Lawrence Berkeley National Laboratory

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 Large Hadron Collider. The spinning gluon in these collisions will introduce substantial nonzero cos ( 2 ϕ ) asymmetries in both Higgs boson and top quark pair productions, where ϕ is the azimuthal angle between the forward and backward energy correlators in the NEEC observables. The genesis of the cos ( 2 ϕ ) correlation lies in the intricate quantum entanglement. Owing to the substantial cos ( 2 ϕ ) effect, the NEEC observable in Higgs boson and t t ¯ production emerges as a pivotal avenue for delving into quantum entanglement and scrutinizing the Bell inequality at high-energy colliders.