Springer Berlin Heidelberg
Berlin/Heidelberg
Springer
13130
10.1007/13130.1029-8479
1029-8479
32745009
Journal of High Energy Physics
J. High Energ. Phys.
Physics
Elementary Particles, Quantum Field Theory
Quantum Field Theories, String Theory
Classical and Quantum Gravitation, Relativity Theory
Quantum Physics
Physics and Astronomy
2020
2020
12
9
9
200
2020
12
24
2020
9
2020
The Author(s)
2020
13819
2007.06348
10.1007/JHEP09(2020)117
117
117
Two-loop coefficient function for DVCS: vector contributions
Regular Article - Theoretical Physics
1
31
2020
9
17
2020
7
20
2020
8
17
2020
9
17
The Author(s)
2020
Open Access. This article is distributed under the terms of the Creative Commons Attribution License (
CC-BY 4.0
), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
13130
2020
2020
9
9
V.
M.
Braun
vladimir.braun@ur.de
A.
N.
Manashov
alexander.manashov@desy.de
S.
Moch
sven-olaf.moch@desy.de
J.
Schoenleber
jakob.schoenleber@ur.de
grid.7727.5
0000 0001 2190 5763
Institut für Theoretische Physik
Universität Regensburg
D-93040
Regensburg
Germany
grid.9026.d
0000 0001 2287 2617
II. Institut für Theoretische Physik
Universität Hamburg
D-22761
Hamburg
Germany
grid.474629.a
0000 0001 1942 8451
St. Petersburg Department of Steklov Mathematical Institute
191023
St. Petersburg
Russia
Abstract
Using the approach based on conformal symmetry we calculate the two-loop coefficient function for the vector flavor-nonsinglet contribution to deeply-virtual Compton scattering (DVCS). The analytic expression for the coefficient function in momentum fraction space is presented in the
$$ \overline{\mathrm{MS}} $$
scheme. The corresponding next-to-next-to-leading order correction to the Compton form factor ℋ for a simple model of the generalized parton distribution appears to be rather large: a factor two smaller than the next-to-leading order correction, approximately ∼ 10% of the tree level result in the bulk of the kinematic range, for Q
2 = 4 GeV2.
Keywords
Conformal Field Theory
Renormalization Group
ArXiv ePrint:
2007.06348