Lepton flavor violating decays ofBandKmesons in models with extended gauge group

Abstract

Lepton flavor violating (LFV) decays are forbidden in the Standard Model (SM) and to explore them one has to go beyond it. The flavor changing neutral current induced lepton flavor conserving and LFV decays of [Formula: see text] and [Formula: see text] mesons is discussed in the gauge group [Formula: see text]. The lepto-quark [Formula: see text] corresponding to gauge group [Formula: see text] allows the quark–lepton transitions and hence giving a framework to construct the effective Lagrangian for the LFV decays. The mass of lepto-quark [Formula: see text] provides a scale at which the gauge group [Formula: see text] is broken to the SM gauge group. Using the most stringent experimental limit [Formula: see text], the upper bound on the effective coupling constant [Formula: see text] is obtained for certain pairing of lepton and quark generations in the representation [Formula: see text] of the group [Formula: see text]. Later, the effective Lagrangian for the LFV meson decays for the gauge group [Formula: see text] is constructed. Using [Formula: see text], the bound on the ratio of effective couplings is obtained to be [Formula: see text]. A number of decay modes are discussed which provide a promising area to test this model in the current and future particle physics experiments.