Paper
Small-$x$ resummation from HELL
Authors
Marco Bonvini, Simone Marzani, Tiziano Peraro
Abstract
Small- logarithmic enhancements arising from high-energy gluon emissions affect both the evolution of collinearly-factorized parton densities and partonic coefficient functions. With the higher collider energy reached by the LHC, the prospect of a future high-energy collider, and the recent deep-inelastic scattering (DIS) results at small- from HERA, providing phenomenological tools for performing small- resummation has become of great relevance. In this paper we discuss a framework to perform small- resummation for both parton evolution and partonic coefficient functions and we describe its implementation in a computer code named High-Energy Large Logarithms (HELL). We present resummed and matched results for the DGLAP splitting functions and, as a proof of principle, for the massless structure functions in DIS.