Exclusions on $Z^{\prime }$ mass and its non-universal couplings in LFV decays

Abstract

This letter presents a phenomenological analysis for the lepton ($l_i^{}$) decaying into $l_j^{}{l}_k^{}{\bar{l}}_k^{},l_j^{}{\pi }^{+}{\pi }^{-}$ considering family non-universal couplings as source of the lepton flavor-violating (LFV) currents and a new neutral gauge boson ($Z^{\prime }$) as mediator in the flavor-changing. The most viable $g_V^{f_i{f}_J}$ and $g_A^{f_i{f}_j}$ couplings are reported as long as derive new bounds for the $M_{Z^{\prime }}^{}$ by using current results from LHC and a phenomenological analysis.

Comments: Version two I added references, a new plot and corrected typos. Results unchanged. 7 pages, 10 figures