Reach and complementarity of $\mu \to e$ searches

Abstract

In Effective Field Theory, we describe $\mu \leftrightarrow e$ flavour changing transitions using an operator basis motivated by experimental observables. In a six-dimensional subspace probed by $\mu \to e\gamma$, $\mu \to 3e$ and $\mu \to e$ conversion on nuclei, we derive constraints on the New Physics scale from past and future experiments, illustrating the complementarity of the processes in an intuitive way. We also recall that a precise determination of the scalar quark currents in the nucleon will be required to distinguish scalar $\mu \to e$ interactions on u-quarks from those on d-quarks.

improved kappa definition, minor corrections, fig 3 replaced; corresponds to published version + erratum

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Cited by in corpus (11)

• On the role of isospin violation in the pion-nucleon $\sigma$-term
• Improved limits on lepton-flavor-violating decays of light pseudoscalars via spin-dependent $\mu \to e$ conversion in nuclei
• Flavour bounds on the flavon of a minimal and a non-minimal ${\mathcal{Z}}_2\times {\mathcal{Z}}_N$ symmetry
• Uncertainty quantification for $\mu \to e$ conversion in nuclei: charge distributions
• Ab initio calculations of overlap integrals for $\mu \to e$ conversion in nuclei
• Finding flavons at colliders
• Gauge $SU(2{)}_f$ flavour transfers
• A New Determination of the (Z,A) Dependence of Coherent Muon-to-Electron Conversion
• Matter Unification and Lepton Flavour Violation
• Nucleon mass: trace anomaly and $\sigma$-terms
• Lepton Flavor Violation and Local Lepton Number