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

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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-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.

fields

hep-ph 1

years

2026 1

verdicts

CONDITIONAL 1

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  • Gluonic nucleon energy correlators and fracture functions for Color Glass Condensate hep-ph · 2026-08-11 · conditional · none · ref 136 · internal anchor

    Gluonic nucleon energy correlators in the CGC reduce at eikonal accuracy to the unpolarized and linearly polarized gluon components, both given by the adjoint dipole S-matrix, and the linearly polarized one drives a saturation-sensitive cos 2phi asymmetry in DIS.