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arXiv · 2602.14149

Resummation of small-spin singularities in anomalous dimensions of twist-two operators

Alexander N. Manashov·Sven-Olaf Moch·Leonid A. Shumilov
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Abstract

Anomalous dimensions of leading-twist operators in QCD play an important role in precision predictions for high-energy processes, since they govern the scale evolution of parton distributions. Their analytic structure as a function of spin is particularly important due to the complexity of higher-loop computations. In these proceedings, we discuss the resummation of the certain type of such singularities that share common features with those appearing in the quark flavor-nonsinglet sector of QCD. Our main focus is on the interplay between Gross-Neveu-Yukawa model in $\epsilon$ expansion and Gross-Neveu in $1/N$ expansion. Such resummation allows one to predict the higher-loop singular behavior and reveals connections with the conformal Regge theory and recent studies of detector operators in QCD and various conformal field theories.

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Alexander N. Manashov, Sven-Olaf Moch, Leonid A. Shumilov. 2026-02-15. Resummation of small-spin singularities in anomalous dimensions of twist-two operators. https://arxiv.org/abs/2602.14149

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