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

whereMt i(i=1,2)andMtarethe eld-dependentscalar-top-quarkmassesandthe eld-dependenttop-quarkmass,respectively.The eld-dependentmass-squaredofthetop-quarkisgivenby02Mt2=h2(5)t|H2|.

The eld-dependentmass-squaredmatrixofthescalar-top-quarkisgivenasa2×2Hermitianmatrix.TheeigenvaluesoftheHermitianmatrixarethe eld-dependentmass-squaredsofthescalar-top-quark,

Mt2 1,t2=02h2t|H2|+1

82(g1+202g2)(|H1| 02|H2|)

2

+(200 2+h2t|µH1+AtH2|.(m2Qm2T)112202g1)(|H1| 02|H2|)

(7)

Intheaboveequations,htisthetop-quarkYukawacoupling,AtisthetrilinearsoftSUSYbreakingparameter,andmQandmTarethesoftSUSYbreakingscalar-quarkmasses.Thusthemass-squaredofthetop-quarkisgivenas

2m2t=(htvsinβ)(8)

andalsothemass-squaredsofthescalar-top-quarkaregivenas

2m2 1,2=mt+t14

1m2Zcos2βm2W 5

2

3

2(g1,(9)=(g2v)for2wheremt ≤mt andmZ=12+22g2)v/2,mW

whereφiaretheconventionalnotationsfortherealandimaginarypartsoftheHiggs elds.ThesoftSUSYbreakingparametersm1andm2canbeeliminatedbytheminimizationconditions, <V> φi φj ,(11)0>=v,<H0>=v<H1212