Investigating the QCD dynamical entropy in high-energy hadronic collisions

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.