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

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.

Comments: 28 pages, 2 figures. v2: added one table, various explanatory remarks, and corrected typos