TY - JOUR

T1 - Parton distributions in radiative corrections to the cross section of electron-proton scattering

AU - Fadin, V. S.

AU - Gerasimov, R. E.

N1 - Funding Information: Work supported in part by the Ministry of Science and Higher Education of Russian Federation and in part by RFBR, Grant 19-02-00690. Publisher Copyright: © 2021, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/3

Y1 - 2021/3

N2 - The structure function approach and the parton picture, developed for the theoretical description of the deep inelastic electron-proton scattering, also proved to be very effective for calculation of radiative corrections in Quantum Electrodynamics. We use them to calculate radiative corrections to the cross section of electron-proton scattering due to electron-photon interaction, in the experimental setup with the recoil proton detection, proposed by A. A. Vorobyev to measure the proton radius. In the one-loop approximation, explicit expressions for these corrections are obtained for arbitrary momentum transfers. It is shown that, at momentum transfers small compared with the proton mass, various contributions to the corrections mutually cancel each other with power accuracy. In two loops, the corrections are obtained in the leading logarithmic approximation.

AB - The structure function approach and the parton picture, developed for the theoretical description of the deep inelastic electron-proton scattering, also proved to be very effective for calculation of radiative corrections in Quantum Electrodynamics. We use them to calculate radiative corrections to the cross section of electron-proton scattering due to electron-photon interaction, in the experimental setup with the recoil proton detection, proposed by A. A. Vorobyev to measure the proton radius. In the one-loop approximation, explicit expressions for these corrections are obtained for arbitrary momentum transfers. It is shown that, at momentum transfers small compared with the proton mass, various contributions to the corrections mutually cancel each other with power accuracy. In two loops, the corrections are obtained in the leading logarithmic approximation.

UR - http://www.scopus.com/inward/record.url?scp=85102105998&partnerID=8YFLogxK

U2 - 10.1140/epja/s10050-021-00399-7

DO - 10.1140/epja/s10050-021-00399-7

M3 - Article

AN - SCOPUS:85102105998

VL - 57

JO - European Physical Journal A

JF - European Physical Journal A

SN - 1434-6001

IS - 3

M1 - 86

ER -