Testing SUSY Dark Matter

Testing SUSY Dark Matter Wi de Boer, Markus Horn, Christian Sander Institut für Experientelle Kernphysik Universität Karlsruhe Wi.de.Boer@cern.ch http://hoe.cern.ch/ deboerw SPACE Part Elba, May 7, CMSSM Constraints Outline Positron fraction in the CMSSM Paraeter Space Coparison with HEAT data Suary Wi de Boer Space Part, Elba, May 7,

!! Typical Fits to HEAT Data + + e - ) fraction e + /(e bg + 7700 signal χ =30.3 bg (ep-scaling=0.9) bg only fit χ =48.0 HEAT 94/95/0 AMS 0 + + e - ) fraction e + /(e bg+50 signal χ =4. bg (ep-scaling=0.9) bg only fit χ =48.0 HEAT 94/95/0 AMS 0 - - t t W + W - - - b b + - -3 positron energy -3 positron energy + + e - ) fraction e + /(e bg + 3 signal χ =37.9 bg (ep-scaling=0.94) bg only fit χ =48.0 HEAT 94/95/0 AMS 0 + + e - ) fraction e + /(e bg + 540 signal χ =4. bg (ep-scaling=0.9) bg only fit χ =48.0 HEAT 94/95/0 AMS 0 - - b b b b - - -3 + - positron energy -3 t t + - positron energy Wi de Boer Space Part, Elba, May 7,

P b o ( o } Š g o o o b p p p ( d N CMSSM Fitprocedure Choose the GUT supergravity inspired paraeters: " #%$&" ')(+*$),.-0/3$&4-0/5 6 $879;: $5< =?>A@B$DC EF=G>H@B$DC IJ=G>H@B$KC LM=?>A@ Miniize the Higgs potential in order to deterine 4 Calculate asses and couplings at low energies by integrating about 30 coupled RGE s and decoupling sparticles at thresholds calculate O =?QR SUTV@, WYX[Z\X] ^ Deterine the best paraeters by iniizing: `_ a b cd cfehg%ijkd b cfe X`X e ilin p q rtsvuxw ykz {x}~ ƒ p ˆ y z { ŠŒ~ Ž. ˆ ykz {H )~ Ž G & ˆ y cše gkj œ +žÿ?kin ^ _ p y cfx c ij Kž œ+ª «Y ~in ll y c²± ³ `³ ¹ j3ºk +»Y«Y ~ ¼½¼ i¾ bæå ÁÀ bæå y cãâ e j e3ä  i ÉÈÇ Ê Ë e Â Ì e3ä  y cæíïî Ë Ð± Î)Ñ;Ò Ó Ô?Õ½Ö Ö ËÁ ÙØ ±KÚÛ±ÃÕܱ Î ÕƒžÜÖ e X`X e i and strongly correlated. Repeat fits for all pairs of $ rtsvu Wi de Boer Space Part, Elba, May 7, 3

w w å ú ü ü þ ô ÿ å ß ô /α i 60 ä 50 ã 40 â 30 á0 Unification of the Coupling Constants in the SM and the inial MSSM à0 à ä 0 5 5 log Q /α i 60 ä 50 ã 40 â 30 á0 à0 Ý /α Ý /αþ à0 5 Ý 3 MSSM /α ä 5 log Q d d _ U. Aaldi, W. de Boer, H. Fürstenau, PL B60(99) 447 d coupling constants of electroagnetic, weak, and stong interactions ')( dçæfèêéìë+íïî _ due to radiative corrections (LO) Fro RGE equations: ass 700 ó ò 500 ñ 300 0 ð 0 q ~û t ~û ~ý t l ~û ~ý L L R L l R Bino ù Gluino ø Wino ô ü tan β =.65 = Y Y b ö 0 ( 0 + ) ó 4 6 8 4 6 log Q 0 Wi de Boer Space Part, Elba, May 7, 4

4 4 4 * * * * * * C C I L ' ' Yukawa Unification E = @ I = @ L = @ C E ' _ y _ ' y _ ' y _ Relation between 4 E and M top Y t/b (0) 0 80 60 - - -3-4 -5-6 Y t Y b (0) > 0 (0) < 0 =Y χ 0 0 Preferred: J "! # > %$ Low tan β or $ > & & A> scenario excluded by Higgs liit! Wi de Boer Space Part, Elba, May 7, 5

c J i - Higgs ass vs ')(+* 30 h 0 0 90 80 70 > 0 < 0 > 0 < 0-0 / / / 60. $, tanβ 5 5 0 5 30 35 40 excluded by Higgs liit of 4 GeV! Yellow band in Figure: " E )/0! 43 > & " 5 & 76 > 43 : For " E 8/9! #! 43 >! & " 5 & 76! : or:<; a ' '>=?A@ EDCFE c%b :HG? * EM5 CFNIO?P= EDCFE BIBKJLBi ([Z :HG BIB ( o TSVUTW a Ö ÚnÔ? YXK± Î ) GeV JRQ3ž Wi de Boer Space Part, Elba, May 7, 6

Ö w f \ \ e Ö w f ^ e Ö ( ( ( e Ö w j ^ kj l Fro RGE (large ) d Neutralino: c Ö Gaugino Fraction e c O = \ ] @ ^ `_ = \ ] @ ^ baç 6 = \ ] @ ^ g h wh c c i f Neutralino Mass Mixing Matrix: i c º e ¼ jte gnüë[o oqp srut e g oqp oqp vrt e e gw½ëxo Üë[o rut jtehg otp ½ëxo rt jtehgnüë[o oqp vrt e g Üë[o Üë[o rut e g otp otp sr t jte g oqp Üë[o r t j ƒ }q ˆ ƒ } Š Gaugino Fraction: ~} yrz { gaugino fraction 0.5 0 0Œ Large Ž } gaugino fraction SMALL coupling to Higgs and gauge bosons! Wi de Boer Space Part, Elba, May 7, 7

Diagras for Neutralino Annihilation Gauge Bosons Sferions Only heavy final states relevant (helicity conservation!) All x-sections strong function of Interferences (Z-,t-channel) NEGATIVE Interferences (Higgs-,t-channel) POSITIVE Wi de Boer Space Part, Elba, May 7, 8

¾½ º ãâ Þ ä ê t-channel Helicity suppression»¼ š at low neutralino oenta œk 4œ"ž Ÿ Ÿ Y ³x ³ %³ ¹³ ÀÁ à³x ³x ª «D ²± ßáà ÖuË Ö ËÚÛÝÖ Ë²ÛÜËFÖ ÖMË Ê ÖMËØ ÚÙ Sae for quarks Ä ÅÆÄ Å7Ç È¹É È ÊÌË ÍÌË ÎÌËÏÑÐÓÒÕÔ ìîí0ïðì ¼ñKò ï»uóó ôö ï» ø ï ºLùuó ú7û ï ü [» ú0ý ï ü åæxçéè çéë Dþ ó Wi de Boer Space Part, Elba, May 7, 9

GF B ji f x-section vs ÿ CED :045A :04@? :045> ó ó ( ) "!$#&%&')(+*-,+,.0/ # # H H :04-= :04<; 354 674 8 *-,9 geh `0\5e `0\@d `0\5c ó ó I ( ôkjmô ) LMNLMO P PSRUT VWT X-YUZ Q k Qk l lq `0\-b `0\<a [5\ ]7\ T X-^_ Wi de Boer Space Part, Elba, May 7,

Higgs exchange vs Š ˆ <y ó ó decays npo<q)nposr t r uwvu <y7ƒ xzy { y 0}~ W W 7 ó ó decays ŒŽ W ŒŽ W Ÿ W @ž šz sœ Wi de Boer Space Part, Elba, May 7,

± ± Neutralino Annihilation X-sections ² ÿ «ª <σv> [c 3 s - GeV - ] -8-9 -30 ² siga v³ TOT 0 <σv> [c 3 s - GeV - ] ± -7-8 ± -9-30 ± -3 ² siga v³ TOT 0 ÿ ¹º <σv> [c 3 s - GeV - ] -5 ± -6 ± -7-8 ² siga v³ TOT 0 <σv> [c 3 s - GeV - ] -5 ± -6-7 ± -8 ² siga v³ TOT 0 Wi de Boer Space Part, Elba, May 7,

± ½ ½ ± ½ ½ Boost factor for HEAT Data ² ÿ «ª boost factor ¼ 3 ±» boost-factor (best fit) 0 boost factor ¼ 3 ±» boost-factor (best fit) 0 ÿ ¹º boost factor ± ¼ 3 ± boost-factor (best fit) 0 boost factor ± ¼ 3 ± boost-factor (best fit) 0 Wi de Boer Space Part, Elba, May 7, 3

Ä Å È É Ä Å È É È É Dark Matter ¾ «¹ À ÿ «ª excl. LSP excl. LSP excl. Ω h > 0.5 excl. Ω h Á > 0.5  à ÆÇ Ωh 0 -region Á  à ÆÇ Ωh 0 -region ² ÿ ² ÿ ¹º excl. LSP excl. LSP excl. Ω h > 0.5 excl. Ωh Á < 0.  excl. Ω h < 0. Á excl. Ω h > 0.5 à Ωh -region Æ 0 Ç Â Ã Ωh -region Æ 0 Ç Green regions preferred by Booerang and SN Ia Wi de Boer Space Part, Elba, May 7, 4

Ï Ï Ï Higgs Contours (high ÊÌËÎÍ scenario) Ô Ô Ô A = 3 A = 0 A = - h 0 5 0 5 0 5 5 0Ð Ï500 500 5 0Ð Ï500 500 5 0Ð Ï500 500 Ó Ò Ñ 9 GeV 6 GeV 4 GeV GeV 8 GeV Ï500 GeV Ó Ò Ñ 0 GeV 9 GeV 8 GeV 6 GeV 4 GeV GeV Ï500 Ó Ò Ñ 8 GeV 6 GeV 4 0 GeV 9 GeV 0 Ï500 Õ For Ö Ø Ù ÚÜÛ Ý Þ hardly liit fro ß à á ââžã GeV However, ä Þ å æç prefers è éêø ë ß ì Then lower liits on SUSY fro Higgs constraint Wi de Boer Space Part, Elba, May 7, 5

± ± îí contr. for HEAT Data ïzðòñôó «ª ïðñ"ó χ - ter 40 χ - ter 40 0 0 ö ±0 0 ö ±0 0 χ - ter χ - ter ïðñ"ó ïðñôó ¹º χ - ter 40 χ - ter 40 0 ö0 0 0 ö0 0 χ - ter χ - ter Wi de Boer Space Part, Elba, May 7, 6

ÿ ÿ ÿ ÿ Typical Fits to HEAT Data ïðñôó «ªùø ûú ýü ïðñôó «ªùø ûú þ + + e - ) fraction e + /(e bg + 7700 signal χ =30.3 bg (ep-scaling=0.9) bg only fit χ =48.0 HEAT 94/95/0 AMS 0 + + e - ) fraction e + /(e bg+50 signal χ =4. bg (ep-scaling=0.9) bg only fit χ =48.0 HEAT 94/95/0 AMS 0 - - t t W + W - - - b b + - -3 ïðñ"ó positron energy ¹ ôø ûú ª -3 ïðñôó positron energy ¹º ôø ûú ¹ + + e - ) fraction e + /(e bg + 3 signal χ =37.9 bg (ep-scaling=0.94) bg only fit χ =48.0 HEAT 94/95/0 AMS 0 + + e - ) fraction e + /(e bg + 540 signal χ =4. bg (ep-scaling=0.9) bg only fit χ =48.0 HEAT 94/95/0 AMS 0 - - b b b b - - -3 + - positron energy -3 t t + - positron energy Wi de Boer Space Part, Elba, May 7, 7

Suary Low values of (ÊÌËÎÍ ) excluded by LEP Higgs Liit of 4 GeV At larger values of ÊËÜÍ DOMI- NANT FINAL STATE FINAL STATE has orders of agnitude larger x-section than final states FINAL STATE fits the HEAT data as well as the final states Supersyetry can beautifully explain Dark Matter in the universe Wi de Boer Space Part, Elba, May 7, 8