2014/02/04 by R. Krishnan, Krishnan, R. · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.1402.0857
28 pages, 1 figure
arxiv created 2014/02/04 · arxiv updated 2014/02/05
In 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. It was recently shown that TχM with χ=± \fracπ16 as well as TϕM with ϕ= ± \fracπ16 leads to the solution, sin2 θ13 = (2)/(3) sin2 \fracπ16, consistent with the latest measurements of the reactor mixing angle, θ13. To obtain TχM_(χ=± \fracπ16) and TϕM_(ϕ=± \fracπ16), we utilised the type I see-saw framework with fully constrained Majorana neutrino mass matrices. These mass matrices also resulted in a relation among the neutrino masses, m1:m2:m3=((2+√(2)))/(1+√(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 6 complex degrees of freedom) is conveniently mapped into a flavon field transforming as the complex 6 dimensional representation of Σ(72×3). Specific vacuum alignments of the flavons are used to arrive at the desired mass matrices.