{"title":"重新审视两个 A4 模块对称性中的 Trimaximal TM2 混合","authors":"Han Zhang, Ye-Ling Zhou","doi":"10.1142/s0217751x24500271","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we discuss a minimal lepton flavor model with two modular <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>A</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span><span></span> symmetries, one acting on neutrinos and the other acting on charged leptons. Two corresponding moduli fields are restricted at stabilizers. To avoid vanishing or degenerate lepton masses, the stabilizer in the charged lepton sector always preserves a <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>Z</mi></mrow><mrow><mn>3</mn></mrow></msub></math></span><span></span> symmetry, and that in the neutrino preserves a <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span><span></span> symmetry. By scanning all viable stabilizers, a unique Trimaximal TM2 mixing is predicted. However, the prediction of the lightest neutrino mass and the mass parameter in neutrinoless double beta decay, as well as two Majorana phases, are different and classified into three cases.</p>","PeriodicalId":50309,"journal":{"name":"International Journal of Modern Physics a","volume":"50 1","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Revisiting Trimaximal TM2 mixing in two A4 modular symmetries\",\"authors\":\"Han Zhang, Ye-Ling Zhou\",\"doi\":\"10.1142/s0217751x24500271\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we discuss a minimal lepton flavor model with two modular <span><math altimg=\\\"eq-00002.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><msub><mrow><mi>A</mi></mrow><mrow><mn>4</mn></mrow></msub></math></span><span></span> symmetries, one acting on neutrinos and the other acting on charged leptons. Two corresponding moduli fields are restricted at stabilizers. To avoid vanishing or degenerate lepton masses, the stabilizer in the charged lepton sector always preserves a <span><math altimg=\\\"eq-00003.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><msub><mrow><mi>Z</mi></mrow><mrow><mn>3</mn></mrow></msub></math></span><span></span> symmetry, and that in the neutrino preserves a <span><math altimg=\\\"eq-00004.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><msub><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span><span></span> symmetry. By scanning all viable stabilizers, a unique Trimaximal TM2 mixing is predicted. However, the prediction of the lightest neutrino mass and the mass parameter in neutrinoless double beta decay, as well as two Majorana phases, are different and classified into three cases.</p>\",\"PeriodicalId\":50309,\"journal\":{\"name\":\"International Journal of Modern Physics a\",\"volume\":\"50 1\",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2024-04-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Modern Physics a\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1142/s0217751x24500271\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, NUCLEAR\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Modern Physics a","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s0217751x24500271","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
Revisiting Trimaximal TM2 mixing in two A4 modular symmetries
In this paper, we discuss a minimal lepton flavor model with two modular symmetries, one acting on neutrinos and the other acting on charged leptons. Two corresponding moduli fields are restricted at stabilizers. To avoid vanishing or degenerate lepton masses, the stabilizer in the charged lepton sector always preserves a symmetry, and that in the neutrino preserves a symmetry. By scanning all viable stabilizers, a unique Trimaximal TM2 mixing is predicted. However, the prediction of the lightest neutrino mass and the mass parameter in neutrinoless double beta decay, as well as two Majorana phases, are different and classified into three cases.
期刊介绍:
Started in 1986, IJMPA has gained international repute as a high-quality scientific journal. It consists of important review articles and original papers covering the latest research developments in Particles and Fields, and selected topics intersecting with Gravitation and Cosmology. The journal also features articles of long-standing value and importance which can be vital to research into new unexplored areas.