Effect of FCNC mediated Z boson on lepton flavor violating decays

Abstract

We study the three body lepton flavor violating (LFV) decays ${\mu }^{-}\to e^{-}{e}^{+}{e}^{-}$, ${\tau }^{-}\to l_i^{-}{l}_j^{+}{l}_j^{-}$ and the semileptonic decay $\tau \to \mu \varphi$ in the flavor changing neutral current (FCNC) mediated $Z$ boson model. We also calculate the branching ratios for LFV leptonic B decays, $B_{d,s}\to \mu e$, $B_{d,s}\to \tau e$, $B_{d,s}\to \tau \mu$ and the conversion of muon to electron in Ti nucleus. The new physics parameter space is constrained by using the experimental limits on ${\mu }^{-}\to e^{-}{e}^{+}{e}^{-}$ and ${\tau }^{-}\to {\mu }^{-}{\mu }^{+}{\mu }^{-}$. We find that the branching ratios for $\tau \to eee$ and $\tau \to \mu \varphi$ processes could be as large as $\sim \mathcal{O}(10^{-8})$ and $\mathrm{Br}{B}_{d,s}\to \tau \mu ,\tau e)\sim \mathcal{O}(10^{-10})$. For other LFV B decays the branching ratios are found to be too small to be observed in the near future.

15 pages, 8 figures, typos corrected, one more section added, version to appear in EPJC

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Cited by in corpus (10)

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• Cosmological and Particle Physics Constraints on a New Non-Abelian SU(3) Gauge Model for Ordinary/Dark Matter Interaction
• Implication of Z-mediated FCNC on semileptonic decays $B_s\to \varphi l^{+}{l}^{-}$ and $B^{+}\to K^{+}{l}^{+}{l}^{-}$
• Testing lepton flavor universality in terms of data of BES III and charm-tau factory
• $CP$ violation in the $HZZ$ vertex and left-right asymmetries
• Non-diagonal contributions to $Z\gamma V^{\ast }$ vertex, polarizations and bounds on $Z\overline{t}q$ couplings
• A new anomaly free flipped 341 model