Isotope dependence of muon decay in orbit

Abstract

The decay ${\mu }^{-}\to e^{-}{\bar{\nu }}_e{\nu }_{\mu }$ of a muon that is bound to a nucleus poses an unavoidable background for experiments such as Mu2e, COMET, and DeeMe searching for lepton-flavor-violating ${\mu }^{-}\to e^{-}$ conversion and thus requires a precise understanding. We calculate the electron-energy spectra of muon decays in orbit near the electron energy endpoint for all stable isotopes and estimate uncertainties due to the nuclear charge distribution. Our results enable background studies of mixed or enriched target materials that are necessary for the next generation of ${\mu }^{-}\to e^{-}$ conversion experiments.

arXiv comment13 pages, matches PRD version; table included as ancillary file

References in corpus (16)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei
• Charged Lepton Flavor Violation: An Experimenter's Guide
• COMET Phase-I Technical Design Report
• Renormalisation-group improved analysis of $\mu \to e$ processes in a systematic effective-field-theory approach
• On the model discriminating power of mu -> e conversion in nuclei
• Mu2e Technical Design Report
• Muon decay in orbit: spectrum of high-energy electrons
• Selecting mu -> e Conversion Targets to distinguish Lepton Flavour-Changing Operators
• Spin-dependent $\mu \to e$ Conversion on Light Nuclei
• Coherent muon-electron conversion in muonic atoms
• High-energy electrons from the muon decay in orbit: radiative corrections
• Completeness and Complementarity for $\mu \to e\gamma$, $\mu \to 3e$ and $\mu \to e$ conversion
• Coherent $\mu -e$ Conversion at Next-to-Leading Order
• Bound muon decay spectrum in the leading logarithmic accuracy
• Muon decay in orbit spectra for muon-electron conversion experiments

Cited by in corpus (5)

• Isotope dependence of muon-to-electron conversion
• Lepton pair production in muon-nucleus scattering
• Theory for the MUonE experiment
• A New Determination of the (Z,A) Dependence of Coherent Muon-to-Electron Conversion
• Comprehensive table of calculated Huff factors