Virtual Next-to-Leading Corrections to the Impact Factors in the High-Energy Limit

TL;DR

Addresses the computation of virtual NLO corrections to impact factors in the high-energy limit to enable BFKL resummation at NLL for jet production. Employs high-energy factorization and multi-Regge kinematics to extract 1-loop corrections to the off-shell g*g→g and g*q→q vertices from existing 1-loop amplitudes, with results presented in several dimensional schemes. Provides explicit dispersive (and absorptive) parts for the g*g→g and g*q→q vertices and validates them against prior CDR calculations. When combined with known real corrections, these provide complete NLO impact factors, reducing scale and energy–momentum uncertainties in NLL BFKL predictions for collider jets and clarifying renormalization/factorization-scale dependence.

Abstract

We compute the virtual next-to-leading corrections to the impact factors or off-shell coefficient functions in the high-energy limit. When combined with the known real corrections, these results will provide the complete NLO corrections to the impact factors, which are necessary to use the BFKL resummation at NLL for jet production at both lepton-hadron and hadron-hadron colliders.