Improved predictions for $\mu \to e$ conversion in nuclei and Higgs-induced lepton flavor violation

Abstract

Compared to $\mu \to e\gamma$ and $\mu \to eee$, the process $\mu \to e$ conversion in nuclei receives enhanced contributions from Higgs-induced lepton flavor violation. Upcoming $\mu \to e$ conversion experiments with drastically increased sensitivity will be able to put extremely stringent bounds on Higgs-mediated $\mu \to e$ transitions. We point out that the theoretical uncertainties associated with these Higgs effects, encoded in the couplings of quark scalar operators to the nucleon, can be accurately assessed using our recently developed approach based on $SU(2)$ Chiral Perturbation Theory that cleanly separates two- and three-flavor observables. We emphasize that with input from lattice QCD for the coupling to strangeness $f_s^N$, hadronic uncertainties are appreciably reduced compared to the traditional approach where $f_s^N$ is determined from the pion--nucleon $\sigma$-term by means of an $SU(3)$ relation. We illustrate this point by considering Higgs-mediated lepton flavor violation in the Standard Model supplemented with higher-dimensional operators, the two-Higgs-doublet model with generic Yukawa couplings, and the Minimal Supersymmetric Standard Model. Furthermore, we compare bounds from present and future $\mu \to e$ conversion and $\mu \to e\gamma$ experiments.

9 pages, 5 figures, journal version

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Cited by in corpus (6)

• Feynman-Hellmann theorem for resonances and the quest for QCD exotica
• Next-to-leading order scalar contributions to $\mu \to e$ conversion
• Isotope dependence of muon-to-electron conversion
• A way to crosscheck $\mu$-$e$ conversion in the case of no signals of $\mu \to e\gamma$ and $\mu \to 3e$
• Disentangling new physics contributions in lepton flavour violating tau decays
• Challenges for New Physics in the Flavour Sector