# $\Delta(27)$ family symmetry and neutrino mixing

@article{Varzielas2015Delta27FS, title={\$\Delta(27)\$ family symmetry and neutrino mixing}, author={Ivo de Medeiros Varzielas}, journal={arXiv: High Energy Physics - Phenomenology}, year={2015} }

The observed neutrino mixing, having a near maximal atmospheric neutrino mixing angle and a large solar mixing angle, is close to tri-bi-maximal. This structure may be related to the existence of a discrete non-Abelian family symmetry.
In this paper the family symmetry is the non-Abelian discrete group $\Delta(27)$, a subgroup of $SU(3)$ with triplet and anti-triplet representations. Different frameworks are constructed in which the mixing follows from combining fermion mass terms with the…

## 8 Citations

Towards a complete $\Delta(27) \times SO(10)$ SUSY GUT

- Physics
- 2016

We propose a renormalizable model based on Δ(27) family symmetry with an SO(10) grand unified theory leading to a novel form of spontaneous geometrical CP violation. The symmetries, including Δ(27)…

Δ(54) flavor phenomenology and strings

- Physics
- 2016

A bstractΔ(54) can serve as a flavor symmetry in particle physics, but remains almost unexplored. We show that in a classification of semi-realistic ℤ3 × ℤ3 heterotic string orbifolds, Δ(54) turns…

A predictive 3-3-1 model with A 4 flavor symmetry

- Physics
- 2016

Abstract We propose a predictive model based on the SU ( 3 ) C ⊗ SU ( 3 ) L ⊗ U ( 1 ) X gauge group supplemented by the A 4 ⊗ Z 3 ⊗ Z 4 ⊗ Z 6 ⊗ Z 16 discrete group, which successfully describes the…

Leptogenesis in Δ(27) with a universal texture zero

- PhysicsJournal of High Energy Physics
- 2019

Abstract
We investigate the possibility of viable leptogenesis in an appealing Δ(27) model with a universal texture zero in the (1,1) entry. The model accommodates the mass spectrum, mixing and CP…

Leptogenesis in a Δ(27) × SO(10) SUSY GUT

- Physics
- 2016

A bstractAlthough SO(10) Supersymmetric (SUSY) Grand Unification Theories (GUTs) are very attractive for neutrino mass and mixing, it is often quite difficult to achieve successful leptogenesis from…

Effective alignments and the landscape of
S4
flavor models

- PhysicsPhysical Review D
- 2019

We explore the concept of effective alignments: contractions of multiple flavour symmetry breaking flavon fields. These contractions give rise to directions that are hard or impossible to obtain…

Effective alignments as building blocks of flavor models

- PhysicsPhysical Review D
- 2018

Flavor models typically rely on flavons—scalars that break the family symmetry by acquiring vacuum expectation values in specific directions. We develop the idea of effective alignments, i.e., cases…

Lepton masses and mixings in a $331$ model with $A_4$ flavour symmetry

- Physics
- 2015

We propose a model based on the $SU(3)_{C}\otimes SU(3)_{L}\otimes U(1)_{X}$ gauge group with an extra $A_{4}\otimes Z_{2}\otimes Z_{2}^{\prime }\otimes Z_{14}$ flavor symmetry, which successfully…