# Maximal Entanglement in High Energy Physics

## TL;DR

This paper investigates how maximal entanglement arises in high-energy particle scattering processes in QED and weak interactions, revealing mechanisms and potential constraints on fundamental couplings and symmetries.

## Contribution

It identifies mechanisms generating maximal entanglement in high-energy scattering and explores how entanglement requirements can constrain gauge interactions and predict parameters like the weak mixing angle.

## Key findings

- Maximal entanglement arises from s-channel and t/u-channel superpositions.
- Entanglement constraints can reproduce QED coupling structures.
- Predictions for the weak mixing angle from entanglement considerations.

## Abstract

We analyze how maximal entanglement is generated at the fundamental level in QED by studying correlations between helicity states in tree-level scattering processes at high energy. We demonstrate that two mechanisms for the generation of maximal entanglement are at work: i) $s$-channel processes where the virtual photon carries equal overlaps of the helicities of the final state particles, and ii) the indistinguishable superposition between $t$- and $u$-channels. We then study whether requiring maximal entanglement constrains the coupling structure of QED and the weak interactions. In the case of photon-electron interactions unconstrained by gauge symmetry, we show how this requirement allows reproducing QED. For $Z$-mediated weak scattering, the maximal entanglement principle leads to non-trivial predictions for the value of the weak mixing angle $\theta_W$. Our results are a first step towards understanding the connections between maximal entanglement and the fundamental symmetries of high-energy physics.