English

Three-loop evolution kernel for transversity operator

High Energy Physics - Theory 2024-09-24 v2 High Energy Physics - Phenomenology

Abstract

We calculate quantum corrections to the symmetry generators for the transversity operators in quantum chromodynamics (QCD) in the two-loop approximation. Using this result, we obtain the evolution kernel for the corresponding operators at three loops. The explicit expression for the anomalous dimension matrix in the Gegenbauer basis is given for the first few operators.

Keywords

Cite

@article{arxiv.2407.12696,
  title  = {Three-loop evolution kernel for transversity operator},
  author = {A. N. Manashov and S. Moch and L. A. Shumilov},
  journal= {arXiv preprint arXiv:2407.12696},
  year   = {2024}
}

Comments

28 pages, 2 figures, v2: references added, typos corrected