The Study Of μ→e+q(?) And The Neutrino Masses Within The BLMSSM

Physicists have been trying hard to unify strong interaction,weak interaction,electromagnetic interaction and gravitational interaction.Since the 1960s,Weinberg,Glashow and Salam et al.established the electroweak unification theory by unifying the weak interaction and electromagnetic interaction on the basis of the gauge group SU(2)×U(1).On this basis,physicists added the quantum chromodynamics(QCD)describing strong interactions to it,and finally got the standard model of particle physics(SM)under the framework of gauge group SU(3)C × SU(2)L × U(1)Y.The Higgs particle finally confirmed the correctness of the standard model and further improved SM.Meanwhile,in the field of high energy physics,new particle physics phenomena were being discovered.Among them,the Daya Bay neutrino oscillation experiment was particularly eye-catching,and its experimental results also show that neutrinos have a small mass.This fact goes beyond the theoretical framework of the standard model.Other experimental facts also show the limitations of SM theory.The defects of the standard model of particle physics themselves suggest the existence of new physics beyond the standard model.The Minimal Supersymmetric Standard Model(MSSM),as the simplest supersymmetry,can explain of level problems,make sure that gauge coupling constants are unified at higher energies,also can give the dark matter candidate.To find the new particles which MSSM predicted,the large hadron collider has collected vast amounts of data.However,the previous experiment detection is mainly on the basis of R parity conservation assumption.Based on the experimental results of the LHC,some bigger than the minimal supersymmetric models of supersymmetric model had also been continuously put forward,especially based on R parity broken mechanism model was also proposed.In the Standard Model,R parity is conserved,and in the Minimal Supersymmetric Standard Model,R parity is conserved too.R parity is introduced to keep the proton stable.At the level of renormalization,R parity conservation prohibits the violation of baryon and lepton Numbers.Cosmological observations suggest that baryon and antibaryon Numbers should be out of balance.But according to the big bang theory,the early universe produced equal amounts of matter and antimatter.Sakharov et al.pointed out that there are three possible reasons for such results:1.Baryon number has a violation effect;2.There is CP asymmetry;3.Thermal balance has deviation effect.The baryon number is conserved in SM at the perturbation level.Although the baryon number is violated at the non-perturbation level due to the weak interaction of quantum effect,the destruction is too small to explain the asymmetry of antimatter.Moreover,neutrinos have no mass and only participate in weak interactions,either in SM or in MSSM.But neutrino experiments show that not only do they have a small mass,but that different generations of neutrinos can mix with each other.For these two reasons,both SM and MSSM need to be extended in theory.In recent years,around TeV energy scale a supersymmetric extension of the standard model with local gauged baryon and lepton numbers(BLMSSM)had been proposed on the basis of the gauge group SU(3)C(?)SU(2)L(?)U(1)Y(?)U(1)B(?)U(1)L,where B represents baryon number and L represents lepton number.In this theoretical model,baryon number and lepton number around TeV energy scale can be broken spontaneously.Baryon number breaking can solve the problem of antimatter asymmetry in the universe,and lepton number breaking can solve the problem of neutrinos with small mass.BLMSSM is one of the most popular new physical models.Its phenomenological nature has always been a hot topic in theoretical research.In this paper,the flavor violation process of charged lepton in nucleus is studied in the framework of BLMSSM.In this process,we considered some new parameters and new contributions,such as the newly introduced parameters,gL,tan βL,VLt and so on.After detailed numerical analysis,we found that:1.different parameters have different effects on the μ→e processes.The parameter gL presents in the mass squared matrices of sleptons,sneutrinos and lepton neutralinos.Numerical analysis shows that gL has obvious influence on the results,the value of gL should not be too large.As sensitive parameters,Sm and MLf are respectively diagonal and non-diagonal elements of matrixes for mL and mR.Both Sm and MLf have significant impacts on the results.tanβ is related to vu and vd,and appears in almost all mass matrices of particles contributing to the,μ→e processes.The value of tanβ is critical to these processes.2.The numerical results indicate that the μ→e conversion rates in nuclei within the BLMSSM can reach the experimental upper bound.3.With the improvement of experimental accuracy,we believe that there will be some discoveries for μ to e conversion in the near future.The BLMSSM model and the mass insertion approximation are used to study the single-loop correction of the neutrino mixture matrix.The obtained one loop corrections include:1.the virtual slepton-chargino corrections;2.the virtual sneutrino-lepton neutralino corrections;3.the virtual sneutrino-neutralino corrections;4.the virtual Higgs-charged lepton corrections;5.the exotic Higgs-neutrino corrections.We get the sum of the tree and one loop contributions to the neutrino mixing matrix.The one loop corrected effective light neutrino mass matrix Mveff is deduced.Using the "top-down" method,we give the formulae for the neutrino masses and mixing angles.For neutrino mass spectrum,both NO and IO conditions are discussed numerically.In our used parameter space,the obtained numerical results for the neutrino three mixing angles and two mass squared differences can account for the corresponding experiment data.Our results imply that the light neutrino masses are at the order of 10-1 eV.The results provide more strict parameter space constraint for BLMSSM model.