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Finite modular axion and radiative moduli stabilization
- Source :
- JHEP 04 (2024) 147
- Publication Year :
- 2024
-
Abstract
- 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 $e^{2\pi i\tau}$ and to a light axion identified as $\mathrm{Re} \tau$, where $\tau$ is the modulus field. This stabilization mechanism provides the axion solution to the strong CP problem. The potential has a minimum at a large $\mathrm{Im}\tau$ which suppresses explicit $U(1)_{\mathrm{PQ}}$ violation terms proportional to $e^{-2\pi {\mathrm{Im}\tau}}$, and hence the quality of the axion is ensured by the residual symmetry associated with the $T$-transformation, $\tau \to \tau +1$, around the fixed point $\tau \sim i\infty$.<br />Comment: 10 pages, 2 figures; ver2 matched to published version
Details
- Database :
- arXiv
- Journal :
- JHEP 04 (2024) 147
- Publication Type :
- Report
- Accession number :
- edsarx.2402.02071
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP04(2024)147