$U(1)$ flavour symmetries as Peccei-Quinn symmetries

Abstract

We investigate to what extent a generic, generation-dependent $U(1)$ symmetry acting on the quark Yukawa operators can reduce the number of free parameters by forcing some entries in the Yukawa matrices to vanish. The maximal reduction compatible with CP violation yields nine real parameters and one phase, which matches the number of physical observables, implying that such models have no free parameters. We derive a set of results: (i) the only possible structures have the form $M_4\oplus M_5$, where the subscripts indicate the number of real parameters in the Yukawa matrices, (ii) there are only two inequivalent Yukawa structures, each one giving rise to six different models depending on quark flavour assignments, (iii) the $U(1)$ symmetries that generate these textures all have a QCD anomaly, and hence are Peccei-Quinn symmetries, reinforcing the idea of a possible connection between the quark flavour puzzle and the axion solution to the strong CP problem, (iv) in some cases the contributions to the QCD anomaly of two generations cancels out, and this opens the possibility that the axion coupling to nucleons could be strongly suppressed. Flavour-violating axion couplings to quarks are completely fixed, up to the axion decay constant, providing a non-trivial complementarity between low-energy flavour-violating processes and standard axion searches.

arXiv commentv2: version accepted for publication in JHEP; figure 1 updated; minor additions; 23 pages, 1 figure. v1: 20 pages, 1 figure

References in corpus (48)

• New CAST Limit on the Axion-Photon Interaction
• The CP-conserving two-Higgs-doublet model: the approach to the decoupling limit
• Neutrino Mass and Mixing with Discrete Symmetry
• The QCD axion, precisely
• New experimental approaches in the search for axion-like particles
• A Search for Invisible Axion Dark Matter with the Axion Dark Matter Experiment
• Astrophysical Axion Bounds
• Planck-Scale Physics and the Peccei-Quinn Mechanism
• Solutions to the strong CP problem in a world with gravity
• Revisiting the bound on axion-photon coupling from Globular Clusters
• Dielectric Haloscopes: A New Way to Detect Axion Dark Matter
• Updated Values of Running Quark and Lepton Masses
• Yukawa Alignment in the Two-Higgs-Doublet Model
• Stitching the Yukawa Quilt
• Axion dark matter from topological defects
• Updated Estimate of Running Quark Masses
• Axions from Strings: the Attractive Solution
• Unified Models of Neutrinos, Flavour and CP Violation
• Flaxion: a minimal extension to solve puzzles in the standard model
• Redefining the Axion Window
• Running quark and lepton parameters at various scales
• The Axiflavon
• The dark-matter axion mass
• Impacts of the Higgs mass on vacuum stability, running fermion masses and two-body Higgs decays
• Cosmological Axion and neutrino mass constraints from Planck 2015 temperature and polarization data
• Astrophobic Axions
• Flavourful Axion Phenomenology
• A new ansatz for quark and lepton mass matrices
• A Realistic U(2) Model of Flavor
• The Minimal Flavour Violating Axion
• Flavored Peccei-Quinn symmetry
• Abelian symmetries in the two-Higgs-doublet model with fermions
• Goldstone Bosons in Effective Theories with Spontaneously Broken Flavour Symmetry
• Massive neutrinos and invisible axion minimally connected
• On the four-zero texture of quark mass matrices and its stability
• SO(3) family symmetry and axions
• Yukawa sector of Multi Higgs Doublet Models in the presence of Abelian symmetries
• First axion dark matter search with toroidal geometry
• Yukawa Alignment in a Multi Higgs Doublet Model: An effective approach
• Family symmetries and alignment in multi-Higgs doublet models
• A class of invisible axion models with FCNCs at tree level
• Axion Protection from Flavor
• Effective Aligned 2HDM with a DFSZ-like invisible axion
• A Common Source for Scalars: Axiflavon-Higgs Unification
• Constraints on Variant Axion Models
• Texture Zeros and WB Transformations in the Quark Sector of the Standard Model
• Compact model for Quarks and Leptons via flavored-Axions
• SU(3) Family Gauge Symmetry and the Axion

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