Minimal Subtraction vs. Physical Factorisation Schemes in Small-x QCD
Abstract
We investigate the relationship of ``physical'' parton densities defined by kt-factorisation, to those in the minimal subtraction scheme, by comparing their small-x behaviour. We first summarize recent results on the above scheme change derived from the BFKL equation at NLx level, and we then propose a simple extension to the renormalisation-group improved (RGI) equation. In this way we are able the examine the difference between resummed gluon distributions in the Q_0 and MSbar schemes and also to show MSbar scheme resummed results for P_gg and approximate ones for P_qg. We find that, due to the stability of the RGI approach, small-x resummation effects are not much affected by the scheme-change in the gluon channel, while they are relatively more sensitive for the quark-gluon mixing.
Cite
@article{arxiv.hep-ph/0601200,
title = {Minimal Subtraction vs. Physical Factorisation Schemes in Small-x QCD},
author = {M. Ciafaloni and D. Colferai and G. P. Salam and A. M. Stasto},
journal= {arXiv preprint arXiv:hep-ph/0601200},
year = {2008}
}
Comments
14 pages, 8 figures