Understanding Bell locality tests at colliders

TL;DR

This paper explores how Bell-like inequalities can be used to test local hidden variable theories in collider experiments involving muon and tau pairs, challenging longstanding assumptions.

Contribution

It introduces a framework for testing local hidden variable theories at colliders under mild assumptions, enabling experimental disproofs.

Findings

Bell-like inequalities can be applied to collider data involving muon and tau pairs.

Local hidden variable theories can be tested and potentially disproved with these inequalities.

The approach broadens the scope of collider experiments in fundamental physics.

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 $\mu^+ \mu^-$ and $\tau^+ \tau^-$ pairs.