Probing entanglement and testing Bell inequality violation with
$\textrm{e}^{+}\textrm{e}^{-} \rightarrow \tau^{+}\tau^{-}$ at Belle II
- URL: http://arxiv.org/abs/2311.17555v2
- Date: Wed, 17 Jan 2024 09:35:32 GMT
- Title: Probing entanglement and testing Bell inequality violation with
$\textrm{e}^{+}\textrm{e}^{-} \rightarrow \tau^{+}\tau^{-}$ at Belle II
- Authors: Karl Ehat\"aht, Marco Fabbrichesi, Luca Marzola, Christian Veelken
- Abstract summary: We analyze events in which both $tau$ leptons decay to hadrons.
We expect the observation of quantum entanglement and Bell inequality violation by the Belle-II experiment will be possible.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We present a feasibility study to probe quantum entanglement and Belle
inequality violation in the process $\textrm{e}^{+}\textrm{e}^{-} \rightarrow
\tau^{+}\tau^{-}$ at a center-of-mass energy of $\sqrt{s} = 10.579$ GeV. The
sensitivity of the analysis is enhanced by applying a selection on the
scattering angle $\vartheta$ in the $\tau^{+}\tau^{-}$ center-of-mass frame. We
analyze events in which both $\tau$ leptons decay to hadrons, using a
combination of decay channels $\tau^{-} \rightarrow \pi^{-}\nu_{\tau}$,
$\tau^{-} \rightarrow \pi^{-}\pi^{0}\nu_{\tau}$, and $\tau^{-} \rightarrow
\pi^{-}\pi^{+}\pi^{-}\nu_{\tau}$. The spin orientation of the $\tau$ leptons in
these decays is reconstructed using the polarimeter-vector method. Assuming a
dataset of $200$ million $\tau^{+}\tau^{-}$ events and accounting for
experimental resolutions, we expect the observation of quantum entanglement and
Bell inequality violation by the Belle-II experiment will be possible with a
significance well in excess of five standard deviations.
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