Global fit to scattering data with nexttoleading logarithmic BFKL resummations
Abstract
We calculate deep inelastic scattering (DIS) scheme splitting and coefficient functions for electromagnetic DIS with small x resummations, as given by the nexttoleadinglogarithmic BalitskyFadinKuraevLipatov (NLL BFKL) equation with running coupling and approximate NLL resummed impact factors. The resummations are combined with a nexttoleading order (NLO) fixedorder 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 fixedorder 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 fixedorder 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 fixedorder results show a significant perturbative instability.
 Authors:

 NIKHEF, Kruislaan 409, 1098 SJ Amsterdam (Netherlands)
 Department of Physics and Astronomy, University College London, Gower Street, London, WC1E 6BT (United Kingdom)
 Publication Date:
 OSTI Identifier:
 21010981
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.75.034005; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COUPLING; DEEP INELASTIC SCATTERING; ELECTROMAGNETIC INTERACTIONS; FOUR MOMENTUM TRANSFER; GLUONS; PARTICLE KINEMATICS; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; STRUCTURE FUNCTIONS
Citation Formats
White, C D, and Thorne, R S. Global fit to scattering data with nexttoleading logarithmic BFKL resummations. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.034005.
White, C D, & Thorne, R S. Global fit to scattering data with nexttoleading logarithmic BFKL resummations. United States. doi:10.1103/PHYSREVD.75.034005.
White, C D, and Thorne, R S. Thu .
"Global fit to scattering data with nexttoleading logarithmic BFKL resummations". United States. doi:10.1103/PHYSREVD.75.034005.
@article{osti_21010981,
title = {Global fit to scattering data with nexttoleading logarithmic BFKL resummations},
author = {White, C D and Thorne, R S},
abstractNote = {We calculate deep inelastic scattering (DIS) scheme splitting and coefficient functions for electromagnetic DIS with small x resummations, as given by the nexttoleadinglogarithmic BalitskyFadinKuraevLipatov (NLL BFKL) equation with running coupling and approximate NLL resummed impact factors. The resummations are combined with a nexttoleading order (NLO) fixedorder 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 fixedorder 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 fixedorder 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 fixedorder results show a significant perturbative instability.},
doi = {10.1103/PHYSREVD.75.034005},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 3,
volume = 75,
place = {United States},
year = {2007},
month = {2}
}