Two-photon processes in conformal QCD: resummation of the descendants of leading-twist operators

Braun, V. M. and Ji, Yao and Manashov, A. N. (2021) Two-photon processes in conformal QCD: resummation of the descendants of leading-twist operators. JOURNAL OF HIGH ENERGY PHYSICS (3): 51. ISSN 1029-8479

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Abstract

Using some techniques of conformal field theories, we find a closed expression for the contribution of leading twist operators and their descendants, obtained by adding total derivatives, to the operator product expansion (OPE) of two electromagnetic currents in QCD. Our expression resums contributions of all twists and to all orders in perturbation theory up to corrections proportional to the QCD beta -function. At tree level and to twist-four accuracy, our result agrees with the expression derived earlier by a different method. The results are directly applicable to deeply-virtual Compton scattering and, e.g., gamma gamma annihilation in two mesons. As a byproduct, we derive a simple representation for the OPE of two scalar currents that is convenient for applications.

Item Type: Article
Uncontrolled Keywords: SCATTERING; SYMMETRY; ALGEBRA; Conformal and W Symmetry; Conformal Field Theory; Perturbative QCD
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 Aug 2022 05:41
Last Modified: 18 Aug 2022 05:41
URI: https://pred.uni-regensburg.de/id/eprint/46714

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