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Understanding Bell locality tests at colliders

J. A. Aguilar-Saavedra, J. A. Casas, J. M. Moreno

Abstract

For decades, it has been known that local hidden variable theories cannot be disproved by collider experiments involving decaying particles. However, if these theories satisfy a small set of mild assumptions, they become testable. In particular, they can be disproved using Bell-like inequalities for $μ^+ μ^-$ and $τ^+ τ^-$ pairs.

Understanding Bell locality tests at colliders

Abstract

For decades, it has been known that local hidden variable theories cannot be disproved by collider experiments involving decaying particles. However, if these theories satisfy a small set of mild assumptions, they become testable. In particular, they can be disproved using Bell-like inequalities for and pairs.
Paper Structure (8 sections, 23 equations)

This paper contains 8 sections, 23 equations.

Table of Contents

  1. Introduction
  2. Spin correlations from momentum correlations.
  3. Continuous and binary observables
  4. Determination of $\alpha$
  5. Measuring $\alpha$ for lepton decays
  6. Testing locality with lepton pairs
  7. Interpretation and discussion
  8. CHSH-like bound for continuous vector variables