# Eclectic flavor scheme from ten-dimensional string theory – I. Basic results

@article{Nilles2020EclecticFS, title={Eclectic flavor scheme from ten-dimensional string theory – I. Basic results}, author={H. P. Nilles and S. Ramos-S{\'a}nchez and Patrick K. S. Vaudrevange}, journal={Physics Letters B}, year={2020}, volume={808}, pages={135615} }

## 33 Citations

### Eclectic flavor scheme from ten-dimensional string theory - II detailed technical analysis

- Physics
- 2020

### 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…

### Neutrino Flavor Model Building and the Origins of Flavor and CP Violation: A Snowmass White Paper

- Physics
- 2022

The neutrino sector oﬀers one of the most sensitive probes of new physics beyond the Standard Model of Particle Physics (SM). The mechanism of neutrino mass generation is still unknown. The observed…

### Anatomy of a top-down approach to discrete and modular flavor symmetry

- PhysicsProceedings 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…

### 4D modular flavor symmetric models inspired by a higher-dimensional theory

- MathematicsPhysical Review D
- 2022

We study a scenario to derive four-dimensional modular ﬂavor symmetric models from higher dimensional theory by assuming the compactiﬁcation consistent with the modular symmetry. In our scenario,…

### 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…

### Top-down anatomy of flavor symmetry breakdown

- PhysicsPhysical Review D
- 2022

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…

### 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…

## References

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### Eclectic flavor scheme from ten-dimensional string theory - II detailed technical analysis

- Physics
- 2020

### Revisiting modular symmetry in magnetized torus and orbifold compactifications

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- 2020

We study the modular symmetry in $T^2$ and orbifold comfactifications with magnetic fluxes. There are $|M|$ zero-modes on $T^2$ with the magnetic flux $M$. Their wavefunctions as well as massive…

### Modular flavor symmetry on a magnetized torus

- Mathematics
- 2020

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…

### Eclectic flavor groups

- MathematicsJournal of High Energy Physics
- 2020

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…

### Neutrino Flavour Symmetries

- Physics
- 2019

We provide a general classification of flavour symmetries according to their interplay with the proper Poincare' and gauge groups and to their linear or nonlinear action in field space. We focus on…

### Modular S4 and A4 symmetries and their fixed points: new predictive examples of lepton mixing

- PhysicsJournal of High Energy Physics
- 2019

Abstract
In the modular symmetry approach to neutrino models, the flavour symmetry emerges as a finite subgroup Γ
N
of the modular symmetry, broken by the vacuum expec- tation value (VEV) of a…

### A note on the predictions of models with modular flavor symmetries

- MathematicsPhysics Letters B
- 2020

### Neutrino masses and mixing from double covering of finite modular groups

- MathematicsJournal of High Energy Physics
- 2019

Abstract
We extend the even weight modular forms of modular invariant approach to general integral weight modular forms. We find that the modular forms of integral weights and level N can be…