A benchmark model using genus-2 modular invariance generates quark mass hierarchies and CP violation via moduli VEVs near invariant points, with mass ratios vanishing in the symmetric limit and mixing angles reproduced.
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Modular spontaneous CP breaking during inflation with the modulus as inflaton produces one-loop cosmological collider signals from SM fermions enhanced by chemical potentials, allowing probes of sub-Planckian modulus decay constants.
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Quark hierarchies and CP violation from the Siegel modular group
A benchmark model using genus-2 modular invariance generates quark mass hierarchies and CP violation via moduli VEVs near invariant points, with mass ratios vanishing in the symmetric limit and mixing angles reproduced.
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Cosmological collider signals of modular spontaneous CP breaking
Modular spontaneous CP breaking during inflation with the modulus as inflaton produces one-loop cosmological collider signals from SM fermions enhanced by chemical potentials, allowing probes of sub-Planckian modulus decay constants.