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

Kavli Affiliate: Feng Yuan

| First 5 Authors: Yuxun Guo, Xiaohui Liu, Feng Yuan, Hua Xing Zhu,

| Summary:

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 $cos(2phi)$
asymmetries in both Higgs Boson and top quark pair productions. The genesis of
the $cos(2phi)$ correlation lies in the intricate quantum entanglement. Owing
to the substantial $cos(2phi)$ 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.

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