Dimensional Regularisation and Factorisation Schemes in the BFKL Equation at Subleading Leve
Abstract
We study the anomalous dimensions and coefficient functions generated by the BFKL equation in 4+2 epsilon dimensions, by investigating both running coupling effects, and the inclusion of the full next-to-leading kernel. After generalising the Fourier representation of the solutions to this case, we analyse the beta-dependent renormalisation-group factorisation of anomalous dimension and coefficient contributions to the gluon density. We derive on this basis the normalisation factor of the Q0-scheme with respect to the MSbar-scheme, including beta-dependent corrections to it, and we outline the derivation of the full next-to-leading contributions. We also provide an expression for the resummed gamma_qg in the MSbar-scheme which exhibits its universality and is explicit up to quadratures.
Cite
@article{arxiv.hep-ph/0507106,
title = {Dimensional Regularisation and Factorisation Schemes in the BFKL Equation at Subleading Leve},
author = {M. Ciafaloni and D. Colferai},
journal= {arXiv preprint arXiv:hep-ph/0507106},
year = {2009}
}
Comments
32 pages, 2 figures