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Fully constrained Majorana neutrino mass matrices using Σ(72×3)
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Krishnan, R., Harrison, P. F. and Scott, W. G. (2018) Fully constrained Majorana neutrino mass matrices using Σ(72×3). The European Physical Journal C, 78 . p. 74. doi:10.1140/epjc/s10052-018-5516-7 ISSN 1434-6044.
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Official URL: http://doi.org/10.1140/epjc/s10052-018-5516-7
Abstract
AbstractIn 2002, two neutrino mixing ansatze having trimaximally mixed middle (ν2) columns, namely tri-chi-maximal mixing (TχM) and tri-phi-maximal mixing (TϕM), were proposed. In 2012, it was shown that TχM with χ=±π16 as well as TϕM with ϕ=±π16 leads to the solution, sin2θ13=23sin2π16, consistent with the latest measurements of the reactor mixing angle, θ13. To obtain TχM(χ=±π16) and TϕM(ϕ=±π16), the type I see-saw framework with fully constrained Majorana neutrino mass matrices was utilised. These mass matrices also resulted in the neutrino mass ratios, m1:m2:m3=2+21+2(2+2):1:2+2-1+2(2+2). In this paper we construct a flavour model based on the discrete group Σ(72×3) and obtain the aforementioned results. A Majorana neutrino mass matrix (a symmetric 3×3 matrix with six complex degrees of freedom) is conveniently mapped into a flavon field transforming as the complex six-dimensional representation of Σ(72×3). Specific vacuum alignments of the flavons are used to arrive at the desired mass matrices.
Item Type: | Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||
SWORD Depositor: | Library Publications Router | ||||||
Journal or Publication Title: | The European Physical Journal C | ||||||
Publisher: | Springer | ||||||
ISSN: | 1434-6044 | ||||||
Official Date: | 25 January 2018 | ||||||
Dates: |
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Volume: | 78 | ||||||
Page Range: | p. 74 | ||||||
DOI: | 10.1140/epjc/s10052-018-5516-7 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Open Access (Creative Commons) |
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