%0 Electronic Article
%A Manashov, A. N.
%A Moch, S.
%A Shumilov, L. A.
%T Three-loop evolution kernel for transversity operator
%N arXiv:2407.12696
%M PUBDB-2025-01227
%M arXiv:2407.12696
%M DESY-24-103
%D 2024
%Z This work has been supported by the DFG through the Research Unit FOR 2926, Next Generation pQCD for Hadron Structure: Preparing for the EIC, project number 40824754, DFG grant MO 1801/4-2 and the ERC Advanced Grant 101095857 Conformal-EIC.
%X 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.
%K Higher-Order Perturbative Calculations (autogen)
%K Parton Distributions (autogen)
%K Renormalization Group (autogen)
%K Scale and Conformal Symmetries (autogen)
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.3204/PUBDB-2025-01227
%U https://bib-pubdb1.desy.de/record/625902