Testing Bell inequality through at CEPC* * Tong Li is Supported by the National Natural Science Foundation of China (12375096, 12035008, 11975129), and "the Fundamental Research Funds for the Central Universities", Nankai University (63196013). Kai Ma was supported by the Natural Science Basic Research Program of Shaanxi Province, China (2023-JC-YB-041) and the Innovation Capability Support Program of Shaanxi Province, China (2021KJXX-47)
{"title":"Testing Bell inequality through at CEPC* * Tong Li is Supported by the National Natural Science Foundation of China (12375096, 12035008, 11975129), and \"the Fundamental Research Funds for the Central Universities\", Nankai University (63196013). Kai Ma was supported by the Natural Science Basic Research Program of Shaanxi Province, China (2023-JC-YB-041) and the Innovation Capability Support Program of Shaanxi Province, China (2021KJXX-47)","authors":"Kai Ma, Tong Li","doi":"10.1088/1674-1137/ad62d8","DOIUrl":null,"url":null,"abstract":"The decay of Higgs boson into two spin-1/2 particles provides an ideal system to reveal quantum entanglement and Bell-nonlocality. Future <inline-formula>\n<tex-math><?CDATA $ e^+e^- $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_10_103105_M2.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> colliders can improve the measurement accuracy of the spin correlation of tau lepton pairs from Higgs boson decay. We show the testability of Bell inequality through <inline-formula>\n<tex-math><?CDATA $ h{\\rightarrow} \\tau\\tau $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_10_103105_M3.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> at Circular Electron Positron Collider (CEPC). Two realistic methods of testing Bell inequality are investigated, <italic toggle=\"yes\">i.e</italic>., Törnqvist's method and Clauser-Home-Shimony-Holt (CHSH) inequality. In the simulation, we consider the detector effects of CEPC including uncertainties for tracks and jets from <italic toggle=\"yes\">Z</italic> boson in the production of <inline-formula>\n<tex-math><?CDATA $ e^+e^-{\\rightarrow} Zh $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_10_103105_M4.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>. Necessary reconstruction approaches are described to measure quantum entanglement between <inline-formula>\n<tex-math><?CDATA $ \\tau^+ $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_10_103105_M5.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and <inline-formula>\n<tex-math><?CDATA $ \\tau^- $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_10_103105_M6.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>. Finally, we show the sensitivity of CEPC to Bell inequality violation for the two methods.","PeriodicalId":10250,"journal":{"name":"中国物理C","volume":"18 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"中国物理C","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1674-1137/ad62d8","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
引用次数: 0
Abstract
The decay of Higgs boson into two spin-1/2 particles provides an ideal system to reveal quantum entanglement and Bell-nonlocality. Future colliders can improve the measurement accuracy of the spin correlation of tau lepton pairs from Higgs boson decay. We show the testability of Bell inequality through at Circular Electron Positron Collider (CEPC). Two realistic methods of testing Bell inequality are investigated, i.e., Törnqvist's method and Clauser-Home-Shimony-Holt (CHSH) inequality. In the simulation, we consider the detector effects of CEPC including uncertainties for tracks and jets from Z boson in the production of . Necessary reconstruction approaches are described to measure quantum entanglement between and . Finally, we show the sensitivity of CEPC to Bell inequality violation for the two methods.
期刊介绍:
Chinese Physics C covers the latest developments and achievements in the theory, experiment and applications of:
Particle physics;
Nuclear physics;
Particle and nuclear astrophysics;
Cosmology;
Accelerator physics.
The journal publishes original research papers, letters and reviews. The Letters section covers short reports on the latest important scientific results, published as quickly as possible. Such breakthrough research articles are a high priority for publication.
The Editorial Board is composed of about fifty distinguished physicists, who are responsible for the review of submitted papers and who ensure the scientific quality of the journal.
The journal has been awarded the Chinese Academy of Sciences ‘Excellent Journal’ award multiple times, and is recognized as one of China''s top one hundred key scientific periodicals by the General Administration of News and Publications.