Portal de Periódicos da CAPES

ASYMPTOTICS OF THE ALTARELLI-PARISI-LIPATOV EVOLUTION KERNELS OF PARTON DISTRIBUTIONS

1989; World Scientific; Volume: 04; Issue: 13 Linguagem: Inglês

10.1142/s0217732389001453

1793-6632

G.P. Korchemsky,

High-Energy Particle Collisions Research

The asymptotics of the evolution kernels P ab (z) of parton distributions is investigated as z→1. It is proven that to all orders of perturbative QCD, [Formula: see text] where [Formula: see text] is the cusp anomalous dimension of the contour functionals in the fundamental (α=“quark”) and adjoint (α=“gluon”) representations of gauge group and, to the lowest orders, C α are related to the anomalous dimension of a quark field in the axial gauge and the beta function of QCD by a simple equation.