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Title: Radiative corrections to inverse muon decay for accelerator neutrinos

Journal Article · · Physical Review. D.

Inverse muon decay (νμe→νeμ) is a promising tool to constrain neutrino fluxes with energies Eν≥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 νμe→νeμ 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 νμe→νeμ 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.

Research Organization:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (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:
AC02-07CH11359; 89233218CNA000001; SC0019095; SC0008475
OSTI ID:
1908222
Alternate ID(s):
OSTI ID: 2326069; OSTI ID: 1973716; OSTI ID: 1975035; OSTI ID: 2280995
Report Number(s):
LA-UR-22-29964; FERMILAB-PUB-22-900-T; arXiv:2211.15947; oai:inspirehep.net:2605170
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 9 Vol. 107; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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