{"title":"有限温度下的 CP 违约","authors":"Károly Seller, Zsolt Szép, Zoltán Trócsányi","doi":"arxiv-2409.07180","DOIUrl":null,"url":null,"abstract":"We present a comprehensive study of the finite temperature CP-asymmetry\nfactor needed in the semi-classical treatment of leptogenesis originating from\nMajorana fermion decays into a lepton and a scalar particle. The imaginary part\nof the relevant one-loop integrals are evaluated using both the real time and\nthe imaginary time formalisms of thermal quantum field theory. In the former we\nconsider the retarded-advanced approach as well as the original thermal cutting\nmethod developed by Kobes and Semenoff. Specific care is directed towards\nshowing the consistency between the various approaches. We show that the final\nphysical result of the calculation is linear in the statistical factors and is\nconsistent with what is obtained in the Kadanoff-Baym approach. We also present\nanalytic expressions for the full CP-asymmetry factor in the form of\nwell-behaved triple-integrals, and provide numerical benchmark predictions in a\nspecific particle physics model.","PeriodicalId":501067,"journal":{"name":"arXiv - PHYS - High Energy Physics - Phenomenology","volume":"80 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"CP violation at finite temperature\",\"authors\":\"Károly Seller, Zsolt Szép, Zoltán Trócsányi\",\"doi\":\"arxiv-2409.07180\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a comprehensive study of the finite temperature CP-asymmetry\\nfactor needed in the semi-classical treatment of leptogenesis originating from\\nMajorana fermion decays into a lepton and a scalar particle. The imaginary part\\nof the relevant one-loop integrals are evaluated using both the real time and\\nthe imaginary time formalisms of thermal quantum field theory. In the former we\\nconsider the retarded-advanced approach as well as the original thermal cutting\\nmethod developed by Kobes and Semenoff. Specific care is directed towards\\nshowing the consistency between the various approaches. We show that the final\\nphysical result of the calculation is linear in the statistical factors and is\\nconsistent with what is obtained in the Kadanoff-Baym approach. We also present\\nanalytic expressions for the full CP-asymmetry factor in the form of\\nwell-behaved triple-integrals, and provide numerical benchmark predictions in a\\nspecific particle physics model.\",\"PeriodicalId\":501067,\"journal\":{\"name\":\"arXiv - PHYS - High Energy Physics - Phenomenology\",\"volume\":\"80 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - High Energy Physics - Phenomenology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.07180\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - High Energy Physics - Phenomenology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07180","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We present a comprehensive study of the finite temperature CP-asymmetry
factor needed in the semi-classical treatment of leptogenesis originating from
Majorana fermion decays into a lepton and a scalar particle. The imaginary part
of the relevant one-loop integrals are evaluated using both the real time and
the imaginary time formalisms of thermal quantum field theory. In the former we
consider the retarded-advanced approach as well as the original thermal cutting
method developed by Kobes and Semenoff. Specific care is directed towards
showing the consistency between the various approaches. We show that the final
physical result of the calculation is linear in the statistical factors and is
consistent with what is obtained in the Kadanoff-Baym approach. We also present
analytic expressions for the full CP-asymmetry factor in the form of
well-behaved triple-integrals, and provide numerical benchmark predictions in a
specific particle physics model.