On The Potential of Minimal Flavour Violation

Abstract

Assuming the Minimal Flavour Violation hypothesis, we derive the general scalar potential for fields whose background values are the Yukawa couplings. We analyze the minimum of the potential and discuss the fine-tuning required to dynamically generate the mass hierarchies and the mixings between different quark generations. Two main cases are considered, corresponding to Yukawa interactions being effective operators of dimension five or six (or, equivalently, resulting from bi-fundamental and fundamental scalar fields, respectively). At the renormalizable and classical level, no mixing is naturally induced from dimension five Yukawa operators. On the contrary, from dimension six Yukawa operators one mixing angle and a strong mass hierarchy among the generations result.

33 pages, 6 figures; Note added in proof on the stability of the minima of the scalar potential; results unchanged; references added

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Cited by in corpus (45)

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• Lepton Flavor Non-Universality in B decays from Dynamical Yukawas
• Minimal Flavour Violation and Beyond
• Phenomenology of a Gauged SU(3)^3 Flavour Model
• The Impact of Flavour Changing Neutral Gauge Bosons on B->X_s gamma
• Dark matter within the minimal flavour violation ansatz
• The Minimal Flavour Violating Axion
• Flavour with a Light Dynamical "Higgs Particle"
• Minimal violation of flavour and custodial symmetries in a vectophobic Two-Higgs-Doublet-Model
• Gravitational Imprints of Flavor Hierarchies
• Naturally large Yukawa hierarchies
• Yukawa hierarchies from spontaneous breaking of the $\bma{SU(3)_L\times SU(3)_R}$ flavour symmetry?
• On the Potential of Leptonic Minimal Flavour Violation
• Gauging the Way to MFV
• Flavour violation in a supersymmetric T' model
• Leptonic Dynamical Yukawa Couplings
• Minimal Flavour Violation with Strong Higgs Dynamics
• Dynamical Minimal Flavour Violating Inverse Seesaw
• Neutrino Masses and Hubble Tension via a Majoron in MFV
• Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation
• Neutrino Mixing and Masses from a Minimum Principle
• Gauged Lepton Flavour
• Quark masses, mixings, and CP violation from spontaneous breaking of flavor $SU(3{)}^3$
• Distinguishing A Higgs-Like Dilaton Scenario With A Complete Bosonic Effective Field Theory Basis
• Dynamical flavor origin of ${\mathbb{Z}}_N$ symmetries
• The Flavor-locked Flavorful Two Higgs Doublet Model
• Baryon Non-Invariant Couplings in Higgs Effective Field Theory
• Predictive Leptogenesis from Minimal Lepton Flavour Violation
• A New bound on CP Violation in the $\tau$ Lepton Yukawa Coupling and electroweak baryogenesis
• Gauged flavour symmetry for the light generations
• Searching for BSM Physics in Yukawa Couplings and Flavour Symmetries
• Data Driven Flavour Model
• Lepton-flavour violation in a Pati-Salam model with gauged flavour symmetry
• The GIM Mechanism: origin, predictions and recent uses
• Standard model flavor from an $SU(2)$ symmetry
• Covert symmetries in the neutrino mass matrix
• Neutrino and Charged Lepton Flavour Today
• Variant Nelson-Barr Mechanism with Minimal Flavor Violation
• Residual Symmetries and Scalar Multiplet Vacuum Alignment in Non-Abelian Flavour Models
• Renormalization Group Evolution of Flavour Invariants
• A Light Dynamical Scalar Boson
• Neutrino Masses and Mixings from Continuous Symmetries
• A Bottom-Up Approach: The Data Driven Flavour Model
• Quark Yukawa pattern from spontaneous breaking of flavour $SU(3{)}^3$