The gauge boson contributions to the radiatively corrected m(4)

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