Data-driven study of the implications of anomalous magnetic moments and lepton flavor violating processes of $e$, $\mu$ and $\tau$

Abstract

We study anomalous magnetic moments and flavor violating processes of $e$, $\mu$ and $\tau$ leptons. We use a data driven approach to investigate the implications of the present data on the parameters of a class of models, which has spin-0 scalar and spin-1/2 fermion fields. We compare two different cases, which has or does not have a built-in cancelation mechanism. Our findings are as following. Chiral interactions are unable to generate large enough $\Delta a_e$ and $\Delta a_{\mu }$ to accommodate the experimental results. Sizable $\Delta a_e$ and $\Delta a_{\mu }$ can be generated from non-chiral interactions, but they are not contributed from the same source. The upper limit of $\mu \to e\gamma$ decay gives the most severe constraints on photonic penguin contributions in $\mu \to e$ transitions, but the situation may change in considering future experimental sensitivities. The $Z$-penguin diagrams can constrain chiral interaction better than photonic penguin diagrams in $\mu \to e$ transitions. In most of the parameter space, box contributions to $\mu \to 3e$ decay are subleading. In $\tau \to e$ $(\mu )$ transitions, the present $\tau \to e\gamma$ $(\mu \gamma )$ upper limit constrains the photonic penguin contribution better than the $\tau \to 3e$ $(3\mu )$ upper limit, and $Z$-penguin amplitudes constrain chiral interaction better than photonic penguin amplitudes. Box contributions to $\tau \to 3e$ and $\tau \to 3\mu$ decays can sometime be comparable to $Z$-penguin contributions. The ${\tau }^{-}\to e^{-}{\mu }^{+}{e}^{-}$ and ${\tau }^{-}\to {\mu }^{-}{e}^{+}{\mu }^{-}$ rates are highly constrained by $\tau \to e\gamma$, $\mu \to e\gamma$ and $\tau \to \mu \gamma$, $\mu \to e\gamma$ upper limits, respectively. We compare the current experimental upper limits, future sensitivities and bounds from consistency on various muon and tau LFV processes.

To appear in Phys. Rev. D; 43 pages, 12 figures

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• Electron and Muon Anomalous Magnetic Moments in the Inverse Seesaw Extended NMSSM
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