Paul H. Frampton, Claudio Corianò, Pietro Santorelli
{"title":"Atmospheric Neutrino octant from flavor symmetry","authors":"Paul H. Frampton, Claudio Corianò, Pietro Santorelli","doi":"10.1142/s0217732324500287","DOIUrl":null,"url":null,"abstract":"<p>The binary tetrahedral group (<span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>T</mi></mrow><mrow><mi>′</mi></mrow></msup></math></span><span></span>) has provided the most successful flavor symmetry in understanding simultaneously the three mixing angles both for quarks in the CKM matrix and for neutrinos in the PMNS matrix. One prediction, invariant under leptonic CP violation, relates the atmospheric and reactor neutrino mixings <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>3</mn><mn>2</mn></mrow></msub></math></span><span></span> and <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>1</mn><mn>3</mn></mrow></msub></math></span><span></span>, respectively. We study sedulously this relation using the latest neutrino data. It is natural to focus on the frustrating experimental octant ambiguity of <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>3</mn><mn>2</mn></mrow></msub></math></span><span></span>. We conclude that the flavor symmetry requires that <span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>3</mn><mn>2</mn></mrow></msub></math></span><span></span> is in the second octant <span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>3</mn><mn>2</mn></mrow></msub><mo>></mo><mn>4</mn><msup><mrow><mn>5</mn></mrow><mrow><mo>∘</mo></mrow></msup></math></span><span></span>, not in the first one <span><math altimg=\"eq-00007.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>θ</mi></mrow><mrow><mn>3</mn><mn>2</mn></mrow></msub><mo><</mo><mn>4</mn><msup><mrow><mn>5</mn></mrow><mrow><mo>∘</mo></mrow></msup></math></span><span></span>, and eagerly await experimental confirmation of this prediction.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-04-19","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/s0217732324500287","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}
引用次数: 0
Abstract
The binary tetrahedral group () has provided the most successful flavor symmetry in understanding simultaneously the three mixing angles both for quarks in the CKM matrix and for neutrinos in the PMNS matrix. One prediction, invariant under leptonic CP violation, relates the atmospheric and reactor neutrino mixings and , respectively. We study sedulously this relation using the latest neutrino data. It is natural to focus on the frustrating experimental octant ambiguity of . We conclude that the flavor symmetry requires that is in the second octant , not in the first one , and eagerly await experimental confirmation of this prediction.
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.