Lepton-flavor violation in the left-right supersymmetric standard model

TL;DR

This paper investigates charged lepton-flavor violation in the left-right supersymmetric model, showing that new particles and interactions can significantly enhance CLFV processes beyond predictions of other SUSY models.

Contribution

It provides a detailed analysis of CLFV processes in LRSSM, highlighting the impact of new gauge interactions and particles, and offers a theoretical basis for experimental searches for LFV phenomena.

Findings

New contributions from $SU(2)_R$ gauge interaction significantly affect CLFV processes.

Additional particles like $Z'$ boson and doubly-charged Higgses enhance LFV signals.

Results differ markedly from other supersymmetric models.

Abstract

In the Standard Model (SM), the charged lepton-flavor violation (CLFV) processes are forbidden, so the observation of CLFV represents a clear signal of new physics that goes beyond the Standard Model. In this work, we focus on the CLFV processes $l_{j}^{-}\to l_{i}^{-}\gamma $ and $l_{j}^{-}\to l_{i}^{-}l_{i}^{-}l_{i}^{+}$ in LRSSM. Considering the constraints of the updated experimental datas, the numerical results show that the new contributions of $SU{{\left( 2 \right)}_{R}}$ gauge interaction and a large number of other new particles, such as ${{Z}^{'}}$ boson, double-charged Higgs-bosons in LRSSM can make significant contributions to the CLFV processes $l_{j}^{-}\to l_{i}^{-}\gamma $ and $l_{j}^{-}\to l_{i}^{-}l_{i}^{-}l_{i}^{+}$, which is much different from the ones predicted in other SUSY models. This work provide a theoretical base for finding the LFV phenomena in new physics.