从味道对称性看大气中微子八分仪

IF 1.5 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS
Paul H. Frampton, Claudio Corianò, Pietro Santorelli
{"title":"从味道对称性看大气中微子八分仪","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>&gt;</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>&lt;</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":"31 1","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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>&gt;</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>&lt;</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\":\"31 1\",\"pages\":\"\"},\"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}","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

摘要

二元四面体群(T′)提供了最成功的味道对称性,可以同时理解CKM矩阵中的夸克和PMNS矩阵中的中微子的三个混合角。在轻子CP违反下不变的一个预言,分别与大气中微子混合和反应堆中微子混合θ32和θ13有关。我们利用最新的中微子数据对这一关系进行了深入研究。我们很自然地把重点放在θ32令人沮丧的实验八度模糊性上。我们得出结论:味道对称性要求θ32位于第二个八度角θ32>45∘,而不是第一个八度角θ32<45∘,并热切期待这一预言得到实验证实。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Atmospheric Neutrino octant from flavor symmetry

The binary tetrahedral group (T) 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 θ32 and θ13, respectively. We study sedulously this relation using the latest neutrino data. It is natural to focus on the frustrating experimental octant ambiguity of θ32. We conclude that the flavor symmetry requires that θ32 is in the second octant θ32>45, not in the first one θ32<45, and eagerly await experimental confirmation of this prediction.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Modern Physics Letters A
Modern Physics Letters A 物理-物理:核物理
CiteScore
3.10
自引率
7.10%
发文量
186
审稿时长
3 months
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.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信