Phenomenological Studies In The Extended MSSM

Although the Minimal Supersymmetric Standard Model(MSSM)can explain some prob-lems successfully,the neutrino mass problem,the ? problem and the hierarchy problem,still can not be explained naturally.This requires one to extend the Minimal Supersymmetric Standard Model.In chapter ?,some Minimal Supersymmetric extension models will be studied,includ-ing BLMSSM,EBLMSSM and B-LSSM.The corresponding superpotentials,soft breaking terms,mass matrices and interaction Lagrangian will be analyzed.These will be a preparation for the phenomenological studies in later chapters.Experiments have shown that any signals of charged lepton flavor violating indicate a new physics beyond the Standard Model.Therefore,in the chapter ?,some lepton flavor violating processes in the extension Minimal Supersymmetric model will be studied.Which are:rare decay Z?li±lj(?)and vector meson decays V?li±lj(?)(V=?,J/?,?,?0,?)in BLMSSM;In EBLMSSM,the rare decay lj-?li-?,?-e conversion in nuclear,rare ? decay and rare decay h0?li±lj(?)will be studied.The lepton magnetic dipole moments can be used not only to accurately test quantum electrodynamics(QED),but also to test the Standard Model.Therefore,it is necessary to study the lepton magnetic dipole moments.In addition,the origin and mechanism of CP violation have not been well explained up to now.The study of lepton electric dipole moments(EDM)will be helpful to explain the origin of CP violation.The theoretical prediction of the lepton electric dipole moments in Standard Model is too small to be detected by current experiments.The two-loop corrections of lepton electric dipole moments and magnetic dipole moments will be discussed specifically in Chapter ? within the EBLMSSM.Which lead one find new physics beyond the Standard Model,and explain the CP violation problem.In Chapter V,the gravitational wave spectrum produced by the B-LSSM will be studied.The existence of gravitational wave signals prompts physicists to explore the mysteries of the universe.In the early universe,gravitational wave signals may originate from strong first-order phase transitions.However,the electroweak phase transitions in Standard Model are too weak to generate gravitational waves.So,under the extension Standard Model,physicists have s-tudied the gravitational wave spectrums.In the B-LSSM,the corresponding first-order phase transition and its generated gravitational wave spectrum will be studied.The gravitational wave spectrum in the B-LSSM is excepted to be observed by future experiments such as the LISA with N2A5M5L6 design configurations,the Big Bang Observer(BBO),DECi-hertz Interferom-eter Observatory(DECIGO)and the Ultimate-DECIGO experiments.Finally,the naturalness of BLMSSM and B-LSSM will be discussed in Chapter VI.The physical Higgs boson mass can be obtained in BLMSSM and B-LSSM by one-loop correction of stop quark.The Higgs boson decays h0???,h0?VV*(V=Z,W)and h0? ff(f=b,?)will be studied in BLMSSM and B-LSSM.The ratios of the signal strengths from the Higgs boson decay channels in BLMSSM and B-LSSM,as well as some related particle mass spectrums,will be analyzed by the numerical discussion method of the ?2 analyses.