Unintegrated Gluon Distributions as Probability Densities for QCD Dynamical Entropy

We present a systematic procedure for constructing normalized transverse momentum probability distributions from phenomenological unintegrated gluon distributions (UGDs). These distributions provide the probabilistic foundation of the QCD dynamical entropy formalism and can be employed in the evaluation of other statistical observables. The method is illustrated using the Golec‐Biernat–Wüsthoff and Moriggi–Peccini–Machado models and extended to proton–nucleus collisions through the geometric scaling and Glauber–Gribov approaches. As an application, the corresponding QCD dynamical entropy is evaluated, demonstrating the consistency of the proposed framework for both proton and nuclear targets.