡ ⇡ )µ+ ⌫ Measurement of a assl = ( 0.06 ± 0.50 ± 0.36)% [PLB 728 (2014) 607] 1.0 fb−1 adsl = ( 0.02 ± 0.19 ± 0.30)% , [PRL 114 (2015) 041601] 3.0 fb which is the most precise measurement to date and compatible → Systematic dominated and earlier measurements [24]. by −1 detection asymmetries Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 713/03/2016 21 Current asl status Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 22 Current asl status D0 measured non-zero CPV in di-muon analysis (3.6σ) D0 [PRD89 (2014) 012002] Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 23 Current asl status Expected sensitivity with full data set D0 measured non-zero CPV in di-muon analysis (3.6σ) D0 [PRD89 (2014) 012002] Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 24 CPT violation in B mixing Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 25 CPT violation CPT symmetry implies equal mass & lifetime B0 and B0 mesons z= m m i i /2 /2 Mass eigenstates: |BL0 i 0 |BH i p 0 p = p 1 z|B i + q 1 + z|B̄ 0 i p p 0 = p 1 + z|B i q 1 z|B̄ 0 i CP violation: |q/p|≠1 CPT violation: z ≠ 0 Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 26 CPT and Lorentz symmetry CPT violation implies Lorentz invariance breaking. [Greenberg, PRL 89 (2002)] SME: EFT framework with CPT- & Lorentz-violating terms. [Kostelecky, PRD55 (1997) 6760] Experimental opportunity: measure SME parameters. µ z= m aµ i /2 SME coefficient for neutral mesons z depends on four-velocity µ = (1, ~ ) i.e. on momentum and on direction in space Δaµ Δaµ is real 4-vector vacuum expectation value à z mostly real Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 27 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 negligible uncertainties and arefrom usedthe to define the rotation thestamp, coordinate of The timekeeping is obtained LHC machine withfrom a time tLHC ,system in UTC st reference. For mesons flying along the beam axis, Re(z) LHCb to the constant frame 1of microseconds since January , 1970, 00:00:00 UTC. These coordinates and angles have can be expressed as, negligible uncertainties and are used to define the rotation from the coordinate system of LHCb to the constant of reference. For mesons flying along the beam axis, Re(z) µ aµ frame m µ zRe(z) = → can be expressed as, = aµ 2 m i m2/2 + /4 h m i ⇥ ⇤ a0 +2cos(µ ) aa aY sin(⌦t̂) + aX cos(⌦t̂) , (7) Re(z) ⇡ = µ Z + sin( ) 2 m m + /4 h ⇥ ⇤i X,Y,Z where a = aX,Y,Z and is the) angle of the beam with to ⇡ a0 + cos( =) 112.4 aZ + sin( aY sin(⌦ t̂) + aXaxis cos(⌦ t̂) respect , (7) m the rotational axis of the Earth. The time dependence is the result of the Earth’s rotation, giving sidereal sidereal tLHC = 0respect is found where a periodicity aX,Y,Z = with aX,Y,Z and frequency = 112.4 is⌦.theThe angle of thephase beamat axis with to to t̂ = (2.8126 hours. The B dependence mesons haveisan of about 5 theberotational axis±of0.0014) the Earth. The time theaverage result ofdeflection the Earth’s rotation, with respect to the beam axis. This means that the sidereal LHCb detector mostly giving a periodicity with sidereal frequency ⌦. The phase atistLHC = 0 sensitive is found to combination ak ⌘ The a0 +Bcos( ) ahave a0average 0.38 deflection aZ , lyingofparallel Z = an to the be t̂linear = (2.8126 ± 0.0014) hours. mesons about 5to the axis, thereaxis. is a This muchmeans weaker sensitivity to detector the orthogonal parameter, withbeam respect to while the beam that the LHCb is mostly sensitive = 0.38 aZ , coming smaller transverse the parallel B velocity. 0+ toa?the linear acombination ak from ⌘ athe a0 component 0.38 aZ , of lying to 0 + cos( ) aZ = The ak isand a? isweaker negligible. the correlation beam axis, between while there a much sensitivity to the orthogonal parameter, Unbinned fits are from applied the decay time distributions decay a? = 0.38 alikelihood aZ , coming the to smaller transverse component of for theboth B velocity. 0+ channels. To obtain the SME parameters, the sidereal variation of Re(z) is taken into The correlation between ak and a? is negligible. account by including thefits LHC andtothe three-momentum of the reconstructed B Unbinned likelihood are time applied the decay time distributions for both decay candidate fits. In caseparameters, of the Bs0 meson, the fits variation are performed to theisfull angular channels. inTothe obtain thethe SME the sidereal of Re(z) taken into distribution. account by including the LHC time and the three-momentum of the reconstructed B 0 In the invariant mass distributions of the B candidates, the background mostly candidate in the fits. In the case of the Bs0 meson,(s)the fits are performed to the fullis angular combinatorial. both decay channels, this background is statistically subtracted using distribution. For Recent 13/03/2016 Moriond EW & semileptonic B decays, Jeroen van Tilburg 28 the sPlot technique [15] hot by results assigning a weight to 0 each event depending on the mass of Sidereal dependence ~ ) of the neutral meson as [13] =negligible (1,timekeeping uncertainties and arefrom usedthe to define the rotation thestamp, coordinate of The is obtained LHC machine withfrom a time tLHC ,system in UTC 9 Sidereal dependence st reference. For mesons flying along the beam axis, Re(z) LHCb to the constant frame 1µof microseconds since January , 1970, 00:00:00 UTC. These coordinates and angles have aµ be expressed as, 1 can negligible uncertainties z = and are used to ,define the rotation from the coordinate (6) system of m +ofireference. /2 2 LHCb to the constant For mesons flying along the beam axis, Re(z) µ aµ frame m µ zRe(z) = → 3 can be expressed as, = aµ m i m2/2 g Lorentz invariance. The 2SME + /4 parameter aµ describes the di↵erence h m i ⇥ ⇤ pling constants ⇡of the valence quarks in the neutral meson [13]. Therefore, a0 +2cos(µ ) aa aY sin(⌦t̂) + aX cos(⌦t̂) , (7) Re(z) = µ Z + sin( ) 2 m ons can have di↵erent of aµ . Since aµ is real [14], it follows that m values + /4 h ⇥ of magnitude smaller than ⇤i Im(z) m. For B mesons, Im(z) is two orders X,Y,Z where a = aX,Y,Z and =) 112.4 is the of the beam with to ⇡ small a0 + cos(Angle aZB+meson sin( ) angle aY sin(⌦ t̂) + aXaxis cos(⌦ t̂) respect , (7) of with Earth High sensitivity from m Sidereal frequency bethe ignored in the measurements of time aaxis. . The average µdependence rotational B mesons mostly rotational axisboost. of the Earth. The is theboost resultof of B themesons Earth’s rotation, Δm and B meson along beam: cos(χ)≈−0.38 e of LHCb is h =i ⇡with As follows from Eq. 6,angle this large boost results a periodicity sidereal frequency sidereal tLHC =in0respect is found 4 giving where aX,Y,Z a20. = 112.4 is⌦.theThe of thephase beamat axis with to X,Y,Z and y to at̂µ=[7]. (2.8126 hours. The B dependence mesons haveisan of about 5 5 to theberotational axis±of0.0014) the Earth. The time theaverage result ofdeflection the Earth’s rotation, respect to the beam axis. This means that the sidereal LHCb detector mostly 6 with giving a periodicity with sidereal frequency ⌦. The phase atistLHC = 0 sensitive is found to combination ak ⌘ The a0 +Bcos( ) ahave a0average 0.38 deflection aZ , lyingofparallel Z = an 7 to the be t̂linear = (2.8126 ± 0.0014) hours. mesons about 5to 3 the axis, thereaxis. is a This muchmeans weaker sensitivity to detector the orthogonal parameter, 8 withbeam respect to while the beam that the LHCb is mostly sensitive = 0.38 aZ , coming smaller transverse the parallel B velocity. 0+ 9 toa?the linear acombination ak from ⌘ athe a0 component 0.38 aZ , of lying to 0 + cos( ) aZ = The ak isand a? isweaker negligible. 0 the correlation beam axis, between while there a much sensitivity to the orthogonal parameter, Unbinned fits are from applied the decay time distributions decay 1 a? = 0.38 alikelihood aZ , coming the to smaller transverse component of for theboth B velocity. 0+ channels. To obtain the SME parameters, the sidereal variation of Re(z) is taken into 2 The correlation between ak and a? is negligible. account by including thefits LHC andtothe three-momentum of the reconstructed B 3 Unbinned likelihood are time applied the decay time distributions for both decay candidate fits. In caseparameters, of the Bs0 meson, the fits variation are performed to theisfull angular 4 channels. inTothe obtain thethe SME the sidereal of Re(z) taken into distribution. 5 account by including the LHC time and the three-momentum of the reconstructed B 0 In the invariant mass distributions of the B candidates, the background mostly 6 candidate in the fits. In the case of the Bs0 meson,(s)the fits are performed to the fullis angular combinatorial. both decay channels, this background is statistically subtracted using 7 distribution. For Recent 13/03/2016 Moriond EW & semileptonic B decays, Jeroen van Tilburg 29 the sPlot technique [15] hot by results assigning a weight to 0 each event depending on the mass of 0 ~ ) of the neutral meson as [13] =negligible (1,timekeeping uncertainties and arefrom usedthe to define the rotation thestamp, coordinate of The is obtained LHC machine withfrom a time tLHC ,system in UTC 9 Sidereal dependence st reference. For mesons flying along the beam axis, Re(z) LHCb to the constant frame 1µof microseconds since January , 1970, 00:00:00 UTC. These coordinates and angles have aµ be expressed as, 1 can negligible uncertainties z = and are used to ,define the rotation from the coordinate (6) system of m +ofireference. /2 2 LHCb to the constant For mesons flying along the beam axis, Re(z) µ aµ frame m µ zRe(z) = → 3 can be expressed as, = aµ m i m2/2 g Lorentz invariance. The 2SME + /4 parameter aµ describes the di↵erence h m i ⇥ ⇤ pling constants ⇡of the valence quarks in the neutral meson [13]. Therefore, a0 +2cos(µ ) aa aY sin(⌦t̂) + aX cos(⌦t̂) , (7) Re(z) = µ Z + sin( ) 2 m ons can have di↵erent of aµ . Since aµ is real [14], it follows that m values + /4 h ⇥ of magnitude smaller than ⇤i Im(z) m. For B mesons, Im(z) is two orders X,Y,Z where a = aX,Y,Z and =) 112.4 is the of the beam with to ⇡ small a0 + cos(Angle aZB+meson sin( ) angle aY sin(⌦ t̂) + aXaxis cos(⌦ t̂) respect , (7) of with Earth High sensitivity from m Sidereal frequency bethe ignored in the measurements of time aaxis. . The average µdependence rotational B mesons mostly rotational axisboost. of the Earth. The is theboost resultof of B themesons Earth’s rotation, Δm and B meson along beam: cos(χ)≈−0.38 e of LHCb is h =i ⇡with As follows from Eq. 6,angle this large boost results a periodicity sidereal frequency sidereal tLHC =in0respect is found 4 giving where aX,Y,Z a20. = 112.4 is⌦.theThe of thephase beamat axis with to X,Y,Z and y to at̂µ=[7]. (2.8126 hours. The B dependence mesons haveisan of about 5 5 to theberotational axis±of0.0014) the Earth. The time theaverage result ofdeflection the Earth’s rotation, Hadronic modes larger respect to decay the beam axis. give This means that the sidereal LHCb detector mostly 6 with giving a periodicity with sidereal frequency ⌦. The phase atistLHC = 0 sensitive is found sensitivity than semileptonic to combination ak ⌘ The a0 +Bcos( ) ahave a0average 0.38 deflection aZ , lyingofparallel Z = an 7 to the be t̂linear = (2.8126 ± 0.0014) hours. mesons about 5to 3 the axis, thereaxis. is a This muchmeans weaker sensitivity to detector the orthogonal parameter, 8 withbeam respect to while the beam that the LHCb is mostly sensitive 0 0 = 0.38 acombination aZJ/ , coming from smaller transverse the parallel B velocity. 0 +! 9 toa?the linearB ak S ⌘ athe a0 component 0.38 aZ , of lying to K 0 + cos( ) aZ = The ak isand a? isweaker negligible. 0 the correlation beam axis, between while there a much sensitivity to the orthogonal parameter, 0 + Unbinned fits are applied the decay time distributions decay K from K the tosmaller 1 a? = 0.38 B alikelihood , coming transverse component of for theboth B velocity. 0s+!aZJ/ channels. To obtain the SME parameters, the sidereal variation of Re(z) is taken into 2 The correlation between ak and a? is negligible. account by including thefits LHC andtothe three-momentum of the reconstructed B 3 Unbinned likelihood are time applied the decay time distributions for both decay candidate fits. In caseparameters, of the Bs0 meson, the fits variation are performed to theisfull angular 4 channels. inTothe obtain thethe SME the sidereal of Re(z) taken into distribution. 5 account by including the LHC time and the three-momentum of the reconstructed B 0 In the invariant mass distributions of the B candidates, the background mostly 6 candidate in the fits. In the case of the Bs0 meson,(s)the fits are performed to the fullis angular combinatorial. both decay channels, this background is statistically subtracted using 7 distribution. For Recent 13/03/2016 Moriond EW & semileptonic B decays, Jeroen van Tilburg 30 the sPlot technique [15] hot by results assigning a weight to 0 each event depending on the mass of 0 ~ ) of the neutral meson as [13] =negligible (1,timekeeping uncertainties and arefrom usedthe to define the rotation thestamp, coordinate of The is obtained LHC machine withfrom a time tLHC ,system in UTC 9 Sidereal dependence st reference. For mesons flying along the beam axis, Re(z) LHCb to the constant frame 1µof microseconds since January , 1970, 00:00:00 UTC. These coordinates and angles have aµ be expressed as, 1 can negligible uncertainties z = and are used to ,define the rotation from the coordinate (6) system of [LHC m +ofireference. /2 b-PAPERe(z) 2 LHCb to the constant For mesons flying along the beam axis, µ R-2016 aµ frame N m e -005] w µ r e z = → s u 3 can be expressed l t Re(z)m= as, a (p µ i m2/2 g Lorentz invariance. The 2SME + /4 parameter aµ describes the di↵erencereliminary) h m i ⇥ ⇤ pling constants ⇡of the valence quarks in the neutral meson [13]. Therefore, a0 +2cos(µ ) aa aY sin(⌦t̂) + aX cos(⌦t̂) , (7) Re(z) = µ Z + sin( ) 2 m ons can have di↵erent of aµ . Since aµ is real [14], it follows that m values + /4 h ⇥ of magnitude smaller than ⇤i Im(z) m. For B mesons, Im(z) is two orders X,Y,Z where a = aX,Y,Z and =) 112.4 is the of the beam with to ⇡ small a0 + cos(Angle aZB+meson sin( ) angle aY sin(⌦ t̂) + aXaxis cos(⌦ t̂) respect , (7) of with Earth High sensitivity from m Sidereal frequency bethe ignored in the measurements of time aaxis. . The average µdependence rotational B mesons mostly rotational axisboost. of the Earth. The is theboost resultof of B themesons Earth’s rotation, Δm and B meson along beam: cos(χ)≈−0.38 e of LHCb is h =i ⇡with As follows from Eq. 6,angle this large boost results a periodicity sidereal frequency sidereal tLHC =in0respect is found 4 giving where aX,Y,Z a20. = 112.4 is⌦.theThe of thephase beamat axis with to X,Y,Z and y to at̂µ=[7]. (2.8126 hours. The B dependence mesons have average of about 5 5 to theberotational axis±of0.0014) the Earth. The time isan the result ofdeflection theofEarth’s rotation, Re(z) as function sidereal phase Hadronic modes larger respect to decay the beam axis. give This means that the sidereal LHCb detector mostly 6 with giving a periodicity with sidereal frequency ⌦. The phase atistLHC = 0 sensitive is found sensitivity than semileptonic to combination ak ⌘ The a0 +Bcos( ) ahave a0average 0.38 deflection aZ , lyingofparallel Z = an 7 to the be t̂linear = (2.8126 ± 0.0014) hours. mesons about 5to preliminary 3 the axis, thereaxis. is a This muchmeans weaker sensitivity to detector the orthogonal parameter, 8 withbeam respect to while the beam that the LHCb is mostly sensitive 0 0 = 0.38 acombination aZJ/ , coming from smaller transverse the parallel B velocity. 0 +! 9 toa?the linearB ak S ⌘ athe a0 component 0.38 aZ , of lying to K 0 + cos( ) aZ = The ak isand a? isweaker negligible. 0 the correlation beam axis, between while there a much sensitivity to the orthogonal parameter, 0 + Unbinned fits are applied the decay time distributions decay K from K the tosmaller 1 a? = 0.38 B alikelihood , coming transverse component of for theboth B velocity. 0s+!aZJ/ channels. To obtain the SME parameters, the sidereal variation of Re(z) is taken into 2 The correlation between ak and a? is negligible. account by including thefits LHC andtothe three-momentum of the reconstructed B 3 Unbinned likelihood are time applied the decay time distributions for both decay candidate fits. In caseparameters, of the Bs0 meson, the fits variation are performed to theisfull angular 4 channels. inTothe obtain thethe SME the sidereal of Re(z) taken into distribution. 5 account by including the LHC time and the three-momentum of the reconstructed B 0 In the invariant mass distributions of the B candidates, the background mostly 6 candidate in the fits. In the case of the Bs0 meson,(s)the fits are performed to the fullis angular combinatorial. both decay channels, this background is statistically subtracted using 7 distribution. For Recent 13/03/2016 Moriond EW & semileptonic B decays, Jeroen van Tilburg 31 the sPlot technique [15] hot by results assigning a weight to 0 each event depending on the mass of 0 10 X Conclusion 0.4 BB0→J / ψ K 0 Re( LHCb⇥ 10 15 GeV , aY = (+0.44S ± 1.26 (stat) ± 0.29 (syst)) 0.2 32 The CP T -violating and Lorentz-violating parameters aµ in the B 0 and B 0 systems in 337 which is consistent with no CP T and no Lorentz violation. In addition, the speriodogram 33 the SME have 0been measured using LHCb data corresponding to an integrated luminosity 338 method is used to generalize the search for time-dependent, Lorentz-violating signals by 34 of 3 fb 1 . A-0.2 maximum-likelihood fit is performed on the decay rate distributions of B 0 0 [LHCb 339 scanning a broad range of frequencies. For B , the0 maximum peak is found at a frequency -PAPER 35 !J/ KS0 and Bs0 ! J/ , respectively. For the B system, taking into account the boost -2016N 1 e 005] 340 of 1.5507 solar-day and has a false-alarm probability of 0.57. From a total of w about r e 0 -0.4 s u lt (preli 36 (direction ind absolute space and size) of the B mesons results in minary 341 5’200 sampled frequencies there are 1’559 frequencies with a larger power than the one at 0 + − ) 0.4 0 0 0 4 8 12 16 20 24 0 B B s →Jthe 15 /ψ K K0.82 342 the siderealafrequency. data for B(stat) is compatible with no time-dependence. 0.38 Hence, aB ( 0.10 ± ± 0.54 (syst)) ⇥ 10 GeV , 0 Z = 0.2 B0 of Ba0 Bµ 0 presented here is the world’s best. Under13assumption of the 343 The measurement O(103) more precise 0.38 a0 + aZ = ( 0.20 ± 0.22 (stat) ± 0.04 (syst)) ⇥ 10 GeV , 1 344 Standard Model 0.0027 ps [12], it is an improvement in precision of d = 0 prediction than BaBar result B0 aX with = (+1.97 ± 1.30 (stat) ± 0.29best (syst)) 10 15 GeV , using the 345 three orders of magnitude respect to the previous of ⇥ BaBar. When [PRL 100 (2008) 131802] 1 B0 15 346 one-sigma -0.2 experimentalauncertainty on of 0.007 ps , the improvement is still more d GeV , Y = (+0.44 ± 1.26 (stat) ± 0.29 (syst)) ⇥ 10 347 than two orders -0.4 of magnitude. B0 37 is consistent with no CP T and andLorentz-violating no Lorentz violation. In addition, thethe periodogram 348 which Similarly, the CP T -violating parameters aµ s for Bs0 system 0 4 8 12 16 20 24 38 is used to been generalize the search 349 method in the SME measured to be for time-dependent, Lorentz-violating signals by shave t is[hfound ] at a frequency 0 39 scanning a broad range of frequencies. For B , the maximum peak sid 0 0 B Bs 1 a0 s 0.38 aZhas = a( false-alarm 0.89 ± 1.41 probability (stat) ± 0.36of(syst)) 10 14aGeV 40 of 1.5507 solar-day and 0.57. ⇥From total, of about 0 B0 Bs0 from ure 1: Values of Re(z) fits in 0.39 bins of sidereal for (top) the 41 5’200 sampled frequencies 1’559 frequencies a larger one at O(10) more precise 0.38 a0 s obtained + aZthere = (are0.47 ± (stat) ±with 0.08phase (syst)) ⇥power 10 12 than GeVB,thesample 0 0 the B Projection of Re(z) using the aµ results the full fits arethan recent D0 result 42(bottom) the sidereal frequency. with nofrom time-dependence. s sample. Hence, Bs0 0 the data for B is compatible 14 a = (+1.01 ± 2.08 (stat) ± 0.71 (syst)) ⇥ 10 GeV , B erimposed, using an average 43 The measurement of B aXµmomentum. presented here is the world’s best. Under assumption of the [PRL 115 (2015) 161601] 0 1 Bs 14 44 Standard Model prediction = 0.0027 ps [12], it is an improvement in precision of aY =d( 3.83 ± 2.09 (stat) ± 0.71 (syst)) ⇥ 10 GeV , 45 three orders of magnitude with respect to 0the previous best of BaBar. When using the 1 s mplex CP T -violating parameter z in the found toimprovement be 46 experimental uncertainty on Bas0B of 0.007 , the is invariance, still more 350 one-sigma making this the first measurement of to date.isps When assuming Lorentz µ dsystem (no assumption on Lorentz breaking) 0 s 47 twoT orders of magnitude. 351 than the CP -violating parameter z in the Bs system is found to be Re(z) = 0.022 ± 0 Bs0 s Re(z ) = and0.022 0.033 (stat) 0.003 (syst) , aB 352 0.033 (stat) ±the 0.003 Im(z) = 0.004 ±± 0.011 (stat) ± 0.002 is theFirst measurement 48 Similarly, CP (syst) T -violating and±Lorentz-violating parameters for thewhich Bs0 system µ (syst), 0 0 0 353 in first ofBthis parameter the Bs system. For Bs , the periodogram method 49 themeasurement SME have been to ± bein s measured Im(z ) = 0.004 0.011 (stat) ± 0.002 (syst) . of z in Bs system 354 has been used as well. The maximum peak is found at a frequency of 14 1.3301 solar-day 1 0 0 Bs Bs a0 0.38probability aZ = ( 0.89 ± 1.41 (stat) ± 0.36 (syst))5’200 ⇥ 10 sampled GeV ,frequencies 355 and has a false-alarm ofspecific 0.06. From a total of about Since the SME fits consider only one frequency, i.e. the sidereal frequency, a wide 0 0 Bs Bs with a larger power than the one at the 12 356 there are 0.38 3’386afrequencies sidereal frequency. + a = ( 0.47 ± 0.39 (stat) ± 0.08 (syst)) ⇥ 10 GeV , 0 Zby means of the periodogram method. The periodogram is ge of frequencies is scanned 357 Hence, the data for Bs0 isBcompatible with no time-dependence. 0 14 s ained by a discrete Fourier transform of the data, where the time domain a = (+1.01 ± ± 0.71 (syst)) ⇥ 10 GeVis, given by X 358 Already in the corresponding sin 2 2.08 and (stat) s analyses, the systematic uncertainties are 0 LHC time the Lomb-Scargle periodogram [19]theisTilburg used. angles. The 13/03/2016 Moriond EWstamps. In this Recent hot results & semileptonic B decays, Jeroen Banalysis, 359 small due to the dependence decay-time and, ⇥ for10B0014, van a s =on ( the 3.83charge, ± 2.09 the (stat) ± 0.71 (syst)) GeVdecay , 31 0 Results B system (SME): B system (SME): B system: Consistent with CPT and Lorentz symmetry 32 Periodogram test [LHCb - PAPER -2016New re 005] sult (pr elimina ry) Scan large frequency range (not only sidereal): preliminary à No significant peaks found at p-values of 0.57 and 0.06 Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 33 Conclusions No confirmation of X(5568) (LHCb-CONF-2016-004 preliminary) Semileptonic decays challenging, but interesting results: Bd oscillations, CP violation, |Vub/Vcb|. [LHCb-PAPER-2015-031] [PLB 728 (2014) 607] [NP 10 (2015) 1038] [PRL 114 (2015) 041601] New results on CPT & Lorentz violation Improved limits SME parameters in Bd system First measurements in Bs system ( aµ and z) Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg [LHCb-PAPER-2016-005] 13/03/2016 34 Backup Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 35 More Bsπ spectra Bs signal region Sideband region Moriond EW [LHCb-CONF-2016-004] in preparation Bs signal region pT(Bs) >10 GeV Sideband region pT(Bs) >10 GeV Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 36 Systematic uncertainties Table 3: Systematic uncertainties on aµ for Contributions marked with – are negligble. B0 B 0 mixing Source Mass correlation Wrong PV assignment Production asymmetry External input Cf , Sf Decay width di↵erence Neutral kaon asymmetry Quadratic sum Bs0 mixing Source Mass correlation Peaking background Decay time acceptance Angular acceptance Quadratic sum 152 153 154 155 mixing and on aµ and z for ak a? aX,Y 15 [⇥10 GeV] – – 0.04 – 1 – 0.28 1 0.05 0.46 4 0.28 0.07 – – – 1 – 0.54 4 0.29 ak a? aX,Y 14 [⇥10 GeV] 0.10 3 0.24 0.14 3 0.15 0.30 7 0.65 – – – 0.36 8 0.71 [LHCb - PAPER -2016Nmixing. ew resu 005] lt (preli minary ) Bs0 Largest contribution: Fixed Cf & Sf due to correlation with z. External input not affected by LIV, due to low boost. Only works for SME approach. Re(z) Im(z) 0.001 0.003 – 0.002 0.003 0.002 – 0.001 0.001 0.002 Small à No systematic effects expected from the correlation between with the mass and decay and time and from the accuracy on the length sidereal boost dependence. scale and momentum scale of the detector. The components of the SME parameter aµ for B 0 mixing, obtained from the fit to the sample of selected B 0 !J/ KS0 candidates, are Moriond EW 0 aB = ( 0.10 0.82 (stat) ± 0.54 (syst)) ⇥ 10 15Jeroen GeV , van Tilburg hot±results & semileptonic B decays, k Recent 13/03/2016 37 LHCb’s |Vub| with Λb→pµν [Nature Physics 10 (2015) 1038] Backgrounds too large for inclusive decays and for exclusive B→πµν ~20% of b-hadrons are Λb baryons Use BF(Λc→pKπ) for normalisation: 5% uncertainty Belle measurement [PRL 113 (2014) 04002] How it was done Accurate lattice prediction onΛb→p form factors: Uncertainty ~5% [Phys. Rev. D 92, 034503 (2015)] Analysis strategy: Reduced low q2 dependence ● The LQCD calculation is most accurate at high q2 ● A cut at 15 GeV2 (7 GeV2) is good for Λb→pµυ (Λb→Λcµυ) arXiv:1503.01421 Normalization & main background Λb→Λcµν Corrected mass from flight direction (+uncertainty) Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 38 Are all leptons equal? Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 39 Semitauonic branching ratio (⇤) B(B ! D ⌧ ⌫) (⇤) R(D ) = B(B ! D(⇤) µ⌫) • Branching ratio to tau leptons sensitive to charged Higgs • Large, anomalous BR in B → D(*) τ ν at BaBar. • 3.2σ tension with SM [PRL 115 (2015) 111803] • LHCb: • Start with cleaner D* and τ→µνν mode. • Fit to m2miss and Eµ in q2 bins. Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 40 ch systematic uncertainty thatand is by comparing to simulated by introduces binning thea control samples di↵erently ples di↵erently by and comparing to simulated entification. Theand signal normalization form factors alter the expected ratio * respect to the world averages are rmalization alter the expected acceptances,form and factors 1 variations in these withratio a systematic uncertainty. Finally, the uncertainty in the current world nsassign in these with respect to the world averages are lue B(⌧ ! ⌫ µ ⌫⌧ ) contributes a small world normalization uncertainty. ty. of Finally, theµuncertainty in the current LHCb measurement confirms BaBar result. lusion,a the ratio of branchinguncertainty. fractions R(D⇤ ) = B(B 0 ! D⇤+ ⌧ ⌫ ⌧ )/B(B 0 ! butes small normalization 0 115 measured (2015) 111803] value is measured to⇤ )be 0.3360 ! ± 0.027 ± 0.030 The fractions R(D = B(B D⇤+ ⌧ (stat) ⌫ ⌧ )/B(B ! (syst). [PRL agreement previous BaBar and Belle [3, 5] and is 2.1 .027 (stat) ±with 0.030 (syst). measurements The measuredatvalue Increases with eviations greater thantension the expectation asurements at BaBar andSM Belle [3,SM 5] andofis0.252 2.1 ± 0.003 [8]. This is the first ent of any decay of a ± b hadron into a final expectation of 0.252 0.003 [8]. This is thestate firstwith tau leptons at a hadron ndinto the atechniques in this open the possibility to study a n final statedemonstrated with tau leptons at aletter hadron ge b hadron modes with multiple edofinsimilar this letter open decay the possibility to study a missing particles in hadron n the future. modes with multiple missing particles in hadron ress our gratitude to our colleagues in the CERN accelerator departments for eagues in the CERN accelerator departments for LHCb 8 Difference with 8SM 3.9σ (HFAG) BR of B→D τν at LHCb Moriond EW Recent hot results & semileptonic B decays, Jeroen van Tilburg 13/03/2016 41