Eur. Phys. J. C (2014) 74: 3030
https://doi.org/10.1140/epjc/s10052-014-3030-0

Regular Article - Theoretical Physics

BFKL equation for an integrated gluon density

¹ Departamento de Física, CFM, Universidade Federal de Santa Catarina, C.P. 476, Florianópolis, SC, CEP 88.040-900, Brazil
² Institute for Particle Physics Phenomenology, University of Durham, Durham, DH1 3LE, UK
³ Petersburg Nuclear Physics Institute, NRC Kurchatov Institute, Gatchina, St. Petersburg, 188300, Russia

^* e-mail: a.d.martin@durham.ac.uk

Received: 13 June 2014
Accepted: 10 August 2014
Published online: 23 August 2014

Abstract

We show how it is possible to rewrite the BFKL equation for the unintegrated gluon distribution, in terms of integrated gluons, similar to that used in DGLAP. We add to our equation the next-to-leading log terms which provide exact energy-momentum conservation and account for the kinematic constraint in real gluon emission. In this way the equation includes the major part of the higher-order corrections to BFKL evolution. We discuss the possibility to obtain a unified BFKL–DGLAP evolution equation relevant to processes at the LHC where both log and log are large simultaneously.