Radiative corrections to inverse muon decay for accelerator neutrinos

Abstract

Inverse muon decay (${\nu }_{\mu }{e}^{-}\to {\nu }_e{\mu }^{-}$) is a promising tool to constrain neutrino fluxes with energies $E_{\nu }\ge 10.9\mathrm{GeV}$. Radiative corrections introduce percent-level distortions to energy spectra of outgoing muons and depend on experimental details. In this paper, we calculate radiative corrections to the scattering processes ${\nu }_{\mu }{e}^{-}\to {\nu }_e{\mu }^{-}$ and ${\bar{\nu }}_e{e}^{-}\to {\bar{\nu }}_{\mu }{\mu }^{-}$. We present the muon energy spectrum for both channels, double-differential distributions in muon energy and muon scattering angle and in photon energy and photon scattering angle, and the photon energy spectrum for the dominant ${\nu }_{\mu }{e}^{-}\to {\nu }_e{\mu }^{-}$ process. Our results clarify and extend the region of applicability of previous results in the literature for the double differential distribution in muon energy and photon energy, and in the muon energy spectrum with a radiated photon above a threshold energy. We provide analytic expressions for single, double and triple differential cross sections, and discuss how radiative corrections modify experimentally interesting observable distributions.

arXiv comment22 pages, 8 figures, version published in Physics Review D

References in corpus (25)

• Automatized One-Loop Calculations in 4 and D dimensions
• New Developments in FeynCalc 9.0
• Solar Neutrinos: Radiative Corrections in Neutrino-Electron Scattering Experiments
• Neutrino Flux Predictions for the NuMI Beam
• QED radiative corrections to virtual Compton scattering
• Neutrino-Electron Scattering Theory
• Measurement of Neutrino Flux from Neutrino-Electron Elastic Scattering
• The electron energy spectrum in muon decay through O(alpha^2)
• Constraint of the MINERvA Medium Energy Neutrino Flux using Neutrino-Electron Elastic Scattering
• Radiative Corrections in Precision Electroweak Physics: a Historical Perspective
• Theory of elastic neutrino-electron scattering
• Neutrino-electron elastic scattering for flux determination at the DUNE oscillation experiment
• Small-mass effects in heavy-to-light form factors
• On the effective theory of neutrino-electron and neutrino-quark interactions
• QED radiative corrections for accelerator neutrinos
• Measurements of the Inclusive Neutrino and Antineutrino Charged Current Cross Sections in MINERvA Using the Low-$\nu$ Flux Method
• QED Corrections to Neutrino Electron Scattering
• First Order Radiative Corrections to Polarized Muon Decay Spectrum
• Radiative Corrections to Neutrino Deep Inelastic Scattering Revisited
• A subtraction scheme for massive QED
• Improved constraint on the MINERvA medium energy neutrino flux using $\bar{\nu }{e}^{-}\to \bar{\nu }{e}^{-}$ data
• Constraining the NuMI neutrino flux using inverse muon decay reactions in MINERvA
• Soft-photon corrections to the Bethe-Heitler process in the $\gamma p\to l^{+}{l}^{-}p$ reaction
• Radiative (anti)neutrino energy spectra from muon, pion, and kaon decays
• Two-Loop master integrals for heavy-to-light form factors of two different massive fermions