Collinear improvement of the BFKL kernel in the electroproduction of two light vector mesons

TL;DR

This paper investigates the impact of a renormalization group-improved BFKL kernel on the electroproduction of two light vector mesons, demonstrating improved energy dependence and scale setting in the NLA framework.

Contribution

It introduces a RG-improved BFKL kernel and tests its effectiveness in a physical process, showing enhanced stability and more realistic scale choices.

Findings

Achieves smooth energy dependence of the amplitude

Sets renormalization and energy scales closer to kinematic scales

Demonstrates improved stability over unimproved kernels

Abstract

The use of the BFKL kernel improved by the inclusion of subleading terms generated by renormalization group (RG) analysis has been suggested to cure the instabilities in the behavior of the BFKL Green's function in the next-to-leading approximation (NLA). We test the performance of a RG-improved kernel in the determination of the amplitude of a physical process, the electroproduction of two light vector mesons, in the BFKL approach in the NLA. We find that a smooth behavior of the amplitude with the center-of-mass energy can be achieved, setting the renormalization and energy scales appearing in the subleading terms to values much closer to the kinematical scales of the process than in the approaches based on the unimproved kernel.