Next-to-leading order scalar contributions to $\mu \to e$ conversion

Abstract

Within a class of models in which lepton flavor violation is induced dominantly by scalar particle exchanges, we estimate the $\mu \to e$ conversion rate in several nuclei. We include next-to-leading order (NLO) terms in the one- and two-nucleon interactions in chiral effective theory, rectifying some incorrect results in the previous literature. We provide an uncertainty budget for the conversion rates and we find that NLO contributions affect the amplitudes at the level of $10\%$, which could be larger than the uncertainty on the leading order couplings, dominated by the strange and non-strange nucleon sigma terms. We study the implications of our results for testing Higgs-mediated CLFV in the future by combining results from various experimental searches, such as $\mu \to e$ conversion in multiple target nuclei and $\mu \to e\gamma$.

arXiv comment17 pages, 4 figures

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Cited by in corpus (12)

• On the role of isospin violation in the pion-nucleon $\sigma$-term
• Nuclear-level Effective Theory of $\mu \to e$ Conversion: Formalism and Applications
• Improved limits on lepton-flavor-violating decays of light pseudoscalars via spin-dependent $\mu \to e$ conversion in nuclei
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• Indirect constraints on lepton-flavour-violating quarkonium decays
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• Exploring hadronic de-excitation via Lepton Flavor Violation
• Nucleon mass: trace anomaly and $\sigma$-terms