Dimensional regularisation and factorisation schemes in the BFKL equation at subleading level | Zendy

M. Ciafaloni | Zendy; Dimitri Colferai | Zendy

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Dimensional regularisation and factorisation schemes in the BFKL equation at subleading level

Author(s) -

M. Ciafaloni,

Dimitri Colferai

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/09/069

Subject(s) - universality (dynamical systems) , factorization , physics , dimension (graph theory) , kernel (algebra) , representation (politics) , scheme (mathematics) , fourier transform , renormalization group , mathematical physics , particle physics , mathematics , pure mathematics , mathematical analysis , quantum mechanics , algorithm , politics , political science , law

We study the anomalous dimensions and coefficient functions generated by theBFKL equation in 4+2 epsilon dimensions, by investigating both running couplingeffects, and the inclusion of the full next-to-leading kernel. Aftergeneralising the Fourier representation of the solutions to this case, weanalyse the beta-dependent renormalisation-group factorisation of anomalousdimension and coefficient contributions to the gluon density. We derive on thisbasis the normalisation factor of the Q0-scheme with respect to theMSbar-scheme, including beta-dependent corrections to it, and we outline thederivation of the full next-to-leading contributions. We also provide anexpression for the resummed gamma_qg in the MSbar-scheme which exhibits itsuniversality and is explicit up to quadratures.Comment: 32 pages, 2 figure

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