A calculation of the three-loop helicity-dependent splitting functions in QCD
High Energy Physics - Phenomenology
2014-05-15 v1
Abstract
We have calculated the complete matrix of three-loop helicity-difference (`polarized') splitting functions Delta P_ik^(2), i,k = q,g, in massless perturbative QCD. In this note we briefly discuss some properties of the polarized splitting functions and our non-standard determination of the hitherto missing lower-row quantities Delta P_gq^(2) and Delta P_gg^(2). The resulting next-to-next-to-leading order (NNLO) corrections to the evolution of polarized parton distributions are illustrated and found to be small even at rather large values of the strong coupling constant alpha_s.
Cite
@article{arxiv.1405.3407,
title = {A calculation of the three-loop helicity-dependent splitting functions in QCD},
author = {A. Vogt and S. Moch and J. A. M. Vermaseren},
journal= {arXiv preprint arXiv:1405.3407},
year = {2014}
}
Comments
10 pages, LaTeX (PoS style), 4 eps-figures. Proceedings of `Loops & Legs 2014', Weimar (Germany), April/May 2012