Radiative corrections to inverse muon decay for accelerator neutrinos

Tomalak, Oleksandr; Borah, Kaushik; Hill, Richard J.; McFarland, Kevin S.; Ruterbories, Daniel

doi:10.1103/PhysRevD.107.093005

Title: Radiative corrections to inverse muon decay for accelerator neutrinos

Journal Article · Mon May 15 00:00:00 EDT 2023 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.107.093005· OSTI ID:1973716

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Inverse muon decay (ν_μe^–→ν_eμ^–) is a promising tool to constrain neutrino fluxes with energies E_ν≥10.9 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 ν_μe^–→ν_eμ^– and $$\overline{v}$$_ee^–→$$\overline{v}$$_μμ^–. 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 ν_μe^–→ν_eμ^– 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.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Univ. of Rochester, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); Research Corporation for Scientific Advancement; National Science Foundation (NSF)

Grant/Contract Number:: SC0019095; SC0008475; 89233218CNA000001; 20210968PRD4; AC02-07CH11359; 27467; CHE2039044

OSTI ID:: 1973716

Alternate ID(s):: OSTI ID: 1908222; OSTI ID: 1975035; OSTI ID: 2280995; OSTI ID: 2326069

Report Number(s):: LA-UR-22-29964; FERMILAB-PUB-22-900-T; arXiv:2211.15947; PRVDAQ; 093005

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 107 Journal Issue: 9; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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