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Global fit to scattering data with next-to-leading logarithmic BFKL resummations

2006/11/15 by C. D. White, R. S. Thorne · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.75.034005

published as Phys.Rev.D75:034005,2007 · 52 pages, 27 figures

arxiv created 2006/11/15 · openalex publication_date 2007/02/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We calculate deep inelastic scattering (DIS) scheme splitting and coefficient functions for electromagnetic DIS with small x resummations, as given by the next-to-leading-logarithmic Balitsky-Fadin-Kuraev-Lipatov (NLL BFKL) equation with running coupling and approximate NLL resummed impact factors. The resummations are combined with a next-to-leading order (NLO) fixed-order expansion, and the improved quantities thus obtained are stable at small x and significantly suppressed with respect to leading logarithmic (LL) results. These results are implemented in a global fit to DIS and related data, and the results compared to a NLO fixed-order DIS scheme fit and with a previous LL resummed fit. The NLL resummed fit quality is excellent and constitutes a marked improvement over the purely fixed-order approach. The input gluon, at Q02=1 GeV2, obtained from the resummed fit is positive and slightly increasing as x\ensuremath→0, in contrast to the result obtained at fixed order. A resummed prediction for the longitudinal structure function FL is presented. It is positive definite and growing with energy at low x and Q2, where the fixed-order results show a significant perturbative instability.

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