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

C. D. White1,* and R. S. Thorne2,†

  • 1NIKHEF, Kruislaan 409, 1098 SJ Amsterdam, The Netherlands
  • 2Department of Physics and Astronomy, University College London, Gower Street, London, WC1E 6BT, United Kingdom

  • *Electronic address: cwhite@nikhef.nl
  • †Electronic address: thorne@hep.ucl.ac.uk
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Phys. Rev. D 75, 034005 – Published 7 February, 2007

DOI: https://doi.org/10.1103/PhysRevD.75.034005

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→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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Phys. Rev. D 75, 034005– Published 7 February, 2007
  • Received 16 November 2006

© 2007 American Physical Society

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