Exploring hadronic de-excitation via Lepton Flavor Violation

Abstract

In this work, we consider a hadronic de-excitation mechanism via lepton flavor violation (LFV). Namely, for vector and pseudoscalar meson decays of the form $V^{\prime }\to V\mu e$ and $P^{\prime }\to P\mu e$, respectively. They are described considering effective dim-5 and dim-7 operators. Using the current bounds for the effective couplings obtained from direct processes, we exhibit the different features in the dilepton invariant mass distribution and the branching ratios, depending on the effective operator. We consider hadronic states, from light mesons to quarkonia. We show that the branching ratios of quarkonia system for LFV are comparable with the estimates in other hadronic systems. Our results show that the dilepton invariant mass may be useful to constrain individual contributions and help disentangle them, when complemented with observables from nuclei.

Comments: 8 pages, 8 figures, 7 tables. In v3 we extended the discussion and added two more tables. This version matches the one published in IJMPA