{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T06:44:00Z","timestamp":1780382640111,"version":"3.54.1"},"reference-count":22,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2020,8,5]],"date-time":"2020-08-05T00:00:00Z","timestamp":1596585600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"VEGA Grant Agency of the Slovak Republic","award":["No. 1\/0607\/20"],"award-info":[{"award-number":["No. 1\/0607\/20"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The extension of the Standard model by three right-handed neutrino fields exhibit appealing symmetry between left-handed and right-handed sectors, which is only violated by interactions. It can accommodate three flavor quasi-Dirac neutrino mixing scheme, which allows processes with violation of both lepton flavor and total lepton number symmetries. We propose a 6\u00d76 unitary matrix for parameterizing the mixing among three flavors of quasi-Dirac neutrino. This mixing matrix is constructed by two 3\u00d73 unitary matrices that diagonalizes the Dirac mass term in the Lagrangian. By only assuming the Standard Model V\u2212A weak interaction, it is found that probabilities of neutrino oscillations among active flavor states and effective masses measured by single beta decay, by neutrinoless double-beta decay and by cosmology only depend on single 3\u00d73 unitary matrix relevant to mixing of active neutrino flavors. Further, by considering 1\u03c3 and 3\u03c3 uncertainties in the measured oscillation probability of electron antineutrino from reactor, derivation of the constraint on the Majorana neutrino mass component is demonstrated. The consequence for effective Majorana neutrino mass governing the neutrinoless double-beta decay is discussed.<\/jats:p>","DOI":"10.3390\/sym12081310","type":"journal-article","created":{"date-parts":[[2020,8,5]],"date-time":"2020-08-05T15:13:18Z","timestamp":1596640398000},"page":"1310","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Three Flavor Quasi-Dirac Neutrino Mixing, Oscillations and Neutrinoless Double Beta Decay"],"prefix":"10.3390","volume":"12","author":[{"given":"Amina","family":"Khatun","sequence":"first","affiliation":[{"name":"Department of Nuclear Physics and Biophysics, Faculty of Mathematics, Physics and Informatics, Comenius University, Mlynsk\u00e1 dolina F1, SK842 48 Bratislava, Slovakia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Adam","family":"Smetana","sequence":"additional","affiliation":[{"name":"Institute of Experimental and Applied Physics, Czech Technical University in Prague, 166 36 Prague, Czech Republic"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2414-0414","authenticated-orcid":false,"given":"Fedor","family":"\u0160imkovic","sequence":"additional","affiliation":[{"name":"Department of Nuclear Physics and Biophysics, Faculty of Mathematics, Physics and Informatics, Comenius University, Mlynsk\u00e1 dolina F1, SK842 48 Bratislava, Slovakia"},{"name":"Institute of Experimental and Applied Physics, Czech Technical University in Prague, 166 36 Prague, Czech Republic"},{"name":"BLTP, JINR, 141980 Dubna, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2020,8,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"030001","DOI":"10.1103\/PhysRevD.98.030001","article-title":"Review of Particle Physics","volume":"98","author":"Tanabashi","year":"2018","journal-title":"Phys. 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