Finite modular axion and radiative moduli stabilization
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| Format: | Preprint |
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2024
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| _version_ | 1866911884362383360 |
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| author | Higaki, Tetsutaro Kawamura, Junichiro Kobayashi, Tatsuo |
| author_facet | Higaki, Tetsutaro Kawamura, Junichiro Kobayashi, Tatsuo |
| contents | We propose a simple setup which can stabilize a modulus field of the finite modular symmetry by the Coleman-Weinberg potential. Our scenario leads to a large hierarchy suppressing instanton-like corrections $e^{2πiτ}$ and to a light axion identified as $\mathrm{Re} τ$, where $τ$ is the modulus field. This stabilization mechanism provides the axion solution to the strong CP problem. The potential has a minimum at a large $\mathrm{Im}τ$ which suppresses explicit $U(1)_{\mathrm{PQ}}$ violation terms proportional to $e^{-2π{\mathrm{Im}τ}}$, and hence the quality of the axion is ensured by the residual symmetry associated with the $T$-transformation, $τ\to τ+1$, around the fixed point $τ\sim i\infty$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_02071 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite modular axion and radiative moduli stabilization Higaki, Tetsutaro Kawamura, Junichiro Kobayashi, Tatsuo High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory We propose a simple setup which can stabilize a modulus field of the finite modular symmetry by the Coleman-Weinberg potential. Our scenario leads to a large hierarchy suppressing instanton-like corrections $e^{2πiτ}$ and to a light axion identified as $\mathrm{Re} τ$, where $τ$ is the modulus field. This stabilization mechanism provides the axion solution to the strong CP problem. The potential has a minimum at a large $\mathrm{Im}τ$ which suppresses explicit $U(1)_{\mathrm{PQ}}$ violation terms proportional to $e^{-2π{\mathrm{Im}τ}}$, and hence the quality of the axion is ensured by the residual symmetry associated with the $T$-transformation, $τ\to τ+1$, around the fixed point $τ\sim i\infty$. |
| title | Finite modular axion and radiative moduli stabilization |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.02071 |