{"paper":{"title":"Large and small hierarchies from finite modular symmetries","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Junichiro Kawamura, Kaito Nasu, Riku Sakuma, Tatsuo Kobayashi, Tetsutaro Higaki","submitted_at":"2024-12-24T13:50:56Z","abstract_excerpt":"We study the moduli stabilization by the radiative corrections due to the moduli dependent vector-like masses invariant under the finite modular symmetry. The radiative stabilization mechanism can stabilize the modulus $\\tau$ of the finite modular symmetry $\\Gamma_N$ ($N \\in \\mathbb{N}$) at $\\mathrm{Im}\\,\\tau \\gg 1$, where the shift symmetry $\\tau \\to \\tau+1$ remains unbroken approximately. The shift symmetry can be considered as the residual $\\mathbb{Z}_N$ symmetry which realizes the Froggatt-Nielsen mechanism with the hierarchy parameter $e^{- 2\\pi \\mathrm{Im}\\,\\tau/N} \\ll 1$. In this work, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.18435","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.18435/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}