BFKL News

TL;DR

This paper analyzes radiative corrections to the BFKL equation in perturbative QCD, focusing on next-to-leading logarithmic (NLLA) terms to stabilize predictions at high energies.It derives the two-loop Reggeized gluon trajectory, one-gluon production corrections, and the two-particle (gluon and quark-antiquark) production contributions to the BFKL kernel, addressing MRK and QMRK separations and infrared cancellations.The results yield a corrected BFKL Pomeron intercept and a modified eigenvalue function, with significant implications for the growth of cross sections and for the near-j=1 anomalous dimensions of twist-2 operators, while highlighting the importance of running coupling and kinematic boundaries.Overall, the work provides a comprehensive framework for NLLA BFKL dynamics, clarifying when and how the LLA picture is modified and offering quantitative guidance for phenomenology at HERA and related high-energy processes.

Abstract

I discuss radiative corrections to the BFKL equation for high energy cross sections in perturbative QCD. Due to the gluon Reggeization in the next-to-leading $\ln s$ approximation, the form of the BFKL equation remains unchanged and the corrections to the BFKL kernel are expressed in terms of the two-loop contribution to the gluon Regge trajectory, the one-loop correction to the Reggeon-Reggeon-gluon vertex and the contributions from two-gluon and quark-antiquark production in Reggeon-Reggeon collisions. I present the results of the calculation of the BFKL kernel in the next-to leading logarithmic approximation, the estimate of the Pomeron shift and the next-to-leading contribution to the anomalous dimensions of twist-2 operators near $j=1$.