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Positr on Fraction in the CMSSM
Wim de Boer, Markus Horn, Christian Sander, Valerie Zhuk ov
IEKP, Univer sity Karlsruhe
Wim.de .Boer@cern.c h http://home .cern.c h/˜deboe rw
AMS, CERN, Oct. 11, 2002
OutlineUpdate on Positr on fraction in the CMSSM
Expectations for AMS data
Summar y
Wim de Boer AMS, CERN, October 11, 2002 1
Typical Fits to AMS+HEAT Data vs
� ��
10-3
10-2
10-1
1
1 10 102
positron energy [GeV]
e+ /(e+ +
e- ) fr
acti
on
b b–
τ+ τ-
W+ W-
bg+22200• signal χ2=24.2
bg (ep-scaling=0.91)
bg only fit χ2=48.0
HEAT 94/95/2000
AMS 01
tanβ= 1.6; m0= 200; m1/2= 300
10-3
10-2
10-1
1
1 10 102
positron energy [GeV]
e+ /(e+ +
e- ) fr
acti
on
b b–
τ+ τ-
bg+175•signal χ2=25.1
bg (ep-scaling=0.86)
bg only fit χ�2=48.0
HEAT 94/95/2000
AMS 01
tanβ=50; m0= 500; m1/2= 500
��� � � �� � �� � � ��� � ��� � � � � � �� � � � �� �
Wim de Boer AMS, CERN, October 11, 2002 2
Dark Matter Annihilation equals B-Physics at LEP
PRESENT LIMITS ON
��� � �� �Dark Matter annihilates dominantl y into b-quarks
Energy of the b-quarks:
�! "# $% & ' ( ' )* + ,B-meson decay WELL under stood in Dark Matterannihilation energy rang e
Wim de Boer AMS, CERN, October 11, 2002 3
Yukawa Unification
160
180
200
220
1 10
Mto
p [G
eV]
10-6
10-5
10-4
10-3
10-2
10-1
1
1 10
Yt/b
(0)
0
10
20
1 10 tan β
χ2
µ(0) > 0
µ(0) < 0
Yt
Yb
-=Yτ
./ 0 1243 5 6 .87 / 9;:< =>?@ 9;:< =>.BA 0 1243 5 6 .87 A ?? @ 9;:< =>.C 0 1243 5 6 .7 C ?? @ 9;:< = >
7 A 0 7 C D
Relation between
EGF and
��� � �
Preferred:��� � � HI� JK LM � N
or��� � �O K M PQSRT U V M W
U V �pref erred by
XZY [\ and ]�^ �
Low
��� � �
scenario excluded by Higgslimit!
Wim de Boer AMS, CERN, October 11, 2002 4
Pseudoscalar Higgs exchang e vs
� ��
_ � _ � Y ` Y X X _ � _ � Y ` Y a a
b ced b cgf hf i j i
kl mlon pq r
s l ts l uv wx
y z
{ |~} { |�� �� � ��
�� ��o� �� �� � �� � �
� � �� � �
� ��� �
_ � _ � Y ` Y X Xdominates at large
��� � �
.
Wim de Boer AMS, CERN, October 11, 2002 5
Main Diagrams for Neutralino Annihilation
Gauge Bosons Fermions
� ���� ���
� � ���
� ���� ���
��� � � �� �
� � � ��� ��� �¡� � �� � � � �� �£¢� �¡� � �
To Note:1. Light fermion pair s suppressed due to Pauli-Principle
(neutralinos are Majorana par tic les and fermions
YPauli-Principle at zero mo-
mentum
Y
p-wave
Y ¤ fermion mass !)
2. at
� � � � V �
fermion pair s dominate
3.
P _ _ Y a^ ¥ ¦¨§© © � ª Y a a W�« P _ _ Y a^ ¥ ¦§ © © � ª Y X X
)P _ _ Y ¬ Y X X W® P _ _ Y ¬ Y a a W
(Neg. interf erence with t-channel)P _ _ Y ` Y X X W V V P _ _ Y ` Y a a W
(Pos. interf erence with t-channel)
4. RESULT:
X X
dominates over
a a(for
��� � � V �
)
Wim de Boer AMS, CERN, October 11, 2002 6
Neutralino Annihilation X-sections for
� �� ¯ °±
200400
600800
1000200 400 600 8001000
10-27
10-26
10-25
10-24
sigv_bb
m1/2 [GeV] m 0
[GeV
]
<σv>
[cm
3 s-1
]
200400
600800
1000200 400 600 8001000
10-30
10-29
10-28
10-27
sigv_tt
m1/2 [GeV] m 0
[GeV
]<σ
v> [
cm3 s
-1]
X X a a
Wim de Boer AMS, CERN, October 11, 2002 7
Neutralino Annihilation X-sections for
� �� ¯ °±
200400
600800
1000200 400 600 8001000
10-27
10-26
10-25
10-24
sigv_tau
m1/2 [GeV] m 0
[GeV
]
<σv>
[cm
3 s-1
]
200400
600800
1000200 400 600 8001000
10-30
10-29
10-28
10-27
sigv_WW
m1/2 [GeV] m 0
[GeV
]<σ
v> [
cm3 s
-1]
² ² ³ ´ ³¶µ
Wim de Boer AMS, CERN, October 11, 2002 8
Boost factor for combined AMS and HEAT Data
� � � � � ��� � � � �
200400
600800
1000
20040060080010001
1010 210 310 410 510 610 7
boost
m1/2 [GeV] m 0
[GeV
]
boos
t fa
ctor
200400
600800
1000
20040060080010001
10
10 2
10 3
boost
m1/2 [GeV] m 0
[GeV
]bo
ost
fact
or
Wim de Boer AMS, CERN, October 11, 2002 9
Possib le AMS-02 Data in 2006
one year AMS
10-2
10-1
10-1
1 10 102
103
positron energy [GeV]
e+ /(e+ +
e- ) fr
acti
on exp. data by DarkSUSY
bgMosk-Strong (e+-scale=0.86)
generated dummy data
tanβ= 50; m0= 500; m1/2= 500
one year AMS
10-2
10-1
10-1
1 10 102
103
positron energy [GeV]
e+ /(e+ +
e- ) fr
acti
on exp. data by DarkSUSY
bgMosk-Strong (e+-scale=0.89)
generated dummy data
tanβ= 50; m0=1000; m1/2=1000
��� � � � � � �� � � � ��� � � �� · � � �� �
Wim de Boer AMS, CERN, October 11, 2002 10
Possib le ¸� after one year AMS-02
200
400
600
800
1000
200 400 600 800 1000
χ2
m1/
2 [G
eV]
m0 [GeV]
excl
. LSP
90 % CL99 % CL
tanβ=50; m0=500; m1/2=500
500
1000
1500
500 1000 1500
χ2
m1/
2 [G
eV]
m0 [GeV]
excl
. LSP
90 % CL99 % CL
tanβ=50; m0=1000; m1/2=1000
��� � � � � � �� � � � ��� � � �� · � � �� �
Wim de Boer AMS, CERN, October 11, 2002 11
Summar y
Low values of (
¹»º¼ ½ ¾ ¿ÁÀ Â
) excluded by electr oweak data (g-2,LEP Higgs Limit and
ÃÄ 1 � DÅ Æ)At larger values of
¹º ¼ ½ � �
DOMINANT FINAL STATE
� �
FINAL STATE has orders of magnitude larger x-section than@ Ç
final states and also larger thanÈ È
final states for
¹»º¼ ½»É Ê
� �
FINAL STATE fits the AMS+HEAT data as well as the
@ Ç
orÈ È
final states
AMS-02 and PAMELA off er good prospects for stud ying in detailDM annihilation by precise measurement of positr on and antipr otonspectra.
Wim de Boer AMS, CERN, October 11, 2002 12
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