Pomeron evolution, entanglement entropy and Abramovskii-Gribov-Kancheli cutting rules

TL;DR

This paper develops a Pomeron evolution model in Euclidean space to calculate entanglement entropy and $q$-moments, successfully matching experimental data on proton-proton collisions without adjustable parameters.

Contribution

It reformulates Pomeron evolution to ensure positive probabilities and tests the model against experimental data, providing new insights into particle collision scaling behaviors.

Findings

Successfully describes $q$-moments dependence on mean multiplicity

Reformulation avoids negative probabilities in Pomeron evolution

Matches ALICE Collaboration experimental data without adjustable parameters

Abstract

We use Pomeron evolution equation in zero transverse dimension based on the Abramovskii-Gribov-Kancheli~(AGK) cutting rules to calculate the von Neumann entropy and $q$-moments that used as an experimental test for the Koba-Nielsen-Olesen~(KNO) scaling. In order to avoid the negative probabilities that emerge from the negative AGK weights in the Minkowski space, we reformulate the Pomeron evolution in the Euclidean space. The resulting positive definite probabilities for cut and uncut Pomerons are used in calculating the $q$-moments. The comparison to the experimental data shows that our AGK based model successfully describes $q$-moments dependence on the mean multiplicity without any adjustable parameter in the experimental data of the $\mathtt{p-p}$ collisions by $\mathtt{ALICE}$ Collaboration.