Gaussian Froggatt-Nielsen mechanism on magnetized orbifolds

Abstract

We study the structure of Yukawa matrices derived from the supersymmetric Yang-Mills theory on magnetized orbifolds, which can realize the observed quark and charged lepton mass ratios as well as the CKM mixing angles, even with a small number of tunable parameters and without any critical fine-tuning. As a reason behind this, we find that the obtained Yukawa matrices possess a Froggatt-Nielsen like structure with Gaussian hierarchies, which provides a suitable texture for them favored by the experimental data.

21 pages, 5 figures

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Cited by in corpus (22)

• Landscape of Modular Symmetric Flavor Models
• Classification of three-generation models on magnetized orbifolds
• Zero-modes on orbifolds : magnetized orbifold models by modular transformation
• Operator analysis of physical states on magnetized $T^2/Z_N$ orbifolds
• Loop Fayet-Iliopoulos terms in $T^2/Z_2$ models: instability and moduli stabilization
• Classification of three generation models by orbifolding magnetized $T^2\times T^2$
• Quark and lepton flavor structure in magnetized orbifold models at residual modular symmetric points
• Zero-mode counting formula and zeros in orbifold compactifications
• Moduli trapping mechanism in modular flavor symmetric models
• Index theorem on magnetized blow-up manifold of $T^2/{\mathbb{Z}}_N$
• Classifications of magnetized $T^4$ and $T^4/Z_2$ orbifold models
• Index theorem on $T^2/{\mathbb{Z}}_N$ orbifolds
• Common origin of the strong CP and CKM phases in string compactifications
• Index and winding numbers on $T^2/{\mathbb{Z}}_N$ orbifolds with magnetic flux
• Number of zero-modes on magnetized $T^4/Z_N$ orbifolds analyzed by modular transformation
• Modular symmetry and zeros in magnetic compactifications
• Modular symmetry anomaly and non-perturbative neutrino mass terms in magnetized orbifold models
• Supersymmetric models on magnetized orbifolds with flux-induced Fayet-Iliopoulos terms
• Zero-modes in magnetized $T^6/{\mathbb{Z}}_N$ orbifold models through $Sp(6,\mathbb{Z})$ modular symmetry
• Mass spectrum in a six-dimensional $SU(n)$ gauge theory on a magnetized torus
• 4D effective action from non-Abelian DBI action with magnetic flux background
• Yukawa textures in modular symmetric vacuum of magnetized orbifold models