https://doi.org/10.1140/epjc/s10052-018-5516-7
Regular Article - Theoretical Physics
Fully constrained Majorana neutrino mass matrices using 
1
University of Warwick, Coventry, CV4 7AL, UK
2
Rutherford Appleton Laboratory, Chilton, Didcot, OX11 0QX, UK
* e-mail: krisphysics@gmail.com
Received:
30
July
2017
Accepted:
29
December
2017
Published online:
25
January
2018
In 2002, two neutrino mixing ansatze having trimaximally mixed middle (
) columns, namely tri-chi-maximal mixing (
) and tri-phi-maximal mixing (
), were proposed. In 2012, it was shown that with 
as well as with 
leads to the solution, 
, consistent with the latest measurements of the reactor mixing angle, 
. To obtain 
and 
, 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, 
. In this paper we construct a flavour model based on the discrete group 
and obtain the aforementioned results. A Majorana neutrino mass matrix (a symmetric 
matrix with six complex degrees of freedom) is conveniently mapped into a flavon field transforming as the complex six-dimensional representation of . Specific vacuum alignments of the flavons are used to arrive at the desired mass matrices.
© The Author(s), 2018
