Long Range Azimuthal Correlation, Entanglement and Bell Inequality Violation by Spinning Gluons at the LHC

TL;DR

This paper explores how spinning gluons in proton-proton collisions at the LHC induce azimuthal correlations linked to quantum entanglement, offering new ways to test Bell inequalities in high-energy physics.

Contribution

It introduces the use of the nucleon energy-energy correlator (NEEC) to study gluon entanglement effects in collider experiments, connecting quantum entanglement with observable azimuthal correlations.

Findings

Spinning gluons generate significant $ ext{cos}(2 heta)$ asymmetries in Higgs and top quark pair production.

NEEC can serve as a probe for quantum entanglement and Bell inequality violations at the LHC.

Long-range azimuthal correlations are linked to gluon quantum entanglement.

Abstract

We apply the recently developed concept of the nucleon energy-energy correlator (NEEC) for the gluon sector to investigate the long-range azimuthal angular correlations in proton-proton collisions at the LHC. The spinning gluon in these collisions will introduce a significant nonzero $\cos(2\phi)$ asymmetries in both Higgs Boson and top quark pair productions. The genesis of the $\cos(2\phi)$ correlation lies in the intricate quantum entanglement. Owing to the substantial $\cos(2\phi)$ effect, the NEEC observable in Higgs Boson and $t{\bar t}$ production emerges as a pivotal avenue for delving into quantum entanglement and scrutinizing the Bell inequality at high-energy colliders.