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Title: Leading order corrections to the Bethe-Heitler process in the $$γp \rightarrow l^+l^-p$$ reaction

Abstract

The ratio of dilepton production cross sections on a proton, using the $$γp \rightarrow l^+l^-p$$ process, above and below the dimuon production threshold allows one to extract the effective lepton-proton interaction, which is required to be identical for electrons and muons if lepton universality is exact. To test for a scenario of broken universality at the percent level, of the size that could explain the different proton charge radii extracted from electron scattering and from muonic hydrogen spectroscopy, we evaluate all one-loop QED corrections to this process, including the full lepton mass dependencies. We furthermore show that two photon–exchange processes with both photons attached to the proton line vanish after averaging over dilepton angles and estimate the relatively small radiation off the proton. We compare the full one-loop calculation with a soft-photon approximation of the same order and present estimates for a planned experiment.

Authors:
 [1];  [2];  [3];  [1]
  1. Johannes Gutenberg Univ, Mainz (Germany). Inst. für Kernphysik and PRISMA+ Cluster of Excellence
  2. Johannes Gutenberg Univ, Mainz (Germany). Inst. für Kernphysik and PRISMA+ Cluster of Excellence; Univ. of Kentucky, Lexington, KY (United States). Dept. of Physics and Astronomy; Fermilab, Batavia, IL (United States)
  3. Memorial Univ. of Newfoundland, Newfoundland (Canada)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1570790
Alternate Identifier(s):
OSTI ID: 1546018
Report Number(s):
arXiv:1906.02706; FERMILAB-PUB-19-278-T
Journal ID: ISSN 2470-0010; PRVDAQ; oai:inspirehep.net:1738737
Grant/Contract Number:  
AC02-07CH11359; SC0019095
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 100; Journal Issue: 7; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Heller, Matthias, Tomalak, Oleksandr, Wu, Shihao, and Vanderhaeghen, Marc. Leading order corrections to the Bethe-Heitler process in the $γp \rightarrow l^+l^-p$ reaction. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.076013.
Heller, Matthias, Tomalak, Oleksandr, Wu, Shihao, & Vanderhaeghen, Marc. Leading order corrections to the Bethe-Heitler process in the $γp \rightarrow l^+l^-p$ reaction. United States. doi:10.1103/PhysRevD.100.076013.
Heller, Matthias, Tomalak, Oleksandr, Wu, Shihao, and Vanderhaeghen, Marc. Thu . "Leading order corrections to the Bethe-Heitler process in the $γp \rightarrow l^+l^-p$ reaction". United States. doi:10.1103/PhysRevD.100.076013.
@article{osti_1570790,
title = {Leading order corrections to the Bethe-Heitler process in the $γp \rightarrow l^+l^-p$ reaction},
author = {Heller, Matthias and Tomalak, Oleksandr and Wu, Shihao and Vanderhaeghen, Marc},
abstractNote = {The ratio of dilepton production cross sections on a proton, using the $γp \rightarrow l^+l^-p$ process, above and below the dimuon production threshold allows one to extract the effective lepton-proton interaction, which is required to be identical for electrons and muons if lepton universality is exact. To test for a scenario of broken universality at the percent level, of the size that could explain the different proton charge radii extracted from electron scattering and from muonic hydrogen spectroscopy, we evaluate all one-loop QED corrections to this process, including the full lepton mass dependencies. We furthermore show that two photon–exchange processes with both photons attached to the proton line vanish after averaging over dilepton angles and estimate the relatively small radiation off the proton. We compare the full one-loop calculation with a soft-photon approximation of the same order and present estimates for a planned experiment.},
doi = {10.1103/PhysRevD.100.076013},
journal = {Physical Review D},
number = 7,
volume = 100,
place = {United States},
year = {2019},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.076013

Figures / Tables:

FIG. 1 FIG. 1: The Bethe-Heitler process at tree level.

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