Studying lepton flavor violating decays with vector leptoquark

We study the charged LFV mu decays such as mu -> e gamma, mu -> eee, and m-eTi with a vector leptoquark (U3) by considering the constraints from non-standard neutrino interaction (NSI) sector parameter & ograve; e mu. We consider that these NSIs are attributed to the presence of leptoquarks to account for the difference in the experimental observations of delta CP measurement by NOvA and T2K. In our study, we obtained the branching ratios with uncertainties for three decay modes: B(mu(sic)e gamma)<= 4.6(-2.6)(x)(+3.8 ) 10(-18) B(mu(sic)eee)<= 9.57(-5.37)(x)(+37.43) 10(-21 ), B(mu(sic)e)(Ti)<= 6.89(--3.89)(+5.61) (-19)(x 10) Our results show an improvement in the current limits, which can be explored in future experiments.