Small-xresummation from HELL.
Small-xlogarithmic 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-xfrom HERA, providing phenomenological tools for performing small-xresummation has become of great relevance. In this paper we discuss a framework to perform small-xresummation 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. Furthermore, we discuss the uncertainty from subleading terms on our results.
Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford, England, UK.
Marco
M
Bonvini
University at Buffalo, The State University of New York, Buffalo, NY 14260-1500 USA.
Simone
S
Marzani
Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, Edinburgh, EH9 3JZ Scotland, UK.
Tiziano
T
Peraro