The study of lepton EDMs in $U(1{)}_X$ SSM

Abstract

The minimal supersymmetric extension of the standard model (MSSM) is extended to the $U(1{)}_X$SSM, whose local gauge group is $SU(3{)}_C\times SU(2{)}_L\times U(1{)}_Y\times U(1{)}_X$. To obtain the $U(1{)}_X$SSM, we add the new superfields to the MSSM, namely: three Higgs singlets $\hat{\eta },\hat{\bar{\eta }},\hat{S}$ and right-handed neutrinos ${\hat{\nu }}_i$. The CP violating effects are considered to study the lepton electric dipole moment(EDM) in $U(1{)}_X$SSM. The CP violating phases in $U(1{)}_X$SSM are more than those in the standard model(SM). In this model, some new parameters $({\theta }_S,{\theta }_{B{B}^{\prime }},{\theta }_{BL})$ as CP violating phases are considered, so there are new contributions to lepton EDMs. It is conducive to exploring the source of CP violation and probing new physical beyond SM.

23 pages,12 figures