GUT-motivated non-invertible symmetry as a solution to the strong CP problem and the neutrino CP-violating phase
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909820956704768 |
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| author | Kobayashi, Tatsuo Otsuka, Hajime Tanimoto, Morimitsu Yanagida, Tsutomu T. |
| author_facet | Kobayashi, Tatsuo Otsuka, Hajime Tanimoto, Morimitsu Yanagida, Tsutomu T. |
| contents | The unsuppressed CP violation in QCD is a problem in the standard model. If we have some mechanism to guarantee real determinants of the quark mass matrices, the vanishing physical vacuum angle $\bar θ$ indicates the CP invariance at the fundamental level. Thus, the small ${\bar θ}$ is technically natural, since we have an enhanced CP symmetry in the limit of the vanishing $\bar θ=0$. In fact, it was proved that the vacuum angle is never renormalized up to the four-loop level once it is fixed at 0 value at some high energy scale. The purpose of this paper is to construct a model which guarantees the real determinants of the quark mass matrices assuming a non-invertible symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_01680 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | GUT-motivated non-invertible symmetry as a solution to the strong CP problem and the neutrino CP-violating phase Kobayashi, Tatsuo Otsuka, Hajime Tanimoto, Morimitsu Yanagida, Tsutomu T. High Energy Physics - Phenomenology High Energy Physics - Theory The unsuppressed CP violation in QCD is a problem in the standard model. If we have some mechanism to guarantee real determinants of the quark mass matrices, the vanishing physical vacuum angle $\bar θ$ indicates the CP invariance at the fundamental level. Thus, the small ${\bar θ}$ is technically natural, since we have an enhanced CP symmetry in the limit of the vanishing $\bar θ=0$. In fact, it was proved that the vacuum angle is never renormalized up to the four-loop level once it is fixed at 0 value at some high energy scale. The purpose of this paper is to construct a model which guarantees the real determinants of the quark mass matrices assuming a non-invertible symmetry. |
| title | GUT-motivated non-invertible symmetry as a solution to the strong CP problem and the neutrino CP-violating phase |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.01680 |