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Quark loop contribution to BFKL evolution: Running coupling and leading- NLO intercept

2006/12/31 by Yuri V. Kovchegov, Heribert Weigert
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.nuclphysa.2007.03.008

published as Nucl.Phys.A789:260-284,2007 · 27 pages; v2: some typos corrected, more discussion and references added, the version to be published in Nucl. Phys. A

arxiv created 2007/03/06 · openalex publication_date 2007/03/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

We study the sea quark contribution to the BFKL kernel in the framework of Mueller's dipole model using the results of our earlier calculation. We first obtain the BFKL equation with the running coupling constant. We observe that the ``triumvirate'' structure of the running coupling found previously for non-linear evolution equations is preserved for the BFKL equation. In fact, we rederive the equation conjectured by Levin and by Braun, albeit for the unintegrated gluon distribution with a slightly unconventional normalization. We obtain the leading-Nf contribution to the NLO BFKL kernel in transverse momentum space and use it to calculate the leading-Nf contribution to the NLO BFKL pomeron intercept for the unintegrated gluon distribution. Our result agrees with the well-known results of Camici and Ciafaloni and of Fadin and Lipatov. We show how to translate this intercept to the case of the quark dipole scattering amplitude and find that it maps onto the expression found by Balitsky.

Citations