Prospects of measuring quantum entanglement in $\tau \tau$ final states at a future $e^{+}{e}^{-}$ Higgs factory

Abstract

We introduce a method to study quantum entanglement at a future $e^{+}{e}^{-}$ Higgs factory (here the Future Circular Collider colliding $e^{+}$ and $e^{-}$ (FCC-ee) operating at $\sqrt{s}=240\mathrm{GeV}$) in the $\tau \tau$ final state. This method is focused on the $\tau \to \pi {\nu }_{\tau }$ decay. We show how the introduced method works on simulated events without detector effects. When detector effects are applied, the necessary $\tau$ four-momenta can be reconstructed from kinematic constraints. We will discuss the advantages of $e^{+}{e}^{-}$ collisions over $pp$ collisions where the reconstruction of the $\tau \tau$ rest frame is more difficult. This discussion will focus on the influence of $p_T$ trigger cuts on the visible ${\pi }^{\pm }$ in the $\tau$ lepton decay.

References in corpus (4)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Research on Hidden Variable Theories: a review of recent progresses
• Constraining new physics in entangled two-qubit systems: top-quark, tau-lepton and photon pairs
• Quantum information and CP measurement in $H\to {\tau }^{+}{\tau }^{-}$ at future lepton colliders

Cited by in corpus (1)

• Colliders are not Testing Locality via Bell's Inequality nor Providing an Unconditional Proof of Entanglement