We study gauge mediation of supersymmetry breaking in SU(5) supersymmetric grand unified theory with gauge fields as messengers. The generated soft supersymmetry breaking parameters lead to close to maximal mixing scenario for the Higgs mass and highly red
Intheminimalcase(Nmess=0),expressionsaresimpli ed:
2m2Q=( 20+3bG)MSUSY,
2m2uc=( 16+4bG)MSUSY,
2m2dc=( 12+2bG)MSUSY,
2m2L=( 12+3bG)MSUSY,
2m2ec=( 12+6bG)MSUSY,
2m2Hu,Hd=( 12+3bG)MSUSY.(3.16)(3.17)(3.18)(3.19)(3.20)(3.21)
Softtri-lineartermsarealsocalculatedbyaddingindividualcontributionsfromthree eldsinvolved(Eq.(A.16)),
Aijk=Ai+Aj+Ak,
Aφi=2 cφiMSUSY.
Moreexplicitly,
At=10MSUSY,
Ab=8MSUSY,
Aτ=12MSUSY.(3.24)(3.25)(3.26)(3.22)(3.23)
Thesameresultisgiventothe rstandthesecondgenerationsofttri-lineartermsasitjustdependsongaugecharges.Mattermessengers(Nmess=0)donota ecttheboundaryconditionofsofttri-lineartermsasinusualgaugemediation.
NegativesigningauginomassesisabsorbedbyU(1)Rsymmetryrotation.Aandµtermschangesignaccordingly.Thus,wechoosetheconventionofM3>0inwhichA<0forNmess≤4.
3.1CharacteristicFeatures
Gaugemessengermodelsareverypredictive,sincethesoftSUSYbreakingparametersarecalculableintermsofMSUSYandgaugequantumnumbersof eldsinvolved.ThepatternofsoftSUSYbreakingtermsisuniqueanddistinctivelydi erentfromothermodels.Themoststrikingfeaturesare:
Non-universalgauginomassesattheGUTscale:
M1>M2>M3
Thegauginomassesarenon-universalevenattheGUTscalethoughwestartedfromtheGUTmodels.Itisthemostinterestingfeatureofthegaugemessengermodel.Furthermore,bino(andwino)isheavierthangluinoattheGUTscaleandthethreegauginoshaveatendencyofgatheringattheEWscaleduetotheusualrunningbehaviorofgaugecouplings.