# Evaluation of Entanglement Entropy in High Energy Elastic Scattering

## TL;DR

This paper investigates the entanglement entropy generated in high-energy elastic scattering, specifically proton-proton collisions, and finds significant entanglement persists even at collider energies.

## Contribution

It introduces a regularization method for evaluating entanglement entropy in high-energy elastic scattering and applies it to proton-proton collisions at collider energies.

## Key findings

- Significant entanglement entropy persists at high energies.
- Regularization methods effectively evaluate entanglement in scattering.
- Entanglement remains substantial even at the highest collider energies.

## Abstract

Entanglement of the two scattered particles is expected to occur in elastic collisions, even at high energy where they are in competition with inelastic ones. We study how to evaluate quantitatively the corresponding entanglement entropy $S_{\rm EE}.$ For this sake, we regularize the divergences occurring in the formal derivation of $S_{\rm EE}$ using a regularization procedure acting on the two-particle Hilbert space of final states. A quantitative application is performed in proton-proton collisions at collider energies, comparing the results of $S_{\rm EE}$ with two different cut-offs and with a volume-regularization obtained by a prescription fixing the finite two-body Hilbert space volume. A significant entanglement is found which persists even at the highest available energies.