Solution of the off-forward leading logarithmic evolution equation based on the Gegenbauer moments inversion
High Energy Physics - Phenomenology
2014-11-17 v2
Abstract
Using the conformal invariance the leading-log evolution of the off-forward structure function is reduced to the forward evolution described by the conventional DGLAP equation. The method relies on the fact that the anomalous dimensions of the Gegenbauer moments of the off-forward distribution are independent on the asymmetry, or skewedness, parameter and equal to the DGLAP ones. The integral kernels relating the forward and off-forward functions with the same Mellin and Gegenbauer moments are presented for arbitrary asymmetry value.
Keywords
Cite
@article{arxiv.hep-ph/9902318,
title = {Solution of the off-forward leading logarithmic evolution equation based on the Gegenbauer moments inversion},
author = {A. Shuvaev},
journal= {arXiv preprint arXiv:hep-ph/9902318},
year = {2014}
}
Comments
11 pages, LaTeX, no figures, revised version, references added