NNLO anomalous dimension matrix for twist-two flavor-singlet operators

Braun, V. M. and Chetyrkin, K. G. and Manashov, A. N. (2022) NNLO anomalous dimension matrix for twist-two flavor-singlet operators. PHYSICS LETTERS B, 834: 137409. ISSN 0370-2693, 1873-2445

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Abstract

Conformal symmetry of QCD is restored at the Wilson-Fisher critical point in noninteger 4 - 2 is an element of space-time dimensions. Correlation functions of multiplicatively renormalizable operators with different anomalous dimensions at the critical point vanish identically. We show that this property allows one to calculate off-diagonal parts of the anomalous dimension matrices for leading-twist operators from a set of two-point correlation functions of gauge-invariant operators which can be evaluated using standard computer algebra techniques. As an illustration, we present the results for the NNLO anomalous dimension matrix for flavor-singlet QCD operators for spin N <= 8. (C) 2022 The Author(s). Published by Elsevier B.V.

Item Type: Article
Uncontrolled Keywords: CONFORMAL SYMMETRY; QCD; Conformal symmetry; Anomalous dimensions; DVCS
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun
Depositing User: Dr. Gernot Deinzer
Date Deposited: 26 Jan 2024 08:31
Last Modified: 26 Jan 2024 08:31
URI: https://pred.uni-regensburg.de/id/eprint/57391

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