# Maximal Entanglement in High Energy Physics

Alba Cervera-Lierta, José I. Latorre, Juan Rojo, Luca Rottoli

## 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 illustrate the deep connections between maximal entanglement and the fundamental symmetries of high-energy physics.
Original language English 036 1-18 18 SciPost Physics 3 036 https://doi.org/10.21468/SciPostPhys.3.5.036 Published - 8 Mar 2017

### Bibliographical note

five pages, one figure

• hep-th
• hep-ph
• quant-ph

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