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arxiv: 2203.14667 · v1 · pith:WXCIHJ5Mnew · submitted 2022-03-28 · ✦ hep-ph · hep-th

Modular symmetry of soft supersymmetry breaking terms

Shota Kikuchi , Tatsuo Kobayashi , Kaito Nasu , Hajime Otsuka , Shohei Takada , Hikaru Uchida This is my paper
classification ✦ hep-ph hep-th
keywords modulartermsymmetrysoftbreakingmassessupersymmetryterms
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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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    One-parameter modular models predict exact high-scale mass relations m_s^5 = 2√2 m_d^3 m_b^2, m_μ^3 = √2 m_e m_τ^2 and m_s^2 m_τ = √2 m_e m_b^2 that become compatible with observed fermion masses after RG evolution an...