Abstract
These proceedings review the status of present and future bounds on muonic lepton flavour violating transitions in the context of an effective-field theory defined below the electroweak scale. A specific focus is set on the phenomenology of μ → eγ, μ → 3e transitions and coherent μ → e nuclear conversion in the light of current and future experiments. Once the experimental limits are recast into bounds at higher scales, it is shown that the interplay between the various experiments is crucial to cover all corners of the parameter space.
Highlights
Lepton flavour violation (LFV) is strongly suppressed in the framework of the Standard Model (SM) of particle physics
Once the experimental limits are recast into bounds at higher scales, it is shown that the interplay between the various experiments is crucial to cover all corners of the parameter space
Given that the expressions for the rates of the processes μ+ → e+γ, μ+ → e+e−e+, and coherent muon-to-electron conversion in muonic atoms μ−N → e−N will be exploited in the forthcoming section, we present them in terms of the effective coefficients
Summary
Lepton flavour violation (LFV) is strongly suppressed in the framework of the Standard Model (SM) of particle physics. Various experiments are already planned to improve these values by orders of magnitude: the MEG II upgrade [5] with an expected sensitivity of Br(μ → eγ) ∼ 5 × 10−14, the Mu3e experiment [6] with an improvement up to four orders of magnitude with respect to SINDRUM, and Mu2e at FNAL and COMET at J-PARC [7,8,9] aiming to improve the sensitivity by four orders of magnitude compared with SINDRUM II These experimental efforts have to be supported both by an accurate theoretical interpretation of possible signals (or absence of signals) in terms of viable NP parameter space and a precise determination of the fundamental backgrounds. This note summarises the main results obtained in [25, 26], where the EFT parameterisation introduced by [16] was adopted to recast the current and future experimental limits on muonic LFV transitions in terms of bounds on the NP parameter space at the electroweak (EW) energy scale by exploiting a systematic renormalisation-group-equation (RGE) analysis
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