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arXiv · 1309.6647

The BFKL equation, Mueller-Navelet jets and single-valued harmonic polylogarithms

Vittorio Del Duca·Lance J. Dixon·Claude Duhr·Jeffrey Pennington
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Abstract

We introduce a generating function for the coefficients of the leading logarithmic BFKL Green's function in transverse-momentum space, order by order in alpha_s, in terms of single-valued harmonic polylogarithms. As an application, we exhibit fully analytic azimuthal-angle and transverse-momentum distributions for Mueller-Navelet jet cross sections at each order in alpha_s. We also provide a generating function for the total cross section valid to any number of loops.

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Vittorio Del Duca, Lance J. Dixon, Claude Duhr, Jeffrey Pennington. 2014-02-24. The BFKL equation, Mueller-Navelet jets and single-valued harmonic polylogarithms. https://doi.org/10.1007/jhep02(2014)086

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