The gauge boson contributions to the radiatively corrected m(6)

We derive analytic formulas for the radiatively corrected mass of the scalar Higgs boson in the framework of the minimal supersymmetric standard model (MSSM). Since the scalar-top-quark mass in our analysis include terms proportional to the gauge couplings

2g(m2,m)= tt121m2 t12 2(m2 m). tt 21 (16)

Intheaboveequation,theradiativelycorrectedmass-squaredofthepseudoscalarHiggsbosonisgivenby

m2A=m23

16π2v2sinβcosβ32f(m2,m), tt 12(17)

wherethe rsttermstandsforthemass-squaredofthepseudoscalarHiggsbosonatthetree-level.Eveniftermsproportionaltothegaugecouplingsinthescalar-top-quarkmassareincluded,theradiativelycorrectedmassofthepseudoscalarHiggsbosondoesnotchanged.Themass-squaredsofthescalarHiggsbosonareobtainedas

m2h,H=

mh≤mH.

Nowletussetareasonableregioninparameterspaceinordertoobtainthenu-mericalresultfortheneutralHiggsbosonmass.TheCDFandD0collaborations,respectively,predictthatthetop-quarkmassis176±8±10and199+19 21±22GeV[5].Thereforewetakethetopquarkmassof175GeV.TheHiggsmixingparameterµisthemassparameterintroducedinthesuperpotentialtermµH1H2.Thevaluesofthe

2functionf(m2,m)arealwayspositiveinourparametersetting.Ifwesetµ·Atas tt12apositivevalue,radiativecorrectionswillbepositivelycontributedtothetreelevel

massofthepseudoscalarHiggsboson.Inthispaper,we xµastheelectroweakscale,100GeV.Inournumericalanalysis,therangesofparametersarepresentedinTable

1.TheupperlimitoftanβinTable.1isgivenbyequation,tanβ=mt/mb≈40formt=175GeVTheupperlimitonthetreelevelmassofthepseudoscalarHiggsboson

2is xedas950GeVinournumericalanalysis.Thusm23canbeincreasedupto150

fortanβ=40.ExperimentallysupersymmetricparticlesareconstrainedtobeheavierthantheirSMpartners[6].Thereforeweassumethatthelowerlimitonthelighterscalar-top-quarkmassislargerthanthetop-quarkmass.

TableI.TherangesfortheMSSMparameters

102

2

100

100

100≤≤≤≤≤m23tanβmQmT

At≤1502≤40≤1000GeV≤1000GeV≤3000GeV1(TrMS)2 4det(MS), (18)

NextletusevaluatethenumericalresultfortheupperboundontheneutralHiggsbosonmassincludingradiativecorrectionsintheMSSM.InFig.1,weplotmhinclud-ingthepartialcontributionsofthegaugebosonsatthe1-looplevel.mhismaximized