Gang Lü, Chang-Chang Zhang, Yan-Lin Zhao, Li-Ying Zhang
{"title":"微扰 QCD 中三体衰变过程的共振贡献* * 河南省自然科学基金资助项目（232300420115）。","authors":"Gang Lü, Chang-Chang Zhang, Yan-Lin Zhao, Li-Ying Zhang","doi":"10.1088/1674-1137/ad0e03","DOIUrl":null,"url":null,"abstract":"We investigate <italic toggle=\"yes\">CP</italic> violation in the decay process <inline-formula>\n<tex-math><?CDATA $ \\bar B_{s} \\rightarrow \\phi(\\rho,\\omega) P \\rightarrow K^{+}K^{-}P $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_1_013103_M2.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> by considering the interference effects of <inline-formula>\n<tex-math><?CDATA $ \\phi\\rightarrow K^{+}K^{-} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_1_013103_M3.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, <inline-formula>\n<tex-math><?CDATA $ \\rho\\rightarrow K^{+}K^{-} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_1_013103_M4.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, and <inline-formula>\n<tex-math><?CDATA $ \\omega\\rightarrow K^{+}K^{-} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_1_013103_M5.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>within the framework of the perturbative QCD method (<italic toggle=\"yes\">P</italic> refers to <italic toggle=\"yes\">π</italic>, <italic toggle=\"yes\">K</italic>, <italic toggle=\"yes\">η</italic>, and <inline-formula>\n<tex-math><?CDATA $ \\eta' $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_1_013103_M6.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> pseudoscalar mesons). We analyze the mixings of <inline-formula>\n<tex-math><?CDATA $ \\phi-\\rho^{0} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_1_013103_M7.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, <inline-formula>\n<tex-math><?CDATA $ \\phi-\\omega $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_1_013103_M8.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, and <inline-formula>\n<tex-math><?CDATA $ \\omega-\\rho^{0} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_1_013103_M9.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> and provide the amplitudes of the quasi-two-body decay processes. The <italic toggle=\"yes\">CP</italic> violation for the <inline-formula>\n<tex-math><?CDATA $ \\bar B_{s} \\rightarrow K^{+}K^{-} P $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_1_013103_M10.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> decay process is obvious in the ranges of the three vector meson interferences. Meanwhile, the localized <italic toggle=\"yes\">CP</italic> violation can be found to compare with the experimental results from the three-body decay process at the LHC in the near future.","PeriodicalId":10250,"journal":{"name":"中国物理C","volume":"79 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Resonant contribution of the three-body decay process in perturbative QCD* * Supported by the Natural Science Foundation of Henan Province, China (232300420115).\",\"authors\":\"Gang Lü, Chang-Chang Zhang, Yan-Lin Zhao, Li-Ying Zhang\",\"doi\":\"10.1088/1674-1137/ad0e03\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate <italic toggle=\\\"yes\\\">CP</italic> violation in the decay process <inline-formula>\\n<tex-math><?CDATA $ \\\\bar B_{s} \\\\rightarrow \\\\phi(\\\\rho,\\\\omega) P \\\\rightarrow K^{+}K^{-}P $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_1_013103_M2.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> by considering the interference effects of <inline-formula>\\n<tex-math><?CDATA $ \\\\phi\\\\rightarrow K^{+}K^{-} $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_1_013103_M3.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>, <inline-formula>\\n<tex-math><?CDATA $ \\\\rho\\\\rightarrow K^{+}K^{-} $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_1_013103_M4.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>, and <inline-formula>\\n<tex-math><?CDATA $ \\\\omega\\\\rightarrow K^{+}K^{-} $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_1_013103_M5.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>within the framework of the perturbative QCD method (<italic toggle=\\\"yes\\\">P</italic> refers to <italic toggle=\\\"yes\\\">π</italic>, <italic toggle=\\\"yes\\\">K</italic>, <italic toggle=\\\"yes\\\">η</italic>, and <inline-formula>\\n<tex-math><?CDATA $ \\\\eta' $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_1_013103_M6.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> pseudoscalar mesons). We analyze the mixings of <inline-formula>\\n<tex-math><?CDATA $ \\\\phi-\\\\rho^{0} $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_1_013103_M7.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>, <inline-formula>\\n<tex-math><?CDATA $ \\\\phi-\\\\omega $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_1_013103_M8.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>, and <inline-formula>\\n<tex-math><?CDATA $ \\\\omega-\\\\rho^{0} $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_1_013103_M9.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> and provide the amplitudes of the quasi-two-body decay processes. The <italic toggle=\\\"yes\\\">CP</italic> violation for the <inline-formula>\\n<tex-math><?CDATA $ \\\\bar B_{s} \\\\rightarrow K^{+}K^{-} P $?></tex-math>\\n<inline-graphic xlink:href=\\\"cpc_48_1_013103_M10.jpg\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> decay process is obvious in the ranges of the three vector meson interferences. Meanwhile, the localized <italic toggle=\\\"yes\\\">CP</italic> violation can be found to compare with the experimental results from the three-body decay process at the LHC in the near future.\",\"PeriodicalId\":10250,\"journal\":{\"name\":\"中国物理C\",\"volume\":\"79 1\",\"pages\":\"\"},\"PeriodicalIF\":3.6000,\"publicationDate\":\"2024-01-01\",\"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/ad0e03\",\"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":"中国物理C","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1674-1137/ad0e03","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}
Resonant contribution of the three-body decay process in perturbative QCD* * Supported by the Natural Science Foundation of Henan Province, China (232300420115).
We investigate CP violation in the decay process by considering the interference effects of , , and within the framework of the perturbative QCD method (P refers to π, K, η, and pseudoscalar mesons). We analyze the mixings of , , and and provide the amplitudes of the quasi-two-body decay processes. The CP violation for the decay process is obvious in the ranges of the three vector meson interferences. Meanwhile, the localized CP violation can be found to compare with the experimental results from the three-body decay process at the LHC in the near future.
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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