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

Preprint 2014-31

V.N. Velizhanin

Four loop anomalous dimension of the third and fourth moments of the non-singlet twist-2 operator in QCD


Abstract: We present the result of a calculation for the third and fourth moments of the non-singlet four-loop anomalous dimension of Wilson twist-2 operators in QCD with full color and  avour structures. We discuss also a general expressions for some contributions to the
full four-loop anomalous dimension obtained with the help of the method, based on LLL-
algorithm, which was proposed earlier by us for the reconstruction of a general form of the
anomalous dimension from a xed values.


Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2014-31


12 pp.