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Three-loop evolution equation for flavor-nonsinglet operators in off-forward kinematics

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arxiv 1703.09532 v1 pith:FSYIU6GG submitted 2017-03-28 hep-ph hep-th

V. M. Braun , A. N. Manashov , S. Moch , M. Strohmaier This is my paper · ORCID
classification hep-phhep-th
keywords operatorsflavor-nonsingletthree-loopequationevolutionexplicitresultsamplitude
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Using the approach based on conformal symmetry we calculate the three-loop (NNLO) contribution to the evolution equation for flavor-nonsinglet leading twist operators in the $\overline{\text{MS}}$ scheme. The explicit expression for the three-loop kernel is derived for the corresponding light-ray operator in coordinate space. The expansion in local operators is performed and explicit results are given for the matrix of the anomalous dimensions for the operators up to seven covariant derivatives. The results are directly applicable to the renormalization of the pion light-cone distribution amplitude and flavor-nonsinglet generalized parton distributions.

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Cited by 4 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. Conformal moments of the two-loop coefficient functions in DVCS

    hep-ph 2025-12 unverdicted novelty 7.0 of 10

    Conformal moments of the two-loop DVCS coefficient functions have been computed with a new technique.

  3. 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.

  4. Data-driven analysis of the $\gamma\gamma^*\rightarrow\pi^0$ system using mathematical models and the role of feedback-loop dynamics

    hep-ph 2024-12 reject novelty 2.0 of 10

    A two-parameter fit model yields a half-saturation relation that is algebraically trivial, and a claimed improved Belle fit that is not quantitatively demonstrated.

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