The gauge boson contributions to the radiatively corrected m(7)

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

2fortheparameterspaceof102≤m23≤150GeV,and100≤mQ(mT)≤1000GeV.

We ndfromFig.1thatmhincreasesastanβincreases.Thatis,mhoftheMSSMisalwaysmaximizedassinβ→1.Fig.2showstheupperboundontheradiatively

2correctedmassoftheneutralHiggsboson,asafunctionoftanβ,for102≤m23≤150

GeV,100≤mQ(mT)≤1000GeV,and100≤At≤3000GeV.OfcoursetheupperboundonthelighterscalarHiggsbosonmassatthetreelevelisZbosonmass.ThedashedcurveexhibitstheupperboundontheneutralHiggsbosonmasswithoutthegaugebosoncontributions.ThesolidcurveexhibitstheupperboundontheneutralHiggsbosonmasswiththepartialcontributionsofthegaugebosons.We ndfromFig2thatmAapproachesmHastanβincreases.Theabsoluteupperboundsonmhwithoutthegaugebosoncontributionsandwiththepartialcontributionsofthegaugebosonsisabout130and150GeVfortanβ=40GeV,respectively.

3.Conclusions

IntheMSSM,analyticformulasfortheradiativelycorrectedmassoftheneutralHiggsbosonarederivedfromthe1-loope ectivepontial.Inouranalysis,thescalar-top-quarkmassinthe1-loope ectivepotentialincludestermsproportionaltothegaugecouplings.TheradiativelycorrectedmassofthepseudoscalarHiggsbosondoesnotchangedbytheinclusionoftermsproportionaltothegaugecouplingsinthescalar-top-quarkmass[7].RadiativecorrectionstothetreelevelmassofthepseudoscalarHiggsbosonleadstoapositivecontributionforµ·At>0inourparameterspace.RadiativecorrectionstothepseudoscalarHiggsbosongiveapositivecontributionofabout90GeVinitsmass.TheformualsfortheradiativelycorrectedmassofthescalarHiggsbosonaredi erentfromthoseofotherpaper[7].Atthe1-looplevel,termsproportionaltogaugecouplingsinthescalar-top-quarkmassgiveasigni cantcontributiontothescalarHiggsbosonmass.Especially,theradiativelycorrectedmassofthelighterscalarHiggsbosoncanbeincreasedbyabout20GeVinfavorofthepartialcontributionsofthegaugebosons.ThuswehaveobtainedtheimprovedabsoluteupperboundonthelighterscalarHiggsbosonmassofabout150GeV.Acknowledgements

ThisworkissupportedinpartbytheBasicScienceResearchInstituteProgram,MinistryofEducation,BSRI-96-2442.

References

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