Bound muon decay spectrum in the leading logarithmic accuracy

Abstract

We compute the dominant, logarithmically enhanced radiative corrections to the electron spectrum in the bound muon decay in the whole experimentally interesting range. The corrected spectrum fits well the TWIST results. The remaining theoretical error, dominated by the nuclear charge distribution, can be reduced in the muon-electron conversion searches by measuring the spectrum slightly below the New Physics signal window.

arXiv comment6 pages, 5 figures

References in corpus (13)

• On the Motion of Heavy Quarks inside Hadrons: Universal Distributions and Inclusive Decays
• QCD-Based Interpretation of the Lepton Spectrum in Inclusive $\bar{B}\to X_u\ell \bar{\nu }$ Decays
• The Lamb Shift in Dimensional Regularization
• The electron energy spectrum in muon decay through O(alpha^2)
• Muon decay in orbit: spectrum of high-energy electrons
• O(α^2 \ln(m_μ/m_e)) Corrections to Electron Energy Spectrum in Muon Decay
• Muon Decay Spectrum: Leading Logarithmic Approximation
• High-energy electrons from the muon decay in orbit: radiative corrections
• Higher order QED corrections to muon decay spectrum
• Michel decay spectrum for a muon bound to a nucleus
• Decay of negative muons bound in ${}^{27}$Al
• Atomic Alchemy
• Shape function in QED and bound muon decays

Cited by in corpus (10)

• Introduction to Charged Lepton Flavour Violation
• Identifying regions in wide-angle scattering via graph-theoretical approaches
• Isotope dependence of muon-to-electron conversion
• Isotope dependence of muon decay in orbit
• Model identification in ${\mu }^{-}\to e^{-}$ conversion with invisible boson emission using muonic atoms
• Distinguishing charged lepton flavor violation scenarios with inelastic $\mu \to e$ conversion
• Decay of a bound muon into a bound electron
• The Mu2e Experiment -- Searching for Charged Lepton Flavor Violation
• Using Machine Learning to Select High-Quality Measurements
• Comprehensive table of calculated Huff factors