Global fit to scattering data with next-to-leading logarithmic BFKL resummations
- NIKHEF, Kruislaan 409, 1098 SJ Amsterdam (Netherlands)
- Department of Physics and Astronomy, University College London, Gower Street, London, WC1E 6BT (United Kingdom)
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 Q{sub 0}{sup 2}=1 GeV{sup 2}, obtained from the resummed fit is positive and slightly increasing as x{yields}0, in contrast to the result obtained at fixed order. A resummed prediction for the longitudinal structure function F{sub L} is presented. It is positive definite and growing with energy at low x and Q{sup 2}, where the fixed-order results show a significant perturbative instability.
- OSTI ID:
- 21010981
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 75, Issue 3; Other Information: DOI: 10.1103/PhysRevD.75.034005; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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