Saturation corrections to dilute-dense particle production and azimuthal correlations in the Color Glass Condensate

TL;DR

This paper investigates higher order saturation effects in particle production during high-energy hadronic collisions within the Color Glass Condensate framework, comparing analytical and numerical approaches to determine the approximation's validity.

Contribution

It provides a detailed numerical analysis of saturation corrections, establishing the regime where the dilute-dense approximation remains accurate in high-energy collisions.

Findings

Dilute-dense approximation matches dense-dense results within its validity range.

Higher order saturation corrections are quantitatively assessed.

Numerical simulations confirm the regime of applicability for the approximation.

Abstract

We perform a numerical study of higher order saturation corrections to the dilute-dense approximation for multi-particle production in high-energy hadronic collisions in the framework of the Color Glass Condensate. We compare semi-analytical results obtained by performing a leading order expansion in the dilute field of the projectile with numerical simulations of the full Classical Yang-Mills dynamics for a number of phenomenologically relevant observables. By varying the saturation momentum of the target and the projectile, we establish the regime of validity of the dilute-dense approximation and assess the magnitude and basic features of higher order saturation corrections. In particular, we find that dilute-dense approximation faithfully reproduces dense-dense results if restricted to the range of its validity.