FLASY 2018: 7th Workshop on Flavour Symmetries and Consequences in Accelerators and Cosmology

Fully Constrained Majorana Neutrino Mass Matrices Using Sigma(72x3)

3 Jul 2018, 14:30

30m

Lecture Hall 1, Foyer, Department of Physics (University of Basel)

Afternoon session I

Speaker

Paul Fraser Harrison (University of Warwick (GB))

Description

In many flavour models, the vacuum expectation values of flavon multiplets
form the fermion mass matrices. The VEVs and their symmetries lead to
constraints among the masses and the mixing observables. The presence of
coupling constants (corresponding to various flavon multiplets) leaves
some degrees of freedom of the mass matrices unconstrained. Recently we
introduced a single sextet of Sigma(72x3) as a convenient flavon multiplet
to represent the entire complex symmetric Majorana neutrino mass matrix.
In this scenario, the flavon VEV fully constrains the mass matrix. In
2012, we introduced a set of four Majorana neutrino mass matrices which
give rise to non-zero theta_13 (consistent with the Daya Bay results).
Being fully constrained, these mass matrices also predicted the neutrino
mass ratios. Here we use the framework of the Sigma(72x3)-sextet to
construct a model which reproduces the above set of Majorana mass
matrices.

Presentation materials

flasy.pdf