The two-loop coefficient functions for double deeply virtual Compton scattering

Braun, Vladimir M. and Jiang, Hua-Yu and Manashov, Alexander N. and von Manteuffel, Andreas (2025) The two-loop coefficient functions for double deeply virtual Compton scattering. JOURNAL OF HIGH ENERGY PHYSICS (1): 69. ISSN 1029-8479

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Abstract

Making use of conformal symmetry of large-nf QCD in d = 4 - 2 & varepsilon; dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator product expansion of two electromagnetic currents in general kinematics with two different photon virtualities. This result is necessary for the description of the double deeply virtual Compton scattering to the next-to-next-to-leading order accuracy, but is also interesting for a range of other two-photon processes. We present analytic expression for the coefficient function in momentum fraction space in the MS<overline>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \overline{\textrm{MS}} $$\end{document} scheme and study its numerical impact on the Compton form factors for a simple model of the generalized parton distributions. The calculated corrections turn out to be large and are significant for the kinematics of proposed experiments.

Item Type: Article
Uncontrolled Keywords: ANOMALOUS DIMENSIONS; CONFORMAL SYMMETRY; EVOLUTION KERNELS; OPERATORS; QCD; Factorization; Renormalization Group; Higher-Order Perturbative Calculations; Scale and Conformal Symmetries; Specific QCD Phenomenology
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun
Depositing User: Dr. Gernot Deinzer
Date Deposited: 18 Jun 2026 06:32
Last Modified: 18 Jun 2026 06:32
URI: https://pred.uni-regensburg.de/id/eprint/66474

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