Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-12-06
Nucl.Phys.A789:260-284,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
27 pages; v2: some typos corrected, more discussion and references added, the version to be published in Nucl. Phys. A
Scientific paper
10.1016/j.nuclphysa.2007.03.008
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-N_f contribution to the NLO BFKL kernel in transverse momentum space and use it to calculate the leading-N_f 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.
Kovchegov Yuri V.
Weigert Heribert
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