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

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

2005-07-08

arxiv.org/abs/hep-ph/0507106v1

JHEP0509:069,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages, 2 figures

Scientific paper

10.1088/1126-6708/2005/09/069

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.

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