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… 

Subcritical regime of hybrid inflation with modular $A_4$ symmetry

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

: 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

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

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

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

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

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

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

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

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

References

SHOWING 1-10 OF 48 REFERENCES

Adjoint SU(5) GUT model with modular S4 symmetry

We study the textures of SM fermion mass matrices and their mixings in a supersymmetric adjoint SU(5) Grand Unified Theory with modular $S_4$ being the horizontal symmetry. The Yukawa entries of both

Spontaneous CP violation by modulus τ in A4 model of lepton flavors

We discuss the modular $A_4$ invariant model of leptons combining with the generalized CP symmetry. In our model, both CP and modular symmetries are broken spontaneously by the vacuum expectation

SUSY breaking constraints on modular flavor S3 invariant SU(5) GUT model

Modular flavor symmetry can be used to explain the quark and lepton flavor structures. The SUSY partners of quarks and leptons, which share the same superpotential with the quarks and leptons, will

Double covering of the modular A5 group and lepton flavor mixing in the minimal seesaw model

In this paper, we investigate the double covering of modular $\Gamma^{}_5 \simeq A^{}_5$ group and derive all the modular forms of weight one for the first time. The modular forms of higher weights

Automorphic forms and fermion masses

We extend the framework of modular invariant supersymmetric theories to encompass invariance under more general discrete groups Γ, that allow the presence of several moduli and make connection with

The fate of hints: updated global analysis of three-flavor neutrino oscillations

Abstract Our herein described combined analysis of the latest neutrino oscillation data presented at the Neutrino2020 conference shows that previous hints for the neutrino mass ordering have

Half-integral weight modular forms and application to neutrino mass models

We generalize the modular invariance approach to include the half-integral weight modular forms. Accordingly the modular group should be extended to its metaplectic covering group for consistency. We

Modular invariant quark and lepton models in double covering of S4 modular group

We perform a comprehensive analysis of the homogeneous finite modular group $\Gamma'_4\equiv S'_4$ which is the double covering of $S_4$ group. The weight 1 modular forms of level 4 are constructed