CP Symmetry and Symplectic Modular Invariance

Ferruccio Feruglio; Gui-Jun Ding; Xiang-Gan Liu

CP Symmetry and Symplectic Modular Invariance

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arxiv 2102.06716 v1 pith:66KHWPYA submitted 2021-02-12 hep-ph hep-th

Gui-Jun Ding , Ferruccio Feruglio , Xiang-Gan Liu This is my paper · ORCID

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keywords symplecticinvariantmodularmodulisymmetrywellallowedanalyze

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abstract

We analyze CP symmetry in symplectic modular-invariant supersymmetric theories. We show that for genus $g\ge 3$ the definition of CP is unique, while two independent possibilities are allowed when $g\le 2$. We discuss the transformation properties of moduli, matter multiplets and modular forms in the Siegel upper half plane, as well as in invariant subspaces. We identify CP-conserving surfaces in the fundamental domain of moduli space. We make use of all these elements to build a CP and symplectic invariant model of lepton masses and mixing angles, where known data are well reproduced and observable phases are predicted in terms of a minimum number of parameters.

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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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