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 alphas, 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 alphas. We also provide a generating function for the total cross section valid to any number of loops.

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