Zero Textures of the Neutrino Mass Matrix from Cyclic Family Symmetry

Understand

We present the symmetry realization of the phenomenologically viable Frampton-Glashow-Marfatia (FGM) two zero texture neutrino mass matrices in the flavor basis within the framework of the type (I+II) seesaw mechanism natural to SO(10) grand unification.

• A small Abelian cyclic symmetry group $Z_3$ is used to realize these textures except for class C for which the symmetry is enlarged to $Z_4$.
• The scalar sector is restricted to the Standard Model (SM) Higgs doublet to suppress the flavor changing neutral currents.
• Other scalar fields used for symmetry realization are at the most two scalar triplets and, in some cases, a complex scalar singlet.