# 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 1-18 18 SciPost Physics 3 036 https://doi.org/10.21468/SciPostPhys.3.5.036 Published - 8 Mar 2017

### Fingerprint

photon-electron interaction
physics
symmetry
scattering
requirements
energy
photons
predictions

### Bibliographical note

five pages, one figure

• hep-th
• hep-ph
• quant-ph

### Cite this

Cervera-Lierta, A., Latorre, J. I., Rojo, J., & Rottoli, L. (2017). Maximal Entanglement in High Energy Physics. SciPost Physics, 3(036), 1-18. https://doi.org/10.21468/SciPostPhys.3.5.036
Cervera-Lierta, Alba ; Latorre, José I. ; Rojo, Juan ; Rottoli, Luca. / Maximal Entanglement in High Energy Physics. In: SciPost Physics. 2017 ; Vol. 3, No. 036. pp. 1-18.
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Cervera-Lierta, A, Latorre, JI, Rojo, J & Rottoli, L 2017, 'Maximal Entanglement in High Energy Physics' SciPost Physics, vol. 3, no. 036, pp. 1-18. https://doi.org/10.21468/SciPostPhys.3.5.036

Maximal Entanglement in High Energy Physics. / Cervera-Lierta, Alba; Latorre, José I.; Rojo, Juan; Rottoli, Luca.

In: SciPost Physics, Vol. 3, No. 036, 08.03.2017, p. 1-18.

TY - JOUR

T1 - Maximal Entanglement in High Energy Physics

AU - Cervera-Lierta, Alba

AU - Latorre, José I.

AU - Rojo, Juan

AU - Rottoli, Luca

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PY - 2017/3/8

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N2 - 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.

AB - 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.

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KW - hep-ph

KW - quant-ph

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