Mu to e gamma and matching at mW

Abstract

Several experiments search for μ- e flavour change, for instance in μ->e conversion, μ-> e γ, and μ-> 3e. This paper studies how to translate these experimental constraints from low energy to a New Physics scale M >> mW. A basis of QCD and QED-invariant operators (as appropriate below mW) is constructed, then run to mW with one-loop RGEs of QCD and QED. At mW, these operators are matched onto SU(2)-invariant dimension-six operators, which can continue to run up with electroweak RGEs. As an example, the μ-> e γbound is translated to the scale M, where it constrains two sums of operators. The constraints differ from those obtained in previous EFT analyses of μ-> e γ, but reproduce the expected bounds on flavour-changing interactions of the Z and the Higgs, because the matching at mW is pragmatically performed to the loop order required to get the "leading" contribution.

minor changes (typos corrected), version accepted for publication

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• Non-Perturbative Effects in $\mu \to e\gamma$
• Completeness and Complementarity for $\mu \to e\gamma$, $\mu \to 3e$ and $\mu \to e$ conversion
• What is Leading Order for LFV in SMEFT?
• Majorana Neutrino Masses in the RGEs for Lepton Flavour Violation
• Low-energy effective field theory below the electroweak scale: one-loop renormalization in the 't Hooft-Veltman scheme
• Probing $\mu e\gamma \gamma$ contact interactions with $\mu \to e$ conversion
• Computing Tools for Effective Field Theories
• Low-energy lepton physics in the MRSSM: $(g-2{)}_{\mu }$, $\mu \to e\gamma$ and $\mu \to e$ conversion
• Constraints on 2l2q operators from $\mu -e$ flavour-changing meson decays
• Gearing up for the next generation of LFV experiments, via on-shell methods
• Studies of Lepton Flavor Violation at the LHC
• Probing Heavy Neutrino Magnetic Moments at the LHC using Long-Lived Particle Searches
• RGE effects on the LFV scale from meson decays
• Nonperturbative effects in neutrino magnetic moments
• Charged lepton flavor violation in light of Muon $g-2$
• Z lepton flavour violation as a probe for new physics at future $e^{+}{e}^{-}$ colliders
• Effective-field theories for charged lepton flavour violation