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1、SHEP-92/93-20hep-ph/9305218RADIATIVECORRECTIONSTOSUPERSYMMETRICHIGGSBOSONMASSES∗PeterL.WhitePhysicsDepartment,UniversityofSouthampton,SouthamptonS095NH,UK.ABSTRACTWediscussthelargeradiativecorrectionstothemassesofsupersymmetricHiggsbosonsintheMSSMandinitssimplestextensio
2、n,theNMSSM,withparticularattentionpaidtotheboundsonthelightestCP-evenHiggsmassfoundinbothmodels.InthecaseoftheMSSM,thesecorrectionsarefoundtobeprimarilyassociatedwiththeeffectstopquarkandstopsquarkloops,whileforextendedmodelstheyalsoincludesignificantcontributionsfromHiggs
3、andHiggsinoloops.1.Introduction-SUSYHiggsBosonsatTreeLevel1.1.MSSMTheMinimalSupersymmetricStandardModel[1](MSSM)isthesimplestpossiblesupersymmetrictheorywhichsymmetrybreakingcanreducetotheStan-dardModel.ItcontainsnotonlytheusualfermionicsectorwithSU(3)×SU(2)×U(1)gaugebos
4、onsplustheirsuperpartners,butalsotwosupermultipletsofHiggsdou-blets.ThisistheminimumHiggssectorwhichallowsforthecorrectelectro-weakarXiv:hep-ph/9305218v16May1993breakingstructureandmasscouplings,becausesupersymmetrybothforcesthein-clusionofhiggsinos,whichcauseanomalieswh
5、ichcannotbecancelledwithonlyonedoublet,andrestrictsthepossibleYukawacouplingsbetweenHiggsesandfermions.WeshallusetheconventionthatthetwodoubletsarelabelledH1andH2,withH2couplingtotheuptypequarks.ThesuperpotentialisthengivenbyW=huQH2u+hdQH1d+heLH1e+µH1H2(1)wherewehaveonly
6、shownonegeneration.Whensupersymmetryisbroken,theresultingscalarpotentialacquiressoftbreakingtermsoftheformXV=m2
7、φ2
8、+hAQHu+hAQHd+hALHe+µBHH(2)softiiuu2dd1ee112iwherethesumisoverallspin0particles,andweusetheusualconventionofusingthesamelabelforthescalarsasforthefullsupermu
9、ltiplet.∗talkpresentedatSUSY-93,Boston,March19931WithtwodoubletsweshallhavemorephysicalHiggsparticles–twoCP-even(labelledhforthelighterandHfortheheavier),oneCP-odd(oraxial,labelledA),andonecharged(labelledH+)–inadditionaltotheusualGoldstonemodes.Itissimpletoderivethefoll
10、owingHiggspotentialfromthelagrangian:λ1†2λ2†2†††2VHiggs=(H1H1)+(H2H2)+(λ3+λ4)(H1H1)(H2H2)−λ4
11、H2H1
12、22+m2
