Non-invertible symmetry as an axion-less solution to the strong CP problem

2025/05/08 by Qiuyue Liang, Tsutomu T. Yanagida, Liang, Qiuyue +1 · 13 citations
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2505.05142

openalex publication_date 2025/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use a non-invertible symmetry to construct a three-zero texture for the down-type quark mass matrix, which can resolve the strong CP problem without invoking the axion, in four-dimensional spacetime with three quark families in QCD. We assume CP invariance at the fundamental high-energy scale.

Cited by

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• Generalized CP from non-invertible selection rules
• Conformal Bootstrap with Duality-Inspired Fusion Rule
• Spurion Analysis of ℤ_M/ℤ₂ Non-Invertible Selection Rules: Low-Order versus All-Order Zeros
• Multi-Instantons, Multi-Axions, and Non-Invertible Symmetries in 4d QFT
• Texture-zeros in minimal seesaw from non-invertible symmetry fusion rules
• GUT-motivated non-invertible symmetry as a solution to the strong CP problem and the neutrino CP-violating phase
• Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds
• Spurion Analysis for Non-Invertible Selection Rules from Near-Group Fusions
• Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model
• A radiative lepton model in a non-invertible fusion rule
• No-group Scotogenic Model

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