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Title: Radiative corrections beyond the ultra relativistic limit in unpolarized ep elastic and Møller scatterings for the PRad Experiment at Jefferson Laboratory

Abstract

The clear 7σ discrepancy between measurements of the proton charge radius from muonic hydrogen Lamb shifts and those from hydrogen Lamb shift and electron scattering lead to both intense theoretical and experimental efforts to understand and explain this difference. In this regard, a new experiment (PRad) based on unpolarized ep elastic scattering cross section measurements normalized to Møller scattering is underway at Jefferson Laboratory to extract the proton charge radius based on new proton electric form factor down to values of momentum transfer squared Q2, as low as 10-4 GeV/c)-2. Reaching the precision of the experiment in such a small Q2 region requires reliable knowledge of radiative corrections. In this paper, we present a complete calculation of radiative corrections for unpolarized elastic ep and Møller scatterings performed within a covariant formalism resulting in the set of explicit formulas beyond the ultra relativistic approximation (me2 ≪ Q2), and numerical results for the kinematics of the PRad experiment.

Authors:
 [1];  [1];  [2];  [1]
+ Show Author Affiliations
  1. Duke Univ., Durham, NC (United States)
  2. National Center of Particle and High Energy Physics, Minsk (Belarus)
Publication Date:
Research Org.:
Duke Univ., Durham, NC (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1595324
Grant/Contract Number:  
FG02-03ER41231
Resource Type:
Accepted Manuscript
Journal Name:
European Physical Journal. A
Additional Journal Information:
Journal Volume: 51; Journal Issue: 1; Journal ID: ISSN 1434-6001
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Radiative Correction; Vacuum Polarization; Infrared Divergence; Muonic Hydrogen; Dark Photon

Citation Formats

Akushevich, I., Gao, H., Ilyichev, A., and Meziane, M. Radiative corrections beyond the ultra relativistic limit in unpolarized ep elastic and Møller scatterings for the PRad Experiment at Jefferson Laboratory. United States: N. p., 2015. Web. doi:10.1140/epja/i2015-15001-8.
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Akushevich, I., Gao, H., Ilyichev, A., & Meziane, M. Radiative corrections beyond the ultra relativistic limit in unpolarized ep elastic and Møller scatterings for the PRad Experiment at Jefferson Laboratory. United States. https://doi.org/10.1140/epja/i2015-15001-8
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Akushevich, I., Gao, H., Ilyichev, A., and Meziane, M. Mon . "Radiative corrections beyond the ultra relativistic limit in unpolarized ep elastic and Møller scatterings for the PRad Experiment at Jefferson Laboratory". United States. https://doi.org/10.1140/epja/i2015-15001-8. https://www.osti.gov/servlets/purl/1595324.
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@article{osti_1595324,
title = {Radiative corrections beyond the ultra relativistic limit in unpolarized ep elastic and Møller scatterings for the PRad Experiment at Jefferson Laboratory},
author = {Akushevich, I. and Gao, H. and Ilyichev, A. and Meziane, M.},
abstractNote = {The clear 7σ discrepancy between measurements of the proton charge radius from muonic hydrogen Lamb shifts and those from hydrogen Lamb shift and electron scattering lead to both intense theoretical and experimental efforts to understand and explain this difference. In this regard, a new experiment (PRad) based on unpolarized ep elastic scattering cross section measurements normalized to Møller scattering is underway at Jefferson Laboratory to extract the proton charge radius based on new proton electric form factor down to values of momentum transfer squared Q2, as low as 10-4 GeV/c)-2. Reaching the precision of the experiment in such a small Q2 region requires reliable knowledge of radiative corrections. In this paper, we present a complete calculation of radiative corrections for unpolarized elastic ep and Møller scatterings performed within a covariant formalism resulting in the set of explicit formulas beyond the ultra relativistic approximation (me2 ≪ Q2), and numerical results for the kinematics of the PRad experiment.},
doi = {10.1140/epja/i2015-15001-8},
journal = {European Physical Journal. A},
number = 1,
volume = 51,
place = {United States},
year = {Mon Jan 12 00:00:00 EST 2015},
month = {Mon Jan 12 00:00:00 EST 2015}
}
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Publisher's Version of Record
https://doi.org/10.1140/epja/i2015-15001-8
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    • Andreyev, A. N.; Nishio, K.; Schmidt, K-H
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    • DOI: 10.1088/1361-6633/aa82eb

    In-medium similarity renormalization group for closed and open-shell nuclei
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