Closer look at postdecay <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math> entanglement
J. A. Aguilar–Saavedra
Abstract
Top pair production is ideally suited to observe postdecay entanglement, thus providing a novel test of quantum mechanics. We provide top polarized decay amplitudes that can be used to compute semianalytical predictions and, in particular, to better understand the postdecay entanglement arises. We obtain predictions for the LHC, identifying general phase space regions where experimental measurements of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi>t</a:mi><a:mi>W</a:mi></a:mrow></a:math> entanglement are feasible. We also give predictions for polarized <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msup><c:mi>e</c:mi><c:mo>+</c:mo></c:msup><c:msup><c:mi>e</c:mi><c:mo>−</c:mo></c:msup></c:math> collisions, focusing on the possibility that the postdecay <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>t</e:mi><e:mi>W</e:mi></e:math> entanglement is larger than the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi>t</g:mi><g:mover accent="true"><g:mi>t</g:mi><g:mo stretchy="false">¯</g:mo></g:mover></g:math> one. Published by the American Physical Society 2024