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