Lepton flavor violating $Z$-boson couplings from non-standard Higgs interactions

Abstract

The Standard Model predicts that the Higgs boson couples to the fermions in the mass eigenstates. We consider the effects of lepton flavor violating (LFV) $Z$ boson couplings in the case where the Higgs boson has flavor non-diagonal Yukawa interactions with the muon and the tau lepton generated from physics beyond the Standard Model. We list the formulae of the couplings of the effective interactions among the $\tau$ lepton, the muon and the $Z$ boson. Using these formulae, we calculate the branching fractions of various leptonic and hadronic LFV $\tau$ decays, and the LFV $Z$ boson decay: $Z\to \tau \mu$. Although the $Z$-boson contributions to LFV tau decays cannot be ignored in terms of the counting of operator dimensions or chirality flipptings, it turns out that they are not very significant for $\tau \to 3\mu$ and $\tau \to \mu \rho$ decays. We also calculate the branching fractions of the processes, $\tau \to \mu \pi$, $\tau \to \mu {\eta }^{(\prime )}$ and $\tau \to \mu a_1$, which are dominated by the $Z$-boson exchanges due to the spin and the parity of the hadrons.

24 pages, 10 figures

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Cited by in corpus (14)

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• Hunting the Flavon
• $\tau$- and $\mu$-physics in a general two Higgs doublet model with $\mu -\tau$ flavor violation
• Leptoquark explanation of $h\to \mu \tau$ and muon $(g-2)$
• Mu to e gamma and matching at mW
• The ATLAS Diboson Resonance in Non-Supersymmetric SO(10)
• Flavour bounds on the flavon of a minimal and a non-minimal ${\mathcal{Z}}_2\times {\mathcal{Z}}_N$ symmetry
• Constraining Lepton Flavor Violating Higgs Couplings at the HL-LHC in the Vector Boson Fusion Channel
• Flavor-Changing Higgs Decays in Grand Unification with Minimal Flavor Violation
• Finding flavons at colliders
• Lepton Flavour Violation in Hadron Decays of the Tau Lepton within the Littlest Higgs Model with T-parity
• Z lepton flavour violation as a probe for new physics at future $e^{+}{e}^{-}$ colliders
• Improved Bounds and Global Fit of Flavor-Violating Charged Lepton Yukawa Couplings post LHC
• Novel and Updated Bounds on Flavor-Violating Z Interactions in the Quark Sector