The Muon and Tau Electric Dipole Moments in the B-L Supersymmetric Standard Model

Abstract

Recently proposed experiments are expected to significantly improve the measurement sensitivities of the electric dipole moments (EDMs) of muon ($d_\mu$) and tau ($d_\tau$). Given that theoretical predictions for $d_\mu$ and $d_\tau$ typically surpass those for the electron EDM, this work focuses on studying the contributions from the CP-violating (CPV) effects in the B-L supersymmetric (SUSY) standard model (B-LSSM) to $d_\mu$ and $d_\tau$. After considering the corrections from some two-loop diagrams, the contributions in the B-LSSM to the EDMs of charged leptons are presented analytically in general forms. The numerical results show that the traditional $\mu$-term in most SUSY models makes dominant contributions to $d_\mu$ and $d_\tau$, while the B-LSSM specific CPV parameters also induce significant effects. It is found that across a substantial region of the B-LSSM parameter space, $d_\mu$ falls well within the projected sensitivity at Phase II of the proposed experiment, and $|d_\tau|$ can reach about $10^{-21}e\cdot\text{cm}$.