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

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arxiv 2205.08228 v1 pith:PHNGICDP submitted 2022-05-17 hep-ph

V.M. Braun , K.G. Chetyrkin , A.N. Manashov This is my paper · ORCID
classification hep-ph
keywords operatorsanomalousdimensioncorrelationcriticaldimensionsflavor-singletfunctions
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Conformal symmetry of QCD is restored at the Wilson-Fisher critical point in noninteger $4-2\epsilon$ 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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Kinematic power corrections to DVCS to twist-six accuracy

    hep-ph 2025-01 accept novelty 8.0 of 10

    Complete kinematic power corrections up to twist-6 are derived for nucleon DVCS, and the series converges best when organized in powers of 1/(Q²+t).

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

    hep-ph 2024-11 conditional novelty 7.0 of 10

    The paper derives the two-loop coefficient functions for the operator product expansion of two electromagnetic currents in general kinematics, the central ingredient for next-to-next-to-leading-order DDVCS predictions.

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