Hard scale dependent gluon density, saturation and forward-forward dijet production at the LHC

TL;DR

This paper introduces a method to incorporate Sudakov effects into unintegrated gluon densities, making them dependent on the hard scale, and demonstrates its application to forward-forward dijet production at the LHC.

Contribution

The paper presents a novel approach to include Sudakov effects in gluon densities, ensuring positivity and proper cancellation at the integrated level.

Findings

Successful implementation of the method in calculating angular correlations.

Application to p+p and p+Pb collisions at the LHC.

Insights into gluon saturation effects at high energies.

Abstract

We propose a method to introduce Sudakov effects to the unintegrated gluon density promoting it to be hard scale dependent. The advantage of the approach is that it guarantees that the gluon density is positive definite and that the Sudakov effects cancel on integrated level. As a case study we apply the method to calculate angular correlations and $R_{pA}$ ratio for p+p vs. p+Pb collision in the production of forward-forward dijets.