Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

P-2014-40

V.N. Velizhanin

 

Generalised double-logarithmic equation in QCD.

 

Abstract: We present a generalisation of the double-logarithmic equation for the anomalous dimension of the non-singlet unpolarized twist-2 operators in QCD. Using known three-loop result this generalisation allows to predict a small x expansion of the four-loop non-singlet splitting functions in QCD for all power of logarithms up to single-logarithm ln x
term.

 

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), P-2014-40

 

11 pp.