New observables for testing Bell inequalities in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>W</mml:mi></mml:math> boson pair production
Qi Bi, Qing-Hong Cao, Kun Cheng, Hao Zhang
Abstract
We show that testing Bell inequalities in <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msup><a:mi>W</a:mi><a:mo>±</a:mo></a:msup></a:math> pair systems by measuring their angular correlation suffers from the ambiguity in kinetical reconstruction of the dilepton decay mode. We further propose a new set of Bell observables based on the measurement of the linear polarization of the <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>W</c:mi></c:math> bosons that can be used in the semileptonic decay mode of <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msup><e:mi>W</e:mi><e:mo>±</e:mo></e:msup></e:math> pair, and we analyze the prospects of testing the violation of Bell inequalities at <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msup><g:mi>e</g:mi><g:mo>+</g:mo></g:msup><g:msup><g:mi>e</g:mi><g:mo>−</g:mo></g:msup></g:math> colliders. Published by the American Physical Society 2024