Publications by Luca Rottoli


Maximal Entanglement in High Energy Physics

SciPost Physics Stichting SciPost 3 (0) 036

A Cervera-Lierta, J Latorre, J Rojo, L Rottoli

<jats:p>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: <jats:italic>i)</jats:italic><jats:inline-formula><jats:alternatives><jats:tex-math>s</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>s</mml:mi></mml:math></jats:alternatives></jats:inline-formula>-channel processes where the virtual photon carries equal overlaps of the helicities of the final state particles, and <jats:italic>ii)</jats:italic> the indistinguishable superposition between <jats:inline-formula><jats:alternatives><jats:tex-math>t</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi></mml:math></jats:alternatives></jats:inline-formula>- and <jats:inline-formula><jats:alternatives><jats:tex-math>u</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>u</mml:mi></mml:math></jats:alternatives></jats:inline-formula>-channels. We then study whether <jats:italic>requiring</jats:italic> 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 to reproduce QED. For <jats:inline-formula><jats:alternatives><jats:tex-math>Z</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Z</mml:mi></mml:math></jats:alternatives></jats:inline-formula>-mediated weak scattering, the maximal entanglement principle leads to non-trivial predictions for the value of the weak mixing angle <jats:inline-formula><jats:alternatives><jats:tex-math>\theta_W</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>θ</mml:mi><mml:mi>W</mml:mi></mml:msub></mml:math></jats:alternatives></jats:inline-formula>. Our results are a first step towards understanding the connections between maximal entanglement and the fundamental symmetries of high-energy physics.</jats:p>


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