Minimal Froggatt-Nielsen Textures

Abstract

The flavour problem of the Standard Model can be addressed through the Froggatt-Nielsen (FN) mechanism. In this work, we develop an approach to the study of FN textures building a direct link between FN-charge assignments and the measured masses and mixing angles via unitary transformations in flavour space. We specifically focus on the quark sector to identify the most economic FN models able to provide a dynamical and natural understanding of the flavour puzzle. Remarkably, we find viable FN textures, involving charges under the horizontal symmetry that do not exceed one in absolute value (in units of the flavon charge). Within our approach, we also explore the degree of tuning of FN models in solving the flavour problem via a measure analogous to the Barbieri-Giudice one. We find that most of the solutions do not involve peculiar cancellations in flavour space.

arXiv comment25 pages, 1 figure, 2 tables. Improvements in the text, some references added. Numerical analysis refined, main conclusions unchanged. Matching published version

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Cited by in corpus (13)

• Flavour bounds on the flavon of a minimal and a non-minimal ${\mathcal{Z}}_2\times {\mathcal{Z}}_N$ symmetry
• Dark matter production through a non-thermal flavon portal
• Predictions of $m_{ee}$ and neutrino mass from a consistent Froggatt-Nielsen model
• Gravitational waves from cosmic strings in Froggatt-Nielsen flavour models
• Anomaly-free ALP from non-Abelian flavor symmetry
• Finding flavons at colliders
• A Supersymmetric Flavor Clockwork
• Froggatt-Nielsen Meets the SMEFT
• Constraining Low-Scale Flavor Models with $(\mathbf{g}-2{)}_{\mathbf{\mu }}$ and Lepton Flavor Violation
• Gauge $SU(2{)}_f$ flavour transfers
• Testing the Froggatt-Nielsen Mechanism with Lepton Flavor and Number Violating Processes
• Explaining Fermions Mass and Mixing Hierarchies through $U(1{)}_X$ and $Z_2$ Symmetries
• Flavor hierarchies with nonminimal irreducible representations