Eclectic flavor groups

@article{Nilles2020EclecticFG,
  title={Eclectic flavor groups},
  author={H. P. Nilles and S. Ramos-S{\'a}nchez and Patrick K. S. Vaudrevange},
  journal={Journal of High Energy Physics},
  year={2020},
  volume={2020},
  pages={1-25}
}
The simultaneous study of top-down and bottom-up approaches to modular flavor symmetry leads necessarily to the concept of eclectic flavor groups. These are non-trivial products of modular and traditional flavor symmetries that exhibit the phenomenon of local flavor enhancement in moduli space. We develop methods to determine the eclectic flavor groups that can be consistently associated with a given traditional flavor symmetry. Applying these methods to a large family of prominent traditional… 
Lessons from eclectic flavor symmetries
Top-down anatomy of flavor symmetry breakdown
A top-down approach to the flavor puzzle leads to eclectic flavor groups which include modular and traditional flavor symmetries. Based on examples of semirealistic T 2 / Z 3 orbifold compactifications
Anatomy of a top-down approach to discrete and modular flavor symmetry
  • A. Trautner
  • Physics
    Proceedings of 7th Symposium on Prospects in the Physics of Discrete Symmetries, DISCRETE 2020-2021 — PoS(DISCRETE2020-2021)
  • 2022
The framework of compactified heterotic string theory offers consistent ultraviolet (UV) comple-tions of the Standard Model (SM) of particle physics. In this approach, the existence of flavor symmetries
The eclectic flavor symmetry of the ℤ2 orbifold
Abstract Modular symmetries naturally combine with traditional flavor symmetries and $$ \mathcal{CP} $$ CP , giving rise to the so-called eclectic flavor symmetry. We apply this scheme to the
Completing the eclectic flavor scheme of the ℤ2 orbifold
We present a detailed analysis of the eclectic flavor structure of the two-dimensional Z2 orbifold with its two unconstrained moduli T and U as well as SL(2,Z)T × SL(2,Z)U modular symmetry. This
Flavor and CP from String Theory
Modular transformations of string theory are shown to play a crucial role in the discussion of discrete flavor symmetries in the Standard Model. They include CP transformations and provide a
Modular flavor symmetry on a magnetized torus
We study the modular invariance in magnetized torus models. The modular invariant flavor model is a recently proposed hypothesis for solving the flavor puzzle, where the flavor symmetry originates
Fermion mass hierarchies, large lepton mixing and residual modular symmetries
In modular-invariant models of flavour, hierarchical fermion mass matrices may arise solely due to the proximity of the modulus τ to a point of residual symmetry. This mechanism does not require
...
...

References

SHOWING 1-10 OF 120 REFERENCES
A string theory of flavor and CP
A note on the predictions of models with modular flavor symmetries
Modular symmetry and non-Abelian discrete flavor symmetries in string compactification
We study the modular symmetry in magnetized D-brane models on $T^2$. Non-Abelian flavor symmetry $D_4$ in the model with magnetic flux $M=2$ (in a certain unit) is a subgroup of the modular symmetry.
The flavor group Δ(6n2)
Many non-Abelian finite subgroups of SU(3) have been used to explain the flavor structure of the standard model. In order to systematize and classify successful models, a detailed knowledge of their
Non-Abelian Discrete Symmetries in Particle Physics
We review pedagogically non-Abelian discrete groups, which play an important role in the particle physics. We show group-theoretical aspects for many concrete groups, such as representations, their
CP and discrete flavour symmetries
A bstractWe give a consistent definition of generalised CP transformations in the context of discrete flavour symmetries. Non-trivial consistency conditions imply that every generalised CP
...
...