BFKL Amplitude Parametrisation for the Jet-Gap-Jet Events at the LHC Energies

TL;DR

This paper develops a precise parametrisation of the BFKL scattering amplitude for jet-gap-jet events at LHC energies, improving the accuracy of theoretical predictions in high-energy QCD processes.

Contribution

It introduces new parametrisation formulas for the BFKL amplitude at LL and NLL levels, considering all conformal spins, with high accuracy.

Findings

Agreement better than 0.25% for LL approximation

Agreement better than 1% for NLL approximation

Provides a reliable tool for modeling jet-gap-jet events at LHC energies

Abstract

The process of jet-gap-jet (JGJ) production is briefly described. The JGJ scattering amplitude parametrisation is discussed. On the basis of full amplitude calculations, the parametrisation formulas for the leading logarithmic (LL) and next-to-leading logarithmic (NLL) approximations are obtained. For each case a sum over all conformal spins is considered. The obtained agreement is better than 0.25% for LL and 1% for NLL.