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