On factorisation at small x
Abstract
We investigate factorisation at small x using a variety of analytical and numerical techniques. Previous results on factorisation in collinear models are generalised to the case of the full BFKL equation, and illustrated in the example of a collinear model which includes higher twist terms. Unlike the simplest collinear model, the BFKL equation leads to effective anomalous dimensions containing higher-twist pieces which grow as a (non-perturbative) power at small x. While these pieces dominate the effective splitting function at very small x they do not lead to a break-down of factorisation insofar as their effect on the predicted scaling violations remains strongly suppressed.
Cite
@article{arxiv.hep-ph/0007240,
title = {On factorisation at small x},
author = {Marcello Ciafaloni and Dimitri Colferai and Gavin P. Salam},
journal= {arXiv preprint arXiv:hep-ph/0007240},
year = {2009}
}
Comments
17 pages, LaTeX. Updated version corrects some small misprints and adds extra preprint numbers