High-energy electrons from the muon decay in orbit: radiative corrections

Abstract

We determine the $\mathcal{O}(\alpha )$ correction to the energy spectrum of electrons produced in the decay of muons bound in atoms. We focus on the high-energy end of the spectrum that constitutes a background for the muon-electron conversion and will be precisely measured by the upcoming experiments Mu2e and COMET. The correction suppresses the background by about 15\%.

7 pages, v2: corrected and improved version

References in corpus (5)

• FIRE5: a C++ implementation of Feynman Integral REduction
• Muon decay in orbit: spectrum of high-energy electrons
• Michel decay spectrum for a muon bound to a nucleus
• Decay of negative muons bound in ${}^{27}$Al
• Shape function in QED and bound muon decays

Cited by in corpus (11)

• COMET Phase-I Technical Design Report
• Coherent $\mu -e$ Conversion at Next-to-Leading Order
• Bound muon decay spectrum in the leading logarithmic accuracy
• Low-energy lepton physics in the MRSSM: $(g-2{)}_{\mu }$, $\mu \to e\gamma$ and $\mu \to e$ conversion
• Isotope dependence of muon-to-electron conversion
• Improved analysis for ${\mu }^{-}{e}^{-}\to e^{-}{e}^{-}$ in muonic atoms by photonic interaction
• Isotope dependence of muon decay in orbit
• Distinguishing charged lepton flavor violation scenarios with inelastic $\mu \to e$ conversion
• A Search for Charged Lepton Flavor Violation in the Mu2e Experiment
• A New Determination of the (Z,A) Dependence of Coherent Muon-to-Electron Conversion
• Comprehensive table of calculated Huff factors