White, C.D. and Thorne, R.S. (2007) Global fit to scattering data with next-to-leading logarithmic BFKL resummations. Physical Review D, 75(3), 034005. (doi: 10.1103/PhysRevD.75.034005)
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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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | White, Dr Christopher |
| Authors: | White, C.D., and Thorne, R.S. |
| Subjects: | Q Science > QC Physics |
| College/School: | College of Science and Engineering > School of Physics and Astronomy |
| Journal Name: | Physical Review D |
| Publisher: | American Physical Society |
| ISSN: | 1550-7998 |
| ISSN (Online): | 1089-4918 |
| Published Online: | 07 February 2007 |
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