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Minimal Subtraction vs. Physical Factorisation Schemes in Small-x QCD

M. Ciafaloni·D. Colferai·G. P. Salam·A. M. Stasto
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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.

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M. Ciafaloni, D. Colferai, G. P. Salam, A. M. Stasto. 2006-01-25. Minimal Subtraction vs. Physical Factorisation Schemes in Small-x QCD. https://doi.org/10.1016/j.physletb.2006.03.014

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