Precise determination of pomeron intercept via scaling entropy analysis

TL;DR

This paper demonstrates that scaling entropy from event multiplicities can effectively determine the Pomeron intercept, offering a new method to analyze geometric scaling in deep inelastic scattering data.

Contribution

It introduces a novel approach using scaling entropy to precisely determine the Pomeron intercept from experimental data, enhancing understanding of parton saturation.

Findings

Scaling entropy and inclusive cross section are equivalent in the studied kinematic range.

The method accurately determines the Pomeron intercept from multiplicity data.

Potential to improve constraints in future collider experiments.

Abstract

In this work, we confront the geometrical scaling properties of inclusive DIS cross section ($e+p\rightarrow e +X$) with the scaling entropy obtained from event multiplicity. We show that these two quantities are equivalent in the kinematic range probed by H1 Collaboration data. We propose that scaling entropy associated with partonic interactions is a more efficient way to detect scaling in experimental data. We used a combined analysis of the inclusive cross section and entropy obtained from multiplicities $P(N)$ of final-state hadrons to accurately determine the value of the Pomeron intercept. The approach could provide new constraints for future hadron collider experiments and deepen our understanding of parton saturation.