# SU(5) GUTs with A4 modular symmetry

@article{Chen2021SU5GW, title={SU(5) GUTs with A4 modular symmetry}, author={Peng Chen and Gui-Jun Ding and Stephen F. King}, journal={Journal of High Energy Physics}, year={2021} }

Abstract
We combine SU(5) 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. Classifying the models according to the representation assignments of the matter fields under A4, we find that there are seven types of SU(5) models with A4 modular symmetry. We present 53 benchmark models with the fewest free parameters. The parameter space of each model is scanned to optimize the…

## 15 Citations

### Subcritical regime of hybrid inflation with modular $A_4$ symmetry

- Physics
- 2022

We consider a supergravity model that has the modular A4 symmetry and discuss the interplay between the neutrino mixing and inflation. The model contains right-handed neutrinos that have the Majorana…

### Generalized Matter Parities from Finite Modular Symmetries

- Physics
- 2022

: We classify a supersymmetric extension of the Standard Model by discrete symmetries originating from ﬁnite modular symmetries Γ N . Since all the couplings in supersymmetric theories of ﬁnite…

### The first string-derived eclectic flavor model with realistic phenomenology

- Physics
- 2022

Eclectic ﬂavor groups arising from string compactiﬁcations combine the power of modular and traditional ﬂavor symmetries to address the ﬂavor puzzle. This top-down scheme determines the…

### Leptogenesis in $SO(10)$ Models with $A_4$ Modular Symmetry

- Physics
- 2022

We study the prediction for leptogenesis in two renormalizable supersymmetric SO (10) × A 4 modular models in which the neutrino mass is dominantly generated by the type I seesaw mechanism. The…

### Modular flavour symmetries and modulus stabilisation

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We study the problem of modulus stabilisation in the framework of the modular symmetry approach to the flavour problem. By analysing simple UV-motivated CP-invariant potentials for the…

### Modular flavor symmetry and vector-valued modular forms

- MathematicsJournal of High Energy Physics
- 2022

Abstract
We revisit the modular flavor symmetry from a more general perspective. The scalar modular forms of principal congruence subgroups are extended to the vector-valued modular forms, then we…

### SO(10) models with A4 modular symmetry

- PhysicsJournal of High Energy Physics
- 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…

### Modular symmetry at level 6 and a new route towards finite modular groups

- MathematicsJournal of High Energy Physics
- 2021

Abstract
We propose to construct the finite modular groups from the quotient of two principal congruence subgroups as Γ(N′)/Γ(N″), and the modular group SL(2, ℤ) is ex- tended to a principal…

### Quark and lepton flavor model with leptoquarks in a modular $$A_4$$ symmetry

- PhysicsThe European Physical Journal C
- 2021

We propose a quark-lepton model via leptoquarks and modular $$A_4$$
A
4
symmetry. Since the neutrino mass is induced at one-loop level mediated by down quarks as well as leptoquarks, we have…

### Flavor mixing and CP violation from the interplay of an S4 modular group and a generalized CP symmetry

- PhysicsPhysical Review D
- 2021

We have performed a systematical analysis of lepton and quark masses models based on Γ4 ∼= S4 modular symmetry with gCP symmetry. We have considered both cases that neutrinos are Majorana particles…

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