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

A bstract 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...

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Bibliographic Details
Published in:The journal of high energy physics 2021-03, Vol.2021 (3), p.1-27, Article 51
Main Authors: Braun, V.M., Ji, Yao, Manashov, A.N.
Format: Article
Language:English
Subjects:
Accuracy
Approximation
Classical and Quantum Gravitation
Conformal and W Symmetry
Conformal Field Theory
Elastic scattering
Elementary Particles
High energy physics
Kinematics
Mesons
Operators (mathematics)
Perturbation theory
Perturbative QCD
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract 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 β -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., γγ ∗ annihilation in two mesons. As a byproduct, we derive a simple representation for the OPE of two scalar currents that is convenient for applications.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2021)051