# SO(10) models with A4 modular symmetry

@article{Ding2021SO10MW, title={SO(10) models with A4 modular symmetry}, author={Gui-Jun Ding and Stephen F. King and Jun-Nan Lu}, journal={Journal of High Energy Physics}, year={2021} }

Abstract
We combine SO(10) Grand Unified Theories (GUTs) with A4 modular symmetry and present a comprehensive analysis of the resulting quark and lepton mass matrices for all the simplest cases. We focus on the case where the three fermion families in the 16 dimensional spinor representation form a triplet of Γ3 ≃ A4, with a Higgs sector comprising a single Higgs multiplet H in the 10 fundamental representation and one Higgs field $$ \overline{\Delta } $$
∆
¯
in the $$ \overline{\mathbf… Expand

#### Figures and Tables from this paper

#### References

SHOWING 1-10 OF 90 REFERENCES

A natural S4 × SO(10) model of flavour

- Physics
- 2017

A bstractWe propose a natural S4 × SO(10) supersymmetric grand unified theory of flavour with an auxiliary ℤ42×ℤ4R$$ {\mathbb{Z}}_4^2\times {\mathbb{Z}}_4^R $$ symmetry, based on small Higgs… Expand

Modular A4 symmetry models of neutrinos and charged leptons

- Physics
- Journal of High Energy Physics
- 2019

Abstract
We present a comprehensive analysis of neutrino mass and lepton mixing in theories with A
4 modular symmetry, where the only flavon field is the single modulus field τ, and all masses… Expand

Towards a complete A4 × SU(5) SUSY GUT

- Physics
- 2015

A bstractWe propose a renormalisable model based on A4 family symmetry with an SU(5) grand unified theory (GUT) which leads to the minimal supersymmetric standard model (MSSM) with a ℤ9 × ℤ6 symmetry… Expand

Are neutrino masses modular forms?

- Physics
- From My Vast Repertoire ...
- 2018

We explore a new class of supersymmetric models for lepton masses and mixing angles where the role of flavour symmetry is played by modular invariance. The building blocks are modular forms of level… Expand

Modular Invariant $A_{4}$ Models for Quarks and Leptons with Generalized CP Symmetry

- Physics
- 2020

We perform a systematical analysis of the A4 modular models with generalized CP for the masses and flavor mixing of quarks and leptons, and the most general form of the quark and lepton mass matrices… Expand

Modular $S_3$-invariant flavor model in SU(5) grand unified theory

- Physics
- 2020

We present a flavor model with the $S_3$ modular invariance in the framework of SU(5) GUT. The $S_3$ modular forms of weights $2$ and $4$ give the quark and lepton mass matrices with a common complex… Expand

Fermion masses and mixing from the double cover and metaplectic cover of the
A5
modular group

- Physics
- 2020

We perform a comprehensive study of the homogeneous finite modular group $A'_5$ which is the double covering of $A_5$. The integral weight and level 5 modular forms have been constructed up to weight… Expand

Modular invariant models of lepton masses at levels 4 and 5

- Physics
- 2019

We explore alternative descriptions of the charged lepton sector in modular invariant models of lepton masses and mixing angles. In addition to the modulus, the symmetry breaking sector of our models… Expand

Modular invariant models of leptons at level 7

- Physics
- 2020

We consider for the first time level 7 modular invariant flavour models where the lepton mixing originates from the breaking of modular symmetry and couplings responsible for lepton masses are… Expand

Embedding the Zee-Wolfenstein neutrino mass matrix in an SO(10)xA{sub 4} GUT scenario

- Physics
- 2008

We consider renormalizable SO(10) Yukawa interactions and put the three fermionic 16-plets into the 3-dimensional irreducible A{sub 4} representation. Scanning the possible A{sub 4} representation… Expand