Investigating the QCD dynamical entropy in high-energy hadronic collisions

TL;DR

This paper explores the dynamical entropy of dense gluonic states in high-energy proton-proton collisions using phenomenological models, providing insights into entropy evolution at LHC energies.

Contribution

It introduces a method to calculate the dynamical entropy density of dense gluonic states in proton collisions, incorporating rapidity dependence and comparing with existing approaches.

Findings

Entropy density increases with rapidity

Theoretical uncertainties are quantified

Comparison with literature shows consistent trends

Abstract

The dynamical entropy of dense gluonic states in proton-proton collisions at high energies is studied by using phenomenological models for the unintegrated gluon distribution. The corresponding transverse momentum probability distributions are evaluated in terms of rapidity. The dynamical entropy density is obtained in the rapidity range relevant for the collisions at the Large Hadron Collider. The total entropy density for the dense system is computed as a function of the rapidity evolution $\Delta Y = Y-Y_0$ given an initial rapidity $Y_0$. The theoretical uncertainties are investigated and comparison with related approaches in literature is done.