Radiative corrections to inverse muon decay for accelerator neutrinos

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

Research output: Contribution to journalArticlepeer-review

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 ν¯ee-→ν¯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.

Original languageEnglish
Article number093005
JournalPhysical Review D
Volume107
Issue number9
DOIs
StatePublished - May 1 2023

Bibliographical note

Publisher Copyright:
© 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

Funding

O. T. thanks Matthias Heller and Marc Vanderhaeghen for technical discussions while working on other projects. This work is supported by the U.S. Department of Energy through the Los Alamos National Laboratory and by LANL’s Laboratory Directed Research and Development (LDRD/PRD) program under Project No. 20210968PRD4. Los Alamos National Laboratory is operated by Triad National Security, LLC, for the National Nuclear Security Administration of U.S. Department of Energy (Contract No. 89233218CNA000001). This work was also supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Awards DE-SC0019095 and DE-SC0008475. K. S. M. acknowledges support from a Fermilab Intensity Frontier Fellowship during the early stages of this work, and from the University of Rochester’s Steven Chu Professorship in Physics. D. R. gratefully acknowledges support from a Cottrell Postdoctoral Fellowship, Research Corporation for Scientific Advancement Award No. 27467 and National Science Foundation Award CHE2039044. FeynCalc , LoopTools , Mathematica , and DataGraph were extremely useful in this work.

FundersFunder number
Fermilab Intensity Frontier Fellowship
National Science Foundation (NSF)CHE2039044
Michigan State University-U.S. Department of Energy (MSU-DOE) Plant Research Laboratory
Office of Science Programs
National Nuclear Security Administration89233218CNA000001
Institute for High Energy PhysicsDE-SC0008475, DE-SC0019095
Laboratory Directed Research and Development20210968PRD4
University of Minnesota Rochester27467
Los Alamos National Laboratory

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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