English

Dimensional Regularisation and Factorisation Schemes in the BFKL Equation at Subleading Leve

High Energy Physics - Phenomenology 2009-11-11 v1

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.

Keywords

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

R2 v1 2026-07-22T14:02:52.233Z