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Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model
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Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model
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We propose a three-zero texture for the down-quark mass matrix within a $SU(5)$ GUT-inspired Standard Model, enforced by a non-invertible selection rule originating from $\mathbb{Z}_2$ gauging of $\mathbb{Z}_N$ symmetries. Assuming CP invariance at the high-energy scale, our framework solves the strong CP problem while reproducing a realistic quark mass matrix. The CP symmetry is spontaneously broken down at an intermediate scale via complex vacuum expectation values of new scalar fields $\eta_i$, which generate the CP phase in the CKM matrix without inducing the QCD $\bar{\theta}$ term. The present model incorporates three generations of matter, Higgs, and additional scalars with a common structure under the non-invertible symmetry, which may be naturally embedded into $SO(10)$ GUTs at high energies.
Forward citations
Cited by 8 Pith papers
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A theoretical account of tiny multi-Higgs vacuum expectation values from non-invertible symmetry
Non-invertible symmetry from the minimal Fibonacci fusion rule forbids tree-level VEVs for multi-Higgs fields H4 and H5, generating them radiatively at one-loop with naturally small values of 10^{-3}-10^{-2} GeV that ...
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A General Prescription for Spurion Analysis of Non-Invertible Selection Rules
A general prescription is formulated for spurion analysis of commutative non-invertible fusion algebras in particle physics, unifying prior specific cases and enabling systematic tracking of coupling constants in tree...
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Dirac one-loop seesaw in a non-invertible fusion rule
A one-loop Dirac neutrino mass model stabilized by a non-invertible fusion rule from Z3 x Z3' accommodates oscillation data and provides a viable bosonic dark matter candidate.
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Spurion Analysis for Non-Invertible Selection Rules from Near-Group Fusions
Generalizes spurion analysis to non-invertible near-group fusion algebras, introduces coupling labels, and explains radiative violation of tree-level selection rules.
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Revisiting One-Zero and Two-Zero Neutrino Mass Textures in Light of Recent Oscillation and Cosmological Data
With CMB+BAO mass-sum bounds only A1/A2 two-zero textures survive; viable one-zero textures (via flow matching) predict distinct Σmi, ⟨mee⟩, and δCP patterns, realizable by non-invertible selection rules.
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