Moduli trapping mechanism in modular flavor symmetric models

Kaito Nasu; Shota Kikuchi; Tatsuo Kobayashi; Yusuke Yamada

Moduli trapping mechanism in modular flavor symmetric models

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arxiv 2307.13230 v1 pith:H7YG64Z7 submitted 2023-07-25 hep-ph hep-th

Shota Kikuchi , Tatsuo Kobayashi , Kaito Nasu , Yusuke Yamada This is my paper · ORCID

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We discuss how the moduli in modular flavor symmetric models dynamically select enhanced symmetry points at which the residual modular symmetry renders extra matter fields massless. The moduli dynamics non-perturbatively produces the extra matter particles, which gives (time-dependent) effective potential that traps the moduli to enhanced symmetry points. We show analytic estimates of particle production rate consistent with numerical results, and the dynamics of moduli based on the analytic estimates.

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Large and small hierarchies from finite modular symmetries
hep-ph 2024-12 conditional novelty 6.0 of 10

Using finite modular symmetries, radiative stabilization of multiple moduli can simultaneously generate large and small hierarchies, such as Im τ1 ≈ 3 and Im τ2 ≈ 15.

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