Optimizing Yukawa couplings to suppress Dimension-five Proton Decay in $SU(5)$ GUT
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910253278298112 |
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| author | Haba, Naoyuki Ikemoto, Junpei Shimizu, Yasuhiro Yamada, Toshifumi |
| author_facet | Haba, Naoyuki Ikemoto, Junpei Shimizu, Yasuhiro Yamada, Toshifumi |
| contents | The minimal supersymmetric $SU(5)$ grand unified theory (GUT) provides a highly compelling framework for physics beyond the Standard Model (SM). However, it suffers from a severe phenomenological challenge:
rapid proton decay mediated by colored-Higgsino exchange via dimension-five operators. Resolving this issue often requires adjustments to the Yukawa couplings and the potential sectors,
generating a vast and complex parameter space where traditional brute-force numerical scans are rendered computationally intractable due to the curse of dimensionality. In this paper,
we overcome this limitation by applying machine learning optimization techniques. We investigate a supersymmetric $SU(5)$ model extended with $\mathbf{45}$ and $\overline{\mathbf{45}}$ Higgs representations,
defining a loss function based on the partial decay width of $p \to K^+ \barν$. Utilizing the Adam optimizer,
we systematically explore the 33-dimensional parameter space to identify regions that suppress proton decay. Furthermore, we vary $\tan β$ to thoroughly investigate whether the optimized proton lifetime can consistently exceed the stringent experimental lower bound of $5.9 \times 10^{33}$ years established by the Super-Kamiokande collaboration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_09000 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Optimizing Yukawa couplings to suppress Dimension-five Proton Decay in $SU(5)$ GUT Haba, Naoyuki Ikemoto, Junpei Shimizu, Yasuhiro Yamada, Toshifumi High Energy Physics - Phenomenology The minimal supersymmetric $SU(5)$ grand unified theory (GUT) provides a highly compelling framework for physics beyond the Standard Model (SM). However, it suffers from a severe phenomenological challenge: rapid proton decay mediated by colored-Higgsino exchange via dimension-five operators. Resolving this issue often requires adjustments to the Yukawa couplings and the potential sectors, generating a vast and complex parameter space where traditional brute-force numerical scans are rendered computationally intractable due to the curse of dimensionality. In this paper, we overcome this limitation by applying machine learning optimization techniques. We investigate a supersymmetric $SU(5)$ model extended with $\mathbf{45}$ and $\overline{\mathbf{45}}$ Higgs representations, defining a loss function based on the partial decay width of $p \to K^+ \barν$. Utilizing the Adam optimizer, we systematically explore the 33-dimensional parameter space to identify regions that suppress proton decay. Furthermore, we vary $\tan β$ to thoroughly investigate whether the optimized proton lifetime can consistently exceed the stringent experimental lower bound of $5.9 \times 10^{33}$ years established by the Super-Kamiokande collaboration. |
| title | Optimizing Yukawa couplings to suppress Dimension-five Proton Decay in $SU(5)$ GUT |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2605.09000 |