Evolution in opening angle combining DGLAP and BFKL logarithms

TL;DR

This paper introduces a unified evolution equation that combines BFKL and DGLAP logarithms based on the gluon emission angle, improving simulations of high-energy proton interactions at small x.

Contribution

It presents a novel evolution equation that simultaneously sums leading BFKL and DGLAP logarithms using the gluon emission angle, suitable for Monte Carlo simulations.

Findings

Unified evolution equation for gluon distribution

Applicable to high-energy pp and par{p} interactions

Enhances small x event simulations

Abstract

We present an evolution equation which simultaneously sums the leading BFKL and DGLAP logarithms for the integrated gluon distribution in terms of a single variable, namely the emission angle of the gluon. This form of evolution is appropriate for Monte Carlo simulations of events of high energy pp (and p\bar{p}) interactions, particularly where small x events are sampled.