The gauge boson contributions to the radiatively corrected m(3)

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

theHiggsbosonareincluded,thesymmetricpropertyoftheneutralHiggsbosonmassunderinterchangecosβ sinβisbroken[3].

Inthispaper,wecalculatetheradiativelycorrectedmassoftheneutralHiggsbosonintheframeworkoftheMSSM.Especially,weconsiderthegaugebosoncontributionstotheneutralHiggsbosonmassatthe1-looplevel.Thatis,wetakethescalar-top-quarkmasswhichcontainstermsproportionaltothegaugecouplingsinthe1-loope ectivepotential.ThenwederiveanalyticformulasfortheradiativelycorrectedmassoftheneutralHiggsboson.TheradiativelycorrectedmassofthepseudoscalarHiggsbosondoesnotchangedbytheinclusionoftermsproportionaltothegaugecouplingsinthescalar-top-quarkmass.Ontheotherhand,theradiativelycorrectedmassofthescalarHiggsbosoncanbeimprovedbytheinclusionoftermsproportionaltothegaugecouplingsinthescalar-top-quarkmass.Atthe1-looplevel,theimprovedmassofthescalarHiggsbosonpartiallycontainsthegaugebosoncontributions.

2.TheHiggsbosonmassspectra

IntheMSSM,thetreelevelHiggspotentialincludingthesoftsupersymmetry(SUSY)breakingtermsisgivenby

2222Vtree=m21|H1|+m2|H2| m3(H1H2+H.c.)1 +|H1H2|2,2(1)

whereg1andg2aretheU(1)andSU(2)gaugecouplingconstants,respectively,and

00H1H2=H1H2 H H+.Weassumethatmi(i=1,2,3)>0.

The1-loope ectivepotentialincludingthe eld-dependentmass-squaredmatrixM2ofthescalar-top-quark[4]is

V1 loop=1

Λ2 3

32π4logMt i2 2Mt i

2 3

Λ2 3