{"title":"Long-Range Azimuthal Correlation, Entanglement, and Bell Inequality Violation by Spinning Gluons at the Large Hadron Collider.","authors":"Yuxun Guo, Xiaohui Liu, Feng Yuan, Hua Xing Zhu","doi":"10.34133/research.0552","DOIUrl":null,"url":null,"abstract":"<p><p>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 <math><mtext>cos</mtext> <mo>(</mo> <mrow><mn>2</mn> <mi>ϕ</mi></mrow> <mo>)</mo></math> asymmetries in both Higgs boson and top quark pair productions, where <math><mi>ϕ</mi></math> is the azimuthal angle between the forward and backward energy correlators in the NEEC observables. The genesis of the <math><mtext>cos</mtext> <mo>(</mo> <mrow><mn>2</mn> <mi>ϕ</mi></mrow> <mo>)</mo></math> correlation lies in the intricate quantum entanglement. Owing to the substantial <math><mtext>cos</mtext> <mo>(</mo> <mrow><mn>2</mn> <mi>ϕ</mi></mrow> <mo>)</mo></math> effect, the NEEC observable in Higgs boson and <math><mi>t</mi> <mover><mi>t</mi> <mo>¯</mo></mover> </math> production emerges as a pivotal avenue for delving into quantum entanglement and scrutinizing the Bell inequality at high-energy colliders.</p>","PeriodicalId":21120,"journal":{"name":"Research","volume":"8 ","pages":"0552"},"PeriodicalIF":11.0000,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11794766/pdf/","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Research","FirstCategoryId":"103","ListUrlMain":"https://doi.org/10.34133/research.0552","RegionNum":1,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/1/1 0:00:00","PubModel":"eCollection","JCR":"Q1","JCRName":"Multidisciplinary","Score":null,"Total":0}
引用次数: 0
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 Large Hadron Collider. The spinning gluon in these collisions will introduce substantial nonzero asymmetries in both Higgs boson and top quark pair productions, where is the azimuthal angle between the forward and backward energy correlators in the NEEC observables. The genesis of the correlation lies in the intricate quantum entanglement. Owing to the substantial effect, the NEEC observable in Higgs boson and production emerges as a pivotal avenue for delving into quantum entanglement and scrutinizing the Bell inequality at high-energy colliders.
期刊介绍:
Research serves as a global platform for academic exchange, collaboration, and technological advancements. This journal welcomes high-quality research contributions from any domain, with open arms to authors from around the globe.
Comprising fundamental research in the life and physical sciences, Research also highlights significant findings and issues in engineering and applied science. The journal proudly features original research articles, reviews, perspectives, and editorials, fostering a diverse and dynamic scholarly environment.