Direct detection of neutralino dark matter in the NMSSM David G. Cerdeño

advertisement
Direct detection of neutralino dark matter in the
NMSSM
David G. Cerdeño
In collaboration with: C. Hugonie, D. López-Fogliani, C. Muñoz, A.M. Teixeira
JHEP 12 (2004) 048
9.2.2005 Edinburgh
- p. 1/28
Neutralino dark matter
Neutralino dark matter
The lightest Neutralino, a particle predicted by supersymmetric extensions of the
Standard Model, is a well motivated candidate for dark matter: it is a WIMP and can be
stable in theories with R-parity.
The Next-to-MSSM
Neutralino dark matter
in the NMSSM
Results
If Neutralinos constitute the bulk of dark matter they would cluster with ordinary stars in
galactic halos, raising the hope of their direct detection through their elastic scattering with
nuclei inside a detector.
Summary
The recoiling energy can be detected by
Ionization in scintillators (measured by emission of
photons)
Scattered
WIMP
Ionization on solids
Recoiling
nucleus
Increase in the temperature (measured by the
released phonons)
Target crystal
9.2.2005 Edinburgh
- p. 2/28
Neutralino dark matter
Neutralino dark matter
The lightest Neutralino, a particle predicted by supersymmetric extensions of the
Standard Model, is a well motivated candidate for dark matter: it is a WIMP and can be
stable in theories with R-parity.
The Next-to-MSSM
Neutralino dark matter
in the NMSSM
Results
If Neutralinos constitute the bulk of dark matter they would cluster with ordinary stars in
galactic halos, raising the hope of their direct detection through their elastic scattering with
nuclei inside a detector.
Sensitivity for WIMP detection (Spin-independent cross section)
Summary
Many experiments around the world
Cresst, Heidelberg-Moscow, IGEX,
UKDMC(NAI), DAMA, CDMS,
ZEPLIN, EDELWEISS, ...
9.2.2005 Edinburgh
- p. 2/28
Neutralino dark matter
Neutralino dark matter
The lightest Neutralino, a particle predicted by supersymmetric extensions of the
Standard Model, is a well motivated candidate for dark matter: it is a WIMP and can be
stable in theories with R-parity.
The Next-to-MSSM
Neutralino dark matter
in the NMSSM
Results
If Neutralinos constitute the bulk of dark matter they would cluster with ordinary stars in
galactic halos, raising the hope of their direct detection through their elastic scattering with
nuclei inside a detector.
Sensitivity for WIMP detection (Spin-independent cross section)
Summary
Many experiments around the world
Cresst, Heidelberg-Moscow, IGEX,
UKDMC(NAI), DAMA, CDMS,
ZEPLIN, EDELWEISS, ...
With increasing sensitivities and
projected improvements
GENIUS, CDMSII, GEDEON, ...
9.2.2005 Edinburgh
- p. 2/28
The Next-to-MSSM
9.2.2005 Edinburgh
- p. 3/28
Motivation
The Next-to-Minimal Supersymmetric Standard Model constitutes a very well motivated
extension of the MSSM.
Offers an elegant solution to the -problem of the MSSM
Neutralino dark matter
The -term in the MSSM, present in the superpotential faces a naturaleness
problem:
, minimisation of the scalar potential
is
Whereas a natural value for
implies
Neutralino dark matter
in the NMSSM
NMSSM
Minimisation of Higgs
potential
Higgs Sector
The neutralino in the
The Next-to-MSSM
Motivation
Overview of the NMSSM
Results
Summary
'
&
#$
%% "
!
9.2.2005 Edinburgh
In the NMSSM
- p. 4/28
Motivation
The Next-to-Minimal Supersymmetric Standard Model constitutes a very well motivated
extension of the MSSM.
Less severe “Higgs-little fine tuning” problem of the MSSM
Offers an elegant solution to the -problem of the MSSM
Neutralino dark matter
The Next-to-MSSM
Motivation
Overview of the NMSSM
Minimisation of Higgs
potential
Higgs Sector
The neutralino in the
In the MSSM
3
210
/.
NMSSM
,+
*)(
Neutralino dark matter
in the NMSSM
and so far it has not been detected.
Results
Summary
9.2.2005 Edinburgh
This problem is less severe in the NMSSM, since the upper bound for the Higgs
mass is larger than in the MSSM.
- p. 4/28
Motivation
The Next-to-Minimal Supersymmetric Standard Model constitutes a very well motivated
extension of the MSSM.
Less severe “Higgs-little fine tuning” problem of the MSSM
Rich phenomenology
Offers an elegant solution to the -problem of the MSSM
Neutralino dark matter
The Next-to-MSSM
Motivation
Overview of the NMSSM
Minimisation of Higgs
potential
Higgs Sector
The neutralino in the
NMSSM
Neutralino dark matter
in the NMSSM
Results
Summary
9.2.2005 Edinburgh
Very light Higgses and neutralinos are experimentally viable.
Although the Higgs phenomenology has been thoroughly studied, there are only a
few works on the implications for neutralino dark matter.
Flores, Olive, Thomas ’91
Bednyakov, Klapdor-Kleingrothaus ’98
- p. 4/28
Motivation
The Next-to-Minimal Supersymmetric Standard Model constitutes a very well motivated
extension of the MSSM.
Less severe “Higgs-little fine tuning” problem of the MSSM
Rich phenomenology
Offers an elegant solution to the -problem of the MSSM
Neutralino dark matter
The Next-to-MSSM
Motivation
Overview of the NMSSM
Minimisation of Higgs
potential
Higgs Sector
The neutralino in the
NMSSM
Neutralino dark matter
in the NMSSM
Results
Very light Higgses and neutralinos are experimentally viable.
Although the Higgs phenomenology has been thoroughly studied, there are only a
few works on the implications for neutralino dark matter.
Summary
Flores, Olive, Thomas ’91
Bednyakov, Klapdor-Kleingrothaus ’98
Thorough analysis of the NMSSM parameter space, calculating the
particle spectrum and the experimental constraints from LEP.
9.2.2005 Edinburgh
Implications for Neutralino-nucleon cross section.
- p. 4/28
Overview of the NMSSM
In the NMSSM the field structure of the MSSM is modified by the addition of a new
superfield , which is a singlet under the SM gauge group:
4
K
K
J
F E
D
7
J
I> @ L
=<
M1 5
>L
J
I
>
-
<@
K
@K
8
6
7
67
56
Minimisation of Higgs
potential
Higgs Sector
The neutralino in the
67
I1
H1
F E
G
C
A
BA?@
4
>
;1 :
D
9
The Next-to-MSSM
Motivation
Overview of the NMSSM
=<
Neutralino dark matter
This leads to the following new terms in the superpotential
and in the Lagrangian
[
8
Z
F
YXW
V N
P
( ij
8
TN
8
QU
8
SRQ
g h
Results
O N
P
\
-
Neutralino dark matter
in the NMSSM
NMSSM
\
op?
o q
8
Z
[
m k
n
8
l k
h
8
F g
Ygf
e( d % `b
c
b
F
]
a`^_
-
Summary
9.2.2005 Edinburgh
- p. 5/28
Minimisation of Higgs potential
After Electroweak Symmetry Breaking takes place the Higgs field takes non-vanishing
VEVs:
/
}
( ef
, in order to
}
'
8
&
One has to ensure vanishing VEVs for charged Higgs fields,
avoid dangerous Charge and Colour-breaking minima.
t
u
Minimisation of Higgs
potential
Higgs Sector
The neutralino in the
'
&
v
s
'
!
r
&
&
+
'
!
r
The Next-to-MSSM
Motivation
Overview of the NMSSM
+
'
&
Neutralino dark matter
NMSSM
r
}
}
r
8
F
r
r
( ef

}
}
}
} |
~
'
{
dy
w&
x#
`b
a`^_
z Results
z The following potential is obtained
8
Neutralino dark matter
in the NMSSM
op?
o q
8
\
Z
s
m k
[
8
r
r
s
l‚k
r
r
s
F
F
[
8
h
h
-
ƒ
}
s }
[ }
8}
}
r
}
}
r
8}
}
r
}
s }
8}
}
r
}
s }
€

} |
}

8}
8
( ij
}
s }
Summary
9.2.2005 Edinburgh
- p. 6/28
v
Minimisation of Higgs potential
,
The Next-to-MSSM
Motivation
Overview of the NMSSM
Minimisation of Higgs
potential
Higgs Sector
The neutralino in the
I<
>
„…
i.e., no explicit CP violation in the scalar sector.
†
,
m k
…
lk
s
[
, ,
Neutralino dark matter
†
Conventions:
Ensuring the minimum of the tree-level potential with respect to the phases of the VEVs
excludes some combinations of signs of the above parameters.
Minima are possible only for the following four combinations:
m k
F
I
BAC @
l‰k
I
BAC @
s
BAC @
Iˆ
[
‡
Neutralino dark matter
in the NMSSM
/
NMSSM
s }
8
[ }
}
s
lk
}
}Š
l k
s }
8
}
}
[ }
r
s
l k
l k
}
}Š
m k
r
r
I
BAC @
‹Z
r
F m k
I
}
F
‡Z
}
}
l‚k
m k
9.2.2005 Edinburgh
s }
[ }
F }
s
l k
}
}Š
l k
r
r
m k
}
I
CBA@
‡Z
}
l‰k
with
m k
}
I
CBA@
s
CBA@
Iˆ
[
‹
/
with
m k
}
I
BAC @
s
with
BAC @
Iˆ
BAC @
l‰k
I
}
F
Summary
BAC @
s
BAC @
Iˆ
Results
- p. 6/28
Minimisation of Higgs potential
Neutralino dark matter
The Next-to-MSSM
Motivation
Overview of the NMSSM
The three remaining minimization conditions for the Higgs VEVs can be used to reexpress
the soft breaking Higgs masses in terms of the rest of the parameters.

C
q
C
q
8
l k
l k
:
s
[
s
J
I<
>
8
:
„
8
„
Œf F
Œ „
IC @
q
8
r 8
r s F
( ef
NMSSM
|
-
Minimisation of Higgs
potential
Higgs Sector
The neutralino in the
„
„
:
s
[
J
s
q
<
8
:
J
8

„
C J
s F
( ef
|
-
Neutralino dark matter
in the NMSSM
s
[
m k
IC @
8
:
F „

r „
:
IC @
r [
8
:
[ s r F
9.2.2005 Edinburgh
r
r Š
„
and
I<
>
z Ž Š
:
r 8
r where
r s
:
Summary
F
( ij
l k
‚
Results
.
- p. 6/28
Higgs Sector
Neutralino dark matter
After rotating away the CP-odd would-be Goldstone boson we are left with five neutral Higgs
states, and two charged states.
“
‘
8
’
’
“
8
”
:
:
”
s

8

r
:
”
r

8
+
‘
8
’
“
8
‘
+
Minimisation of Higgs
potential
Higgs Sector
The neutralino in the
The Next-to-MSSM
Motivation
Overview of the NMSSM
NMSSM
Neutralino dark matter
in the NMSSM
Results
CP-even and CP-odd states do not mix, since we made the assumption of no CP-violation
on the Higgs sectors.
Summary
+
k
“
‘
‘
‘
+
CP-even Higgs:
•
CP-odd Higgs:
+
Thus the mass matrices are written in the corresponding basis:
9.2.2005 Edinburgh
+
‘
\
8
+
‘
‘
8
+
–
+
The lightest Higgs has a singlet component:
- p. 7/28
The neutralino in the NMSSM
¨
΢
¤£
¦£
¦¥
΢
¤£
΢
¤¥
¦£
ª Ÿ
¡
© Ÿ
© ©
+
§
t
¦£
t
¦£
΢
¤¥
t
§
+
¦¥
΢
¤¥
¦¥
΢
¤£
΢
¤£
œ
Ÿ
¡
ž Ÿ
ž ž
t
Minimisation of Higgs
potential
Higgs Sector
The neutralino in the
+
›š™
˜ —
t
¦¥
΢
¤¥
+
The Next-to-MSSM
Motivation
Overview of the NMSSM
¢
t
+
¢

Neutralino dark matter
NMSSM
Neutralino dark matter
in the NMSSM
The lightest neutralino
+
«
­
€
8
+
«
\
­
8
«
\ +
­
8
Y®«
+
­
B¬«
+
Results
Summary
9.2.2005 Edinburgh
- p. 8/28
The neutralino in the NMSSM
¨
+
΢
¤£
¦£
¦¥
΢
¤£
+
΢
¤¥
¦£
t
£
m
¯l
t
t
+
¯l
t
£
+
¯l
t
£
t
l
¦£
΢
¤¥
t
¦£
+
ª Ÿ
¡
© Ÿ
© ©
¯l
l
+
¦¥
΢
¤¥
¦¥
΢
¤£
΢
¤£
œ
Ÿ
¡
ž Ÿ
ž ž
t
Minimisation of Higgs
potential
Higgs Sector
The neutralino in the
+
›š™
˜ —
t
¦¥
΢
¤¥
+
The Next-to-MSSM
Motivation
Overview of the NMSSM
¢
t
+
¢

Neutralino dark matter
NMSSM
Neutralino dark matter
in the NMSSM
The lightest neutralino has now a singlino component
° ­
8
«
+
«
­
€
8
+
«
\
­
8
«
\ +
­
8
®«
+
­
¬«
+
Results
Summary
This, together with changes in the Higgs sector, alters the neutralino direct detection
properties, in particular, the Neutralino-nucleon cross section has to be re-evaluated.
9.2.2005 Edinburgh
- p. 8/28
Neutralino dark matter
in the NMSSM
9.2.2005 Edinburgh
- p. 9/28
Neutralino-nucleon cross section
We only concentrate on the spin-independent part of the cross-section
Neutralino dark matter
¸²
±
³²
¶·µ
´³²
¶·µ
Squark-exchange:
±
The Next-to-MSSM
Æ

h
 |
ÄÅg
¼

Á
1À
+
( a¿º
g ( ¼
F
.
F
g¹
\ »aº
¸
½¾¼
¼
+
coupling
g
Â
Ç«
B¬«
formally identical to MSSM; new mixings in
Ç
section
Constraints on the
parameter space
±
±
¸
section
Enhancing the cross
ÂÃ|
g
‘ ¼
-
Neutralino dark matter
in the NMSSM
Neutralino-nucleon cross
Results
Summary
9.2.2005 Edinburgh
- p. 10/28
Neutralino-nucleon cross section
We only concentrate on the spin-independent part of the cross-section
Neutralino dark matter
ÍÉ
È
ÊÉ
Ì·Ë
´ÊÉ
Ì·Ë
Squark-exchange:
È
The Next-to-MSSM
Æ

h
 |
ÄÅg
¼

Á
1À
+
( g ( ¼
F
a¿º
½¾¼
.
F
g¹
\ »aº
È
Í
È
Í
+
¼
section
Constraints on the
parameter space
Results
coupling
g
Â
Ç«
B¬«
formally identical to MSSM; new mixings in
Ç
section
Enhancing the cross
ÂÃ|
g
‘ ¼
-
Neutralino dark matter
in the NMSSM
Neutralino-nucleon cross
Higgs-exchange:
Þ
Ù
Ä
e
1À
ÂÝ
܏ g
âä
­
h
€
8
Ù
\
h
à
h
8
° ­
\
\
9.2.2005 Edinburgh
h
ç
IC @
„
Ù
F
æ
O(
ç
Ü Â
æ
z
Ù
° ­
Ž F
° ­
:
:
[
:
h
”
Î
Î
Ù
­
h
€
\
­
:
8
Ô
Ô
h
ã
”
å
8
â
­
h
\F
­
Ù
Ù
Ù
à
â
h
­
­
h
€
) Û Ž á
I<
>
­
h
F
à
Ù +
Ó
Ø
½ ÙÚ\
g¹ )
Ä
e
z
Ù
Â
:
F ß
Î
Õ
Ö Ñ
×
Î
\
ÐÏ
ÒÓÑ
YÐÏ
ÒÓÑ
Summary
- p. 10/28
Enhancing the cross section
This is typically the most important contribution
êé
ìÓë
è
è
Yêé
ìÓë
Neutralino dark matter
ñ
a¿º
t +
In the MSSM larger predictions for
can be obtained
when the Higgs-exchange diagrams are enhanced by
î
ï×ë
Neutralino dark matter
in the NMSSM
Neutralino-nucleon cross
ð
The Next-to-MSSM
and
)
­
€
\
­
(
+
and
+
ò)(
è
B¬«
Decreasing the mass of the exchanged Higgses. (
)
í
Increasing the Higgsino content of
e(
Results
è
section
Constraints on the
parameter space
í
+
section
Enhancing the cross
Summary
9.2.2005 Edinburgh
- p. 11/28
Enhancing the cross section
This is typically the most important contribution
õô
÷Óö
ó
ó
Yõô
÷Óö
Neutralino dark matter
ñ
a¿º
t +
In the MSSM larger predictions for
can be obtained
when the Higgs-exchange diagrams are enhanced by
ù
ú×ö
Neutralino dark matter
in the NMSSM
Neutralino-nucleon cross
ð
The Next-to-MSSM
and
)
­
€
\
(
­
B¬«
Decreasing the mass of the exchanged Higgses. (
)
ø
Increasing the Higgsino content of
+
and
+
e(
Results
ò)(
ó
ó
section
Constraints on the
parameter space
ø
+
section
Enhancing the cross
Summary
The NMSSM provides a new possibility
ü ‡
ý
û
Very light Higgses can be obtained, considerably enhancing the -channel.
3
210
:/
9.2.2005 Edinburgh
Ç
Ç
The lightest Higgs cannot be pure singlino, since the
–
ñ
a¿º
t +
ð
+
ò)(
Such light Higges (
), which have a relatively large singlet
composition, can induce an increase in
of several orders of magnitude.
coupling vanishes.
- p. 11/28
Constraints on the parameter space
Üi
þi m k
I<
>
[
„
Neutralino dark matter
lk
We work with the following input parameters, given at the EW scale:
The Next-to-MSSM
The Higgs potential is minimised numerically with the code NMHDECAY.
Neutralino dark matter
in the NMSSM
Neutralino-nucleon cross
Experimental constraints from LEP
v
); Chargino and
+
¬«
+
"
B¬«
X v
t
, direct production (
X
Neutralino:
_
Summary
þÿ
Absence of Landau poles below
Œ
Results
The NMSSM spectrum is then obtained and the following constraints applied
section
Constraints on the
parameter space
section
Enhancing the cross
Ellwanger, Gunion, Hugonie ’04
9.2.2005 Edinburgh
+
Þ
I@
H
C
1
<
t
"
:
–
Þ
s
s
s
"
.
.
+
+
Ý
(APM)
–
–
+
(DHDM)
+
–
Ý
+
v
–
(IHDM)
+
"
"
X v
t
X v
t
"
X v
t
X
X
X
Neutral Higgs: Constraints on production rates
The constraint on the neutralino relic density is not imposed.
- p. 12/28
Results
9.2.2005 Edinburgh
- p. 13/28
, (i)
[
, , we analyse the constraints on the
,
„
,
m k
I<
>
For fixed values of
l k
‚
Results
plane:
Z
„
I<
>
Neutralino dark matter
Results
Results
/
/
GeV
:/
:/
/
F
-
-
Neutralino dark matter
in the NMSSM
m k
l k
The Next-to-MSSM
GeV
GeV
Masses and compositions
Cross section
Overview
Summary
9.2.2005 Edinburgh
- p. 14/28
, (i)
[
, , we analyse the constraints on the
,
„
,
m k
I<
>
For fixed values of
l k
‚
Results
plane:
Z
„
I<
>
Neutralino dark matter
Results
Results
Masses and compositions
Cross section
Overview
/
/
GeV
:/
:/
/
F
-
-
Neutralino dark matter
in the NMSSM
m k
l k
The Next-to-MSSM
GeV
GeV
Landau Pole
Summary
9.2.2005 Edinburgh
- p. 14/28
, (i)
[
, , we analyse the constraints on the
,
„
,
m k
I<
>
For fixed values of
l k
‚
Results
plane:
Z
„
I<
>
Neutralino dark matter
/
/
Results
Results
Masses and compositions
Cross section
Overview
GeV
:/
:/
/
F
-
-
Neutralino dark matter
in the NMSSM
m k
l k
The Next-to-MSSM
GeV
GeV
Landau Pole
Summary
Higgs tachyons
9.2.2005 Edinburgh
- p. 14/28
, (i)
[
, , we analyse the constraints on the
,
„
,
m k
I<
>
For fixed values of
l k
‚
Results
plane:
Z
„
I<
>
Neutralino dark matter
/
/
/
F
-
Results
Results
Masses and compositions
Cross section
Overview
GeV
:/
m k
Neutralino dark matter
in the NMSSM
:/
l k
The Next-to-MSSM
GeV
GeV
Landau Pole
Summary
Higgs tachyons
False minima
9.2.2005 Edinburgh
- p. 14/28
, (i)
[
, , we analyse the constraints on the
,
„
,
m k
I<
>
For fixed values of
l k
‚
Results
plane:
Z
„
I<
>
Neutralino dark matter
/
/
/
F
-
Results
Results
Masses and compositions
Cross section
Overview
Summary
GeV
:/
m k
Neutralino dark matter
in the NMSSM
:/
l k
The Next-to-MSSM
GeV
GeV
Landau Pole
LEP constraints
Higgs tachyons
False minima
9.2.2005 Edinburgh
- p. 14/28
, (i)
[
, , we analyse the constraints on the
,
m k
,
„
I<
>
For fixed values of
l k
‚
Results
plane:
Z
„
I<
>
Neutralino dark matter
/
/
Results
Results
Masses and compositions
Cross section
Overview
GeV
:/
/
-
Higgsino
F
m k
Neutralino dark matter
in the NMSSM
:/
l k
The Next-to-MSSM
GeV
GeV
Neutralino sector:
The Singlino composition increases
for small and , and the mass
decreases.
[
Summary
Singlino
9.2.2005 Edinburgh
- p. 15/28
, (i)
[
, , we analyse the constraints on the
,
m k
,
„
I<
>
For fixed values of
l k
‚
Results
plane:
Z
„
I<
>
Neutralino dark matter
/
/
/
F
-
-
Doublet
Results
Results
Masses and compositions
Cross section
Overview
GeV
:/
m k
Neutralino dark matter
in the NMSSM
:/
l k
The Next-to-MSSM
GeV
GeV
Neutralino sector:
The Singlino composition increases
for small and , and the mass
decreases.
[
Summary
Singlet
Higgs sector:
[
Light Higgses which are mainly
Singlets are found for small and .
9.2.2005 Edinburgh
- p. 15/28
Results
The corresponding neutralino-nucleon cross section as a function of the neutralino mass
Z
„
I<
>
Neutralino dark matter
Results
Results
Masses and compositions
Cross section
Overview
/
/
GeV
:/
:/
/
F
-
-
Neutralino dark matter
in the NMSSM
m k
l k
The Next-to-MSSM
GeV
GeV
Black dots fulfil all the constraints.
Summary
Grey dots are excluded by LEP.
9.2.2005 Edinburgh
- p. 16/28
Results
The corresponding neutralino-nucleon cross section as a function of the neutralino mass
Z
„
I<
>
Neutralino dark matter
/
/
/
F
-
Results
Results
Masses and compositions
Cross section
Overview
GeV
:/
m k
Neutralino dark matter
in the NMSSM
:/
l k
The Next-to-MSSM
GeV
GeV
Black dots fulfil all the constraints.
Summary
Grey dots are excluded by LEP.
ñ
¿º
t +
ð
üý- ‡
/
t
Large values for the cross section
pb are obtained for
\
ü
üf‹
/
‹
/
ü
+
) (
:/
GeV with
9.2.2005 Edinburgh
/
‡
ü
8
­
€
\
and
­
/
Z
‹
ü
Lightest Neutralino:
° ­ Lightest Higgs:
‡
very light singlet-like Higgses.
- p. 16/28
/
-
-
GeV, with
/
/
The GUT relation is fixed
Overview
GeV
/
.
Z
:
„
GeV ,
I<
>
/
/.
m k
/
/.
F
/
/
l k
/
GeV ,
F
/
Neutralino dark matter
The Next-to-MSSM
Neutralino dark matter
in the NMSSM
Results
Results
Masses and compositions
Cross section
Overview
‹
„
ü
ü
+
I<
>
GeV),
, and neutralinos which are
9.2.2005 Edinburgh
‹
.
/
ü
Higgsino-singlino with
° ­ Very light singlet-like Higgses (
-‡
correspond to:
*)(
ñ
ð
Large values for
a¿º
t +
Summary
- p. 17/28
Summary
9.2.2005 Edinburgh
- p. 18/28
Analysis of the direct detection of neutralino dark matter in the NMSSM
Neutralino dark matter
Systematic analysis of the low-energy NMSSM parameter space.
Summary
Included experimental constraints from LEP data.
The Next-to-MSSM
Neutralino dark matter
in the NMSSM
Results
/
+
diagrams, because of the presence of very light Higgses (
ü ‹
f
is due to an enhancement of Higgs-exchanging
*)(
ñ
The increase in
ð
are attainable, within the reach of future dark matter experiments
a¿º
t +
ñ
ð
a¿º
t +
Large values of
Summary
Homework (in progress)
Summary
GeV) with a significant singlet composition.
9.2.2005 Edinburgh
üý- ‹
/
/
¿º
ü
+
(
/
‹
The lightest neutralino is a mixed singlino-Higgsino state within the
mass range
GeV
- p. 19/28
Homework (in progress)
Calculation of the neutralino relic density. In order for neutralinos to be a (complete)
solution to the problem of dakr matter, their relic density has to be in agreement with
observations (WMAP).
The Next-to-MSSM
Constraints on low energy observables, such as the muon anomalous magnetic
moment, BR
, BR
, have to be included for experimental
compatibility.
Results
t
"
£
s
"
®
v
Neutralino dark matter
in the NMSSM
Neutralino dark matter
Summary
Detectability in colliders. In those regions with large neutralino-nucleon cross
sections, it is interesting to analyse what are the signatures that one may expect from
collider experiments.
Summary
Homework (in progress)
Perform the full analysis from the GUT scale using the RGE equations. This allows for
the inclusion of Charge and Colour Breaking and Unbounded from below constraints,
as well as the study of possible correlations of soft terms at the GUT scale.
9.2.2005 Edinburgh
- p. 20/28
Extra Slides
9.2.2005 Edinburgh
- p. 21/28
9.2.2005 Edinburgh
8
‘
‘
\
8
+
+
s
[
8
:
s
[
8
:
l k
‚
:
:
F
IC @
s
[
8
l k
‰
s
Œ r :
F„
s
8
8
r
r
l k
s
J
q
<
„
s
[
8
l k
‰
s
8
„
IC @
s Œ „
s
[
8
l k
‚
I<
>
s
8
„
C J
q
Œ j
i j
i [ .
[
m k
\
\
j
i g
g
•
•
+
+
£
The Next-to-MSSM
‘
+
l k
‚
r
r
Fs
Fs
–
+
:
\
r
\
r
!
+
Case (iii)
Case (iv)
j
i Higgs Sector
Variations of the
parameters
Variations in the gaugino
masses
Variations in the gaugino
masses
Case (ii)
j
i j
i Extra Slides
Ù
–
Ù +
8
:
:
Z
:
F„
IC @
[
s
[
s
[
m k
F
l k
r
l
Neutralino dark matter

|
F
8
s
[
:
l k
‚
r
l k
‚
s
[
_ l
¦ £
b
Higgs Sector
CP-odd Higgs:
Neutralino dark matter
in the NMSSM
Results
Summary
CP-even Higgs:
- p. 22/28
, (i)
:
Despite the decrease in the tachyonic region, the region excluded experimentally by
(IHDM and DHDM) is much larger and imply
pb.
üf- ‹
/
t
+
–
ñ
a¿º
t +
ð
"
X v
t
X
!
Neutralino dark matter
Decrease
m k
Variations of the parameters
Neutralino dark matter
in the NMSSM
/
-
-
GeV ,
/
F
GeV ,
mnk
/
:/
,
l k
Z
„
I<
>
The Next-to-MSSM
GeV
Results
Summary
Extra Slides
Higgs Sector
Variations of the
parameters
Variations in the gaugino
masses
Variations in the gaugino
masses
Case (ii)
{
‡
/
ü
\
GeV with
9.2.2005 Edinburgh
ü
¿º
+
(
Mixed singlino-Higgsino neutralinos with
/
‡
ü
+
) (
‡
Case (iii)
Case (iv)
GeV
- p. 23/28
, (i)
:
„
Variations in
I<
>
Variations of the parameters
„
Low values of
are more experimentally constrained, but allow for lighter Higgses with
a large singlet component and thus large
ñ
a¿º
t +
ð
I<
>
Neutralino dark matter
Neutralino dark matter
in the NMSSM
/
-
-
GeV ,
/
:/
F
GeV ,
m k
/
:/
,
l‰k
:
„
I<
>
The Next-to-MSSM
GeV
Results
Summary
Extra Slides
Higgs Sector
Variations of the
parameters
Variations in the gaugino
masses
Variations in the gaugino
masses
Case (ii)
Case (iii)
Case (iv)
I<
>
„
For large
tachyonic regions are larger, the Higgs is mainly a doublet and the
Neutralino is Higgsino-like. Similar results to those in the MSSM are obtained.
9.2.2005 Edinburgh
- p. 23/28
, (i)
Variations in
l k
Variations of the parameters
:
There is a range of “optimal” values for
outside of which tachyons appear more easily in
the Higgs sector and experimental constraints are more important. large
ñ
a¿º
t +
ð
l k
‚
Neutralino dark matter
Neutralino dark matter
in the NMSSM
/
-
-
GeV ,
/
F
GeV ,
mnk
/
.
/
,
l k
Z
„
I<
>
The Next-to-MSSM
GeV
Results
Summary
Extra Slides
Higgs Sector
Variations of the
parameters
Variations in the gaugino
masses
Variations in the gaugino
masses
Case (ii)
Case (iii)
Case (iv)
9.2.2005 Edinburgh
- p. 23/28
, (i)
. Let us now address variations in the
‹
‹
So far we have analysed the case
gaugino mass parameters
Variations in the gaugino masses
Preserving the GUT relation
The Next-to-MSSM
Neutralino dark matter
/
-
GeV
-
Neutralino dark matter
in the NMSSM
Results
Summary
/
/
GeV
GeV
GeV
/
F
:/
/
:/
Z
„
/
m k
l k
I<
>
Higgs Sector
Variations of the
parameters
Variations in the gaugino
masses
Variations in the gaugino
masses
Case (ii)
Extra Slides
9.2.2005 Edinburgh
‡
/
ü
8
­
€
\
!
­
‹
/
Z
ü
is singlino-Higgsino like
° ­ ¬«
For low ,
+
Case (iii)
Case (iv)
- p. 24/28
, (i)
. Let us now address variations in the
‹
‹
So far we have analysed the case
gaugino mass parameters
Variations in the gaugino masses
Preserving the GUT relation
The Next-to-MSSM
Neutralino dark matter
/
:/
/
-
GeV,
-
Neutralino dark matter
in the NMSSM
GeV
Results
Summary
/
/
GeV
GeV
GeV
/
F
:/
/
:/
Z
„
/
m k
l k
I<
>
Higgs Sector
Variations of the
parameters
Variations in the gaugino
masses
Variations in the gaugino
masses
Case (ii)
Extra Slides
‡
/
ñ
ð
become more important and
a¿º
t +
increases, the gaugino components of
¬«
+
ü
8
­
€
\
!
­
‹
/
Z
ü
is singlino-Higgsino like
° ­ ¬«
When
For low ,
+
Case (iii)
Case (iv)
decreases.
9.2.2005 Edinburgh
- p. 24/28
, (i)
. Let us now address variations in the
‹
‹
So far we have analysed the case
gaugino mass parameters
Variations in the gaugino masses
Preserving the GUT relation
The Next-to-MSSM
Neutralino dark matter
/
/
GeV,
/
:/
/
-
GeV,
-
Neutralino dark matter
in the NMSSM
GeV
Results
Summary
/
/
GeV
GeV
GeV
/
F
:/
/
:/
Z
„
/
m k
l k
I<
>
Higgs Sector
Variations of the
parameters
Variations in the gaugino
masses
Variations in the gaugino
masses
Case (ii)
Extra Slides
‡
/
ñ
ð
become more important and
a¿º
t +
increases, the gaugino components of
¬«
+
ü
8
­
€
\
!
­
‹
/
Z
ü
is singlino-Higgsino like
° ­ ¬«
When
For low ,
+
Case (iii)
Case (iv)
9.2.2005 Edinburgh
ñ
ð
is bino-like and
a¿º
t +
¬«
For large
+
decreases.
is beyond experimental sensitivity.
- p. 24/28
, (i)
. Let us now address variations in the
‹
So far we have analysed the case
gaugino mass parameters
‹
Variations in the gaugino masses
:
Relaxing the GUT relation
The Next-to-MSSM
Neutralino dark matter
/
-
GeV
-
Neutralino dark matter
in the NMSSM
Results
Summary
/
/
GeV
GeV
GeV
/
F
:/
/
:/
Z
„
/
m k
l k
I<
>
Higgs Sector
Variations of the
parameters
Variations in the gaugino
masses
Variations in the gaugino
masses
Case (ii)
Extra Slides
The Wino composition becomes more important as
, is larger than in the Bino case.
increases. The cross section,
9.2.2005 Edinburgh
ñ
a¿º
t +
ð
Case (iii)
Case (iv)
- p. 25/28
, (i)
. Let us now address variations in the
‹
So far we have analysed the case
gaugino mass parameters
‹
Variations in the gaugino masses
:
Relaxing the GUT relation
The Next-to-MSSM
Neutralino dark matter
/
:/
/
-
GeV,
-
Neutralino dark matter
in the NMSSM
GeV
Results
Summary
/
/
GeV
GeV
GeV
/
F
:/
/
:/
Z
„
/
m k
l k
I<
>
Higgs Sector
Variations of the
parameters
Variations in the gaugino
masses
Variations in the gaugino
masses
Case (ii)
Extra Slides
The Wino composition becomes more important as
, is larger than in the Bino case.
increases. The cross section,
9.2.2005 Edinburgh
ñ
a¿º
t +
ð
Case (iii)
Case (iv)
- p. 25/28
, (i)
. Let us now address variations in the
‹
So far we have analysed the case
gaugino mass parameters
‹
Variations in the gaugino masses
:
Relaxing the GUT relation
The Next-to-MSSM
Neutralino dark matter
/
/
GeV,
/
:/
/
-
GeV,
-
Neutralino dark matter
in the NMSSM
GeV
Results
Summary
/
/
GeV
GeV
GeV
/
F
:/
/
:/
Z
„
/
m k
l k
I<
>
Higgs Sector
Variations of the
parameters
Variations in the gaugino
masses
Variations in the gaugino
masses
Case (ii)
Extra Slides
The Wino composition becomes more important as
, is larger than in the Bino case.
increases. The cross section,
ñ
a¿º
t +
ð
Case (iii)
Case (iv)
/
/
a¿º
+
(
-
Because of the experimental bound on the chargino mass, Wino-like neutralinos cannot
be obtained below
GeV.
9.2.2005 Edinburgh
- p. 25/28
, (ii)
Case (ii)
$
" !
#
,-
Neutralino dark matter
ñ
a¿º
t +
ð
t
/
[
‡
/
In contrast with the previous examples, in case (ii), for
, the Neutralino is Higgsino-like
in all the parameter space and the cross section is bounded by
. The
lightest Higgs is doublet-like.
/
-
-
GeV ,
/
F
/
:/
F
GeV ,
m k
,
l k
Z
„
Neutralino dark matter
in the NMSSM
I<
>
The Next-to-MSSM
GeV
Results
Summary
Extra Slides
Higgs Sector
Variations of the
parameters
Variations in the gaugino
masses
Variations in the gaugino
masses
Case (ii)
Case (iii)
Case (iv)
9.2.2005 Edinburgh
-
‹
/
ü
° ­ /
ü
\
-
‹
Most of the parameter space is excluded due to tachyons in both the CP-odd and CP-even
Higgs sectors.
and
- p. 26/28
, (iii)
Case (iii)
ñ
a¿º
t +
ð
[
‡
/
In case (iii), for
, the parameter space is again plagued with tachyons in the Higgs
sector. Despite this, large
can be found when the Higgs is light and singlet-like.
/
° ­ -
‹
/
GeV ,
GeV ,
m k
/
/
Z
,
l k
Z
„
The Next-to-MSSM
I<
>
Neutralino dark matter
GeV
Neutralino dark matter
in the NMSSM
Results
Summary
Extra Slides
Higgs Sector
Variations of the
parameters
Variations in the gaugino
masses
Variations in the gaugino
masses
Case (ii)
üý‹
/
.
9.2.2005 Edinburgh
F
/
/
+
and
) (
GeV
GeV
ü
a¿º
+
(
/.
‡
ü
/
The Neutralino is a mixed singlino-Higgsino state with
-
Case (iii)
Case (iv)
- p. 27/28
, (iv)
%
Case (iv)
[
‹
/
The results for case (iv), with
, are qualitatively similar to those of case (ii). The
Neutralino is Higgsino-like and a doublet-like lightest Higgs is obtained.
/
:/
GeV ,
/
/
.
GeV ,
m™k
,
l k
The Next-to-MSSM
„
I<
>
Neutralino dark matter
GeV
Neutralino dark matter
in the NMSSM
Results
Summary
Extra Slides
Higgs Sector
Variations of the
parameters
Variations in the gaugino
masses
Variations in the gaugino
masses
Case (ii)
/
t
-
&:
ñ
ð
a¿º
t +
The neutralino-nucleon cross-section is bounded by
ü ‹
f
!
Case (iii)
Case (iv)
pb by
9.2.2005 Edinburgh
:
ü -‡
-
+
) (
and
GeV
a¿º
+
(
experimental constraints.
- p. 28/28
Download