We present a small x resummation for the GLAP anomalous dimension and its corresponding dual BFKL kernel, which includes all the available perturbative information and non-perturbative constraints. Specifically, it includes all the information coming from next-to-leading order GLAP anomalous dimensions and BFKL kernels, from the constraints of momentum conservation, from renormalization-group improvement of the running coupling and from gluon interchange symmetry. The ensuing evolution kernel has a uniformly stable perturbative expansion. It is very close to the unresummed NLO GLAP kernel in most of the HERA kinematic region, the small x BFKL behaviour being softened by momentum conservation and the running of the coupling. Next-to-leading corrections are small thanks to the constraint of gluon interchange symmetry. This result subsumes all previous resummations in that it combines optimally all the information contained in them.

Perturbatively stable resummed small x evolution kernels / Guido Altarelli, Richard D. Ball, Stefano Forte. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 742:1-3(2006), pp. 1-40. [10.1016/j.nuclphysb.2006.01.046]

Perturbatively stable resummed small x evolution kernels

S. Forte
2006

Abstract

We present a small x resummation for the GLAP anomalous dimension and its corresponding dual BFKL kernel, which includes all the available perturbative information and non-perturbative constraints. Specifically, it includes all the information coming from next-to-leading order GLAP anomalous dimensions and BFKL kernels, from the constraints of momentum conservation, from renormalization-group improvement of the running coupling and from gluon interchange symmetry. The ensuing evolution kernel has a uniformly stable perturbative expansion. It is very close to the unresummed NLO GLAP kernel in most of the HERA kinematic region, the small x BFKL behaviour being softened by momentum conservation and the running of the coupling. Next-to-leading corrections are small thanks to the constraint of gluon interchange symmetry. This result subsumes all previous resummations in that it combines optimally all the information contained in them.
Renormalisation ; structure functions
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
2006
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/24015
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