1. Small- x resummation from HELL
- Author
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Tiziano Peraro, Simone Marzani, Marco Bonvini, Bonvini M., Marzani S., and Peraro T.
- Subjects
Physics ,Particle physics ,Large Hadron Collider ,Physics and Astronomy (miscellaneous) ,010308 nuclear & particles physics ,High Energy Physics::Phenomenology ,FOS: Physical sciences ,Parton ,HERA ,01 natural sciences ,law.invention ,Gluon ,Massless particle ,High Energy Physics - Phenomenology ,DGLAP ,High Energy Physics - Phenomenology (hep-ph) ,law ,High energy, small x, resummation ,0103 physical sciences ,High Energy Physics::Experiment ,Resummation ,010306 general physics ,Collider ,Engineering (miscellaneous) - Abstract
Small-$x$ 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-$x$ from HERA, providing phenomenological tools for performing small-$x$ resummation has become of great relevance. In this paper we discuss a framework to perform small-$x$ 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., Version accepted by EPJ C. 26 pages, 7 figures. Section 2.4 largely re-written. Added estimate of theoretical uncertainty and comparison to CCSS
- Published
- 2016