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arXiv · 2205.08228

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

V. M. Braun·K. G. Chetyrkin·A. N. Manashov
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Abstract

Conformal symmetry of QCD is restored at the Wilson-Fisher critical point in noninteger $4-2ε$ 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 $N\le 8$.

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V. M. Braun, K. G. Chetyrkin, A. N. Manashov. 2022-05-17. NNLO anomalous dimension matrix for twist-two flavor-singlet operators. https://doi.org/10.1016/j.physletb.2022.137409

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