$T^{\prime }$ Models with High Quality Flaxions

Abstract

The "gauged'' Peccei-Quinn (PQ) mechanism of Fukuda, Ibe, Suzuki and Yanagida is implemented in the flavorful axion model of Carone and Merchand. This model of flavor is similar to other successful ones based on the double tetrahedral group, but the flavor symmetry includes a global U(1) factor that leads to the presence of a flavorful axion. Here we gauge that U(1) symmetry and introduce a heavy sector that includes (1) the fermions necessary to cancel anomalies and (2) a second scalar flavon field that spontaneously breaks the U(1) symmetry. The full theory has an accidental U(1)$\times$U(1)${}^{\prime }$ global symmetry, anomalous with respect to QCD; U(1)${}_{\text{PQ}}$ emerges as a linear combination. The gauged flavor symmetry restricts the possible PQ symmetry-breaking higher-dimension operators so that sufficient axion quality is preserved. We provide a model of the quark sector, as a proof of principle, and then a model which incorporates the standard model charged leptons as well. In both cases, the charge assignments that lead to acceptable axion quality also lead to a multiplicity of some of the heavy sector states; we check that the Landau pole for hypercharge remains above the cut off of the effective theory. We consider relevant phenomenological constraints on these models including those on the predicted axion couplings.

arXiv commentReferences added

References in corpus (22)

• GRAVITY AND GLOBAL SYMMETRIES
• Flaxion: a minimal extension to solve puzzles in the standard model
• The Axiflavon
• Maximal Neutrino Mixing from a Minimal Flavor Symmetry
• QCD Axion Dark Matter with a Small Decay Constant
• Composite Accidental Axions
• Flavourful Axion Phenomenology
• U(2) Flavor Physics without U(2) Symmetry
• A "Gauged" $U(1)$ Peccei-Quinn Symmetry
• Axion Kinetic Misalignment and Parametric Resonance from Inflation
• A High Quality Composite Axion
• A Realistic U(2) Model of Flavor
• The Minimal Flavour Violating Axion
• Axion Misalignment Driven to the Hilltop
• Axion Misalignment Driven to the Bottom
• A Composite Axion from a Supersymmetric Product Group
• Protecting the Axion with Local Baryon Number
• QCD Axion Dark Matter from a Late Time Phase Transition
• Compact model for Quarks and Leptons via flavored-Axions
• Flavor from the double tetrahedral group without supersymmetry: flavorful axions and neutrinos
• Flavor from the double tetrahedral group without supersymmetry
• Flavor Gauge Bosons at the Tevatron

Cited by in corpus (3)

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• Probing an intrinsically flavorful ALP via tau-lepton flavor physics