Monte Carlo techniques in small-x physics: Formal studies and phenomenology

TL;DR

This paper employs Monte Carlo methods to numerically solve the BFKL equation in N=4 SUSY theory at LO and NLO, analyzing the gluon Green's function and exploring implications for LHC phenomenology.

Contribution

It introduces a Monte Carlo approach to solve the BFKL equation directly in transverse momentum space at LO and NLO in N=4 SUSY, facilitating phenomenological studies.

Findings

Numerical solutions for the gluon Green's function at LO and NLO.

Infrared divergences are factorized in the momentum space formulation.

Discussion on the potential to search for the BKP Odderon at the LHC.

Abstract

We discuss the solution to the BFKL equation in the adjoint representation at LO and NLO accuracy for the N = 4 SUSY theory. We use Monte Carlo techniques to study numerically the Gluon Green's function at LO and NLO directly written in the transverse momentum space which allows for the factorization of its infrared divergencies. Finally, we discuss the applicability of our approach to phenomenological searches for the BKP Odderon at the LHC.