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Title: Radiative corrections to inverse muon decay for accelerator neutrinos

Abstract

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.

Authors:
ORCiD logo; ORCiD logo; ORCiD logo; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
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 Org.:
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)
OSTI Identifier:
1973716
Alternate Identifier(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
Journal ID: ISSN 2470-0010; PRVDAQ; 093005
Grant/Contract Number:  
SC0019095; SC0008475; 89233218CNA000001; 20210968PRD4; AC02-07CH11359; 27467; CHE2039044
Resource Type:
Published Article
Journal Name:
Physical Review. D.
Additional Journal Information:
Journal Name: Physical Review. D. Journal Volume: 107 Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; electroweak radiative corrections; neutrino interactions; neutrino oscillations; nucleus-neutrino interactions; quantum electrodynamics; neutrinos

Citation Formats

Tomalak, Oleksandr, Borah, Kaushik, Hill, Richard J., McFarland, Kevin S., and Ruterbories, Daniel. Radiative corrections to inverse muon decay for accelerator neutrinos. United States: N. p., 2023. Web. doi:10.1103/PhysRevD.107.093005.
Tomalak, Oleksandr, Borah, Kaushik, Hill, Richard J., McFarland, Kevin S., & Ruterbories, Daniel. Radiative corrections to inverse muon decay for accelerator neutrinos. United States. https://doi.org/10.1103/PhysRevD.107.093005
Tomalak, Oleksandr, Borah, Kaushik, Hill, Richard J., McFarland, Kevin S., and Ruterbories, Daniel. Mon . "Radiative corrections to inverse muon decay for accelerator neutrinos". United States. https://doi.org/10.1103/PhysRevD.107.093005.
@article{osti_1973716,
title = {Radiative corrections to inverse muon decay for accelerator neutrinos},
author = {Tomalak, Oleksandr and Borah, Kaushik and Hill, Richard J. and McFarland, Kevin S. and Ruterbories, Daniel},
abstractNote = {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.},
doi = {10.1103/PhysRevD.107.093005},
journal = {Physical Review. D.},
number = 9,
volume = 107,
place = {United States},
year = {Mon May 15 00:00:00 EDT 2023},
month = {Mon May 15 00:00:00 EDT 2023}
}

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