Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912540860088320 |
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| author | Kobayashi, Tatsuo Otsuka, Hajime Yanagida, Tsutomu T. |
| author_facet | Kobayashi, Tatsuo Otsuka, Hajime Yanagida, Tsutomu T. |
| contents | 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 $η_i$, which generate the CP phase in the CKM matrix without inducing the QCD $\barθ$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12287 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model Kobayashi, Tatsuo Otsuka, Hajime Yanagida, Tsutomu T. High Energy Physics - Phenomenology High Energy Physics - Theory 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 $η_i$, which generate the CP phase in the CKM matrix without inducing the QCD $\barθ$ 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. |
| title | Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.12287 |