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Modular symmetry of soft supersymmetry breaking terms

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arxiv 2203.14667 v1 pith:WXCIHJ5M submitted 2022-03-28 hep-ph hep-th

Shota Kikuchi , Tatsuo Kobayashi , Kaito Nasu , Hajime Otsuka , Shohei Takada , Hikaru Uchida This is my paper · ORCID
classification hep-phhep-th
keywords modulartermsymmetrysoftbreakingmassessupersymmetryterms
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abstract

We study the modular symmetry of soft supersymmetry breaking terms. Soft scalar masses and $A$-term coefficients are invariant under the modular symmetry when we regard $F$-term as a spurion with the modular weight $-2$. Their flavor structure is determined by the same symmetry as Yukawa couplings, i.e., fermion masses. The modular symmetric behavior of $\mu$-term and $B$-term depends on how the $\mu$-term is generated.

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  1. 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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