Flavor hierarchies with nonminimal irreducible representations

Abstract

We propose a new class of flavour models in which the spurion which breaks Standard Model flavour symmetries transforms in a non-minimal representation. Hierarchies in fermion masses, which arise from multiple insertions of this spurion, may be generated in a technically natural, accidental manner, from a handful of untuned $\mathcal{O}(1)$ elements in the UV. This relies explicitly on the non-Abelian nature of the symmetry, distinguishing it from standard Froggatt-Nielsen-like scenarios. The pattern of flavour violating operators at dimension-6 can radically differ from previously considered scenarios, and emphasises the need for a broad flavour programme across all generations.

arXiv comment5 pages + 4 pages appendices and references; v2: Matches journal version

References in corpus (26)

• Minimal Flavour Violation: an effective field theory approach
• Universal Unitarity Triangle and Physics Beyond the Standard Model
• Mass Matrix Models: The Sequel
• Mass Matrix Models
• Predictions From A U(2) Flavour Symmetry In Supersymmetric Theories
• Minimal Flavor Violation in the Lepton Sector
• Horizontal Symmetries for the Supersymmetric Flavor Problem
• U(2) and Minimal Flavour Violation in Supersymmetry
• Flavour physics from an approximate U(2)^3 symmetry
• General Minimal Flavor Violation
• Consequences of a U(2) Flavour Symmetry
• Unified Theories with U(2) Flavor Symmetry
• Minimal Flavour Violation and Beyond
• With or without U(2)? Probing non-standard flavor and helicity structures in semileptonic B decays
• Large Top Mass and Non-Linear Representation of Flavour Symmetry
• Anomaly free Froggatt-Nielsen models of flavor
• Model-independent Bounds on the Standard Model Effective Theory from Flavour Physics
• Phenomenology of Minimal Lepton Flavor Violation
• Aligned and Spontaneous Flavor Violation
• Naturally large Yukawa hierarchies
• Yukawa hierarchies from spontaneous breaking of the $\bma{SU(3)_L\times SU(3)_R}$ flavour symmetry?
• Beyond MFV in family symmetry theories of fermion masses
• Neutrino Mixing and Masses from a Minimum Principle
• Minimal Froggatt-Nielsen Textures
• Axion Protection from Flavor
• A common origin of the Higgs boson and the flavor hierarchies