A calculation of the three-loop helicity-dependent splitting functions in QCD

2014/05/14 by A. Vogt, Vogt, A., S. Moch +3 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.1405.3407

10 pages, LaTeX (PoS style), 4 eps-figures. Proceedings of `Loops & Legs 2014', Weimar (Germany), April/May 2012

arxiv created 2014/05/14 · arxiv updated 2014/05/15

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.

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