Studying lepton flavor violating μ decays with vector leptoquark

We study the charged LFV μ decays such as μ → e γ , μ → eee , and μ − e Ti with a vector leptoquark ( U 3 ) by considering the constraints from non-standard neutrino interaction (NSI) sector parameter ϵ e μ . We consider that these NSIs are attributed to the presence of leptoquarks to account for the difference in the experimental observations of δ CP measurement by NOvA and T2K. In our study, we obtained the branching ratios with uncertainties for three decay modes: B ( μ → e γ ) ≤ 4.6 − 2.6 + 3.8 × 10 − 18 , B ( μ → eee ) ≤ 9.57 − 5.37 + 7.43 × 10 − 21 , B μ → e Ti ≤ 6.89 − 3.89 + 5.61 × 10 − 19 . Our results show an improvement in the current limits, which can be explored in future experiments.