Quark masses, mixings, and CP violation from spontaneous breaking of flavor $SU(3{)}^3$

Abstract

A ${\mathcal{G}}_{\mathcal{F}}=SU(3{)}_Q\times SU(3{)}_u\times SU(3{)}_d$ invariant scalar potential breaking spontaneously the quark flavor symmetry can explain the standard model flavor puzzle. The approximate alignment in flavor space of the vacuum expectation values of the up and down ``Yukawa fields'' is explained as a dynamical effect, and the observed quark mixing angles, the weak CP violating phase, and hierarchical quark masses can be reproduced without introducing hierarchical parameters.

12 pages, 1 figure; Revised to match the published version in Phys.Rev.D. Note added explaining the mistake in our claim made in Phys.Rev.Lett.111:061601,2013 regarding the solution to strong CP problem through spontaneous breaking of the quark-flavor symmetry

References in corpus (9)

• Updated Values of Running Quark and Lepton Masses
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• Minimal flavour violation extensions of the seesaw
• On The Potential of Minimal Flavour Violation
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Cited by in corpus (17)

• Lepton Flavor Non-Universality in B decays from Dynamical Yukawas
• Pieces of the Flavour Puzzle
• Accidental Peccei-Quinn symmetry protected to arbitrary order
• Aligned and Spontaneous Flavor Violation
• Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation
• Dynamical flavor origin of ${\mathbb{Z}}_N$ symmetries
• Minimal $SU(3)\times SU(3)$ symmetry breaking patterns
• High quality Nelson-Barr solution to the strong CP problem with $\theta =\pi$
• Exact accidental U(1) symmetries for the axion
• Constrained Flavor Breaking
• The axion flavour connection
• Combining Pati-Salam and Flavour Symmetries
• Covert symmetries in the neutrino mass matrix
• Variant Nelson-Barr Mechanism with Minimal Flavor Violation
• A model independent method for quantitative estimation of $SU(3)$ flavor symmetry breaking using Dalitz plot
• Renormalization Group Evolution of Flavour Invariants
• Quark Yukawa pattern from spontaneous breaking of flavour $SU(3{)}^3$