{"title":"中微子混合现象学:A4离散味道对称与I型跷跷板机制","authors":"Animesh Barman, Ng. K. Francis, Hrishi Bora","doi":"10.1142/s0217732323502000","DOIUrl":null,"url":null,"abstract":"<p>We study a neutrino mass model with <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>A</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span><span></span> discrete flavor symmetry using a type-I seesaw mechanism. The inclusion of extra flavons in our model leads to deviations from the exact tribimaximal mixing pattern resulting in a nonzero <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>1</mn><mn>3</mn></mrow></msub></math></span><span></span> consistent with the recent experimental results and a sum rule for light neutrino masses is also obtained. In this framework, a connection is established among the neutrino mixing angles-reactor mixing angle (<span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>1</mn><mn>3</mn></mrow></msub></math></span><span></span>), solar mixing angle (<span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>1</mn><mn>2</mn></mrow></msub></math></span><span></span>), and atmospheric mixing angle (<span><math altimg=\"eq-00007.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>2</mn><mn>3</mn></mrow></msub></math></span><span></span>). This model also allows us a prediction of Dirac CP-phase and Jarlskog parameter <span><math altimg=\"eq-00008.gif\" display=\"inline\" overflow=\"scroll\"><mo stretchy=\"false\">(</mo><mi>J</mi><mo stretchy=\"false\">)</mo></math></span><span></span>. The octant of the atmospheric mixing angle <span><math altimg=\"eq-00009.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>2</mn><mn>3</mn></mrow></msub></math></span><span></span> occupies the lower octant. Our model prefers Normal Hierarchy (NH) than Inverted Hierarchy (IH). We use the parameter space of our model of neutrino masses to study the neutrinoless double beta decay parameter <span><math altimg=\"eq-00010.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>m</mi></mrow><mrow><mi>β</mi><mi>β</mi></mrow></msub></math></span><span></span>.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":"48 1","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Neutrino mixing phenomenology: A4 discrete flavor symmetry with type-I seesaw mechanism\",\"authors\":\"Animesh Barman, Ng. K. Francis, Hrishi Bora\",\"doi\":\"10.1142/s0217732323502000\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We study a neutrino mass model with <span><math altimg=\\\"eq-00003.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><msub><mrow><mi>A</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span><span></span> discrete flavor symmetry using a type-I seesaw mechanism. The inclusion of extra flavons in our model leads to deviations from the exact tribimaximal mixing pattern resulting in a nonzero <span><math altimg=\\\"eq-00004.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>1</mn><mn>3</mn></mrow></msub></math></span><span></span> consistent with the recent experimental results and a sum rule for light neutrino masses is also obtained. In this framework, a connection is established among the neutrino mixing angles-reactor mixing angle (<span><math altimg=\\\"eq-00005.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>1</mn><mn>3</mn></mrow></msub></math></span><span></span>), solar mixing angle (<span><math altimg=\\\"eq-00006.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>1</mn><mn>2</mn></mrow></msub></math></span><span></span>), and atmospheric mixing angle (<span><math altimg=\\\"eq-00007.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>2</mn><mn>3</mn></mrow></msub></math></span><span></span>). This model also allows us a prediction of Dirac CP-phase and Jarlskog parameter <span><math altimg=\\\"eq-00008.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mo stretchy=\\\"false\\\">(</mo><mi>J</mi><mo stretchy=\\\"false\\\">)</mo></math></span><span></span>. The octant of the atmospheric mixing angle <span><math altimg=\\\"eq-00009.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>2</mn><mn>3</mn></mrow></msub></math></span><span></span> occupies the lower octant. Our model prefers Normal Hierarchy (NH) than Inverted Hierarchy (IH). We use the parameter space of our model of neutrino masses to study the neutrinoless double beta decay parameter <span><math altimg=\\\"eq-00010.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><msub><mrow><mi>m</mi></mrow><mrow><mi>β</mi><mi>β</mi></mrow></msub></math></span><span></span>.</p>\",\"PeriodicalId\":18752,\"journal\":{\"name\":\"Modern Physics Letters A\",\"volume\":\"48 1\",\"pages\":\"\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Modern Physics Letters A\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1142/s0217732323502000\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modern Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s0217732323502000","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
We study a neutrino mass model with discrete flavor symmetry using a type-I seesaw mechanism. The inclusion of extra flavons in our model leads to deviations from the exact tribimaximal mixing pattern resulting in a nonzero consistent with the recent experimental results and a sum rule for light neutrino masses is also obtained. In this framework, a connection is established among the neutrino mixing angles-reactor mixing angle (), solar mixing angle (), and atmospheric mixing angle (). This model also allows us a prediction of Dirac CP-phase and Jarlskog parameter . The octant of the atmospheric mixing angle occupies the lower octant. Our model prefers Normal Hierarchy (NH) than Inverted Hierarchy (IH). We use the parameter space of our model of neutrino masses to study the neutrinoless double beta decay parameter .
期刊介绍:
This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.