Lepton flavor violating decays of vector quarkonia and of the $Z$ boson

Abstract

We address the impact of sterile fermions on the lepton flavor violating decays of quarkonia as well as of the $Z$ boson. We compute the relevant Wilson coefficients and show that the $\mathrm{B}(V\to {\ell }_{\alpha }{\ell }_{\beta })$, where $V=\varphi ,{\psi }^{(n)}$, ${{\rm Y}}^{(n)},Z$ can be significantly enhanced in the case of large sterile fermion masses and a non-negligible active-sterile mixing. We illustrate that feature in a specific minimal realization of the inverse seesaw mechanism, known as $(2,3)$-ISS, and in an effective model in which the presence of non-standard sterile fermions is parameterized by means of one heavy sterile (Majorana) neutrino.

arXiv comment23 pages, 7 figures, (published version)

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