English

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

High Energy Physics - Theory 2026-02-17 v1 High Energy Physics - Phenomenology

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 ϵ\epsilon expansion and Gross-Neveu in 1/N1/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.

Keywords

Cite

@article{arxiv.2602.14149,
  title  = {Resummation of small-spin singularities in anomalous dimensions of twist-two operators},
  author = {Alexander N. Manashov and Sven-Olaf Moch and Leonid A. Shumilov},
  journal= {arXiv preprint arXiv:2602.14149},
  year   = {2026}
}

Comments

10 pages. RADCOR 2025 proceedings