{"title":"通过 CEPC 测试贝尔不平等* * 李彤受国家自然科学基金（12375096, 12035008, 11975129）和南开大学 \"中央高校基本科研业务费\"（63196013）资助。马凯受陕西省自然科学基础研究项目（2023-JC-YB-041）和陕西省创新能力支撑计划（2021KJXX-47）资助。","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":"Chinese Physics C","volume":null,"pages":null},"PeriodicalIF":3.6000,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":\"Chinese Physics C\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.6000,\"publicationDate\":\"2024-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chinese Physics 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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chinese Physics 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
摘要
希格斯玻色子衰变为两个自旋-1/2粒子为揭示量子纠缠和贝尔非局域性提供了一个理想的系统。未来的对撞机可以提高希格斯玻色子衰变产生的头轻子对自旋相关性的测量精度。我们通过环形电子正负电子对撞机（CEPC）展示了贝尔不等式的可测试性。我们研究了检验贝尔不等式的两种现实方法，即托恩奎斯特方法和克劳瑟-霍姆-希莫尼-霍尔特（CHSH）不等式。在模拟中，我们考虑了 CEPC 的探测器效应，包括 Z 玻色子产生的轨道和喷流的不确定性。 描述了测量和之间量子纠缠的必要重建方法。最后，我们展示了两种方法的 CEPC 对违反贝尔不等式的敏感性。
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)
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.
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