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

Publication ,  Journal Article
Akushevich, I; Gao, H; Ilyichev, A; Meziane, M
Published in: European Physical Journal A
January 1, 2015

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. To reach 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.

Duke Scholars

Published In

European Physical Journal A

DOI

EISSN

1434-601X

ISSN

1434-6001

Publication Date

January 1, 2015

Volume

51

Issue

1

Related Subject Headings

  • Nuclear & Particles Physics
  • 5110 Synchrotrons and accelerators
  • 5107 Particle and high energy physics
  • 5106 Nuclear and plasma physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
 

Citation

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Akushevich, I., Gao, H., Ilyichev, A., & Meziane, M. (2015). Radiative corrections beyond the ultra relativistic limit in unpolarized ep elastic and Møller scatterings for the PRad Experiment at Jefferson Laboratory. European Physical Journal A, 51(1). https://doi.org/10.1140/epja/i2015-15001-8
Akushevich, I., H. Gao, A. Ilyichev, and M. Meziane. “Radiative corrections beyond the ultra relativistic limit in unpolarized ep elastic and Møller scatterings for the PRad Experiment at Jefferson Laboratory.” European Physical Journal A 51, no. 1 (January 1, 2015). https://doi.org/10.1140/epja/i2015-15001-8.
Akushevich, I., et al. “Radiative corrections beyond the ultra relativistic limit in unpolarized ep elastic and Møller scatterings for the PRad Experiment at Jefferson Laboratory.” European Physical Journal A, vol. 51, no. 1, Jan. 2015. Scopus, doi:10.1140/epja/i2015-15001-8.
Journal cover image

Published In

European Physical Journal A

DOI

EISSN

1434-601X

ISSN

1434-6001

Publication Date

January 1, 2015

Volume

51

Issue

1

Related Subject Headings

  • Nuclear & Particles Physics
  • 5110 Synchrotrons and accelerators
  • 5107 Particle and high energy physics
  • 5106 Nuclear and plasma physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics