Can electroweak baryogenesis survive the electron EDM bound?

In plain words

The asymmetry could have formed when the Higgs field switched on, but that needs new CP-violating forces near the weak scale. Such forces would also give the electron a tiny electric dipole, which has not been seen.

Precise statement

Determine whether any model with a strongly first-order electroweak transition and CP violation sufficient for $\eta_B \sim 6 \times 10^{-10}$ is consistent with $\mid d_{e} \mid <$ $4.1 \times 10^{-30}$ e cm (JILA, 2023) and LHC Higgs data. An answer is an explicit viable model with predicted signals, or a general exclusion argument.

What would settle it

Next-generation electron EDM measurements (sensitivity $\sim 10^{-31}\,e\,\mathrm{cm}$) combined with Higgs self-coupling and singlet-mixing measurements.

Status in the literature

Most minimal two-Higgs-doublet realizations are excluded by EDMs; models with CP violation in a dark or flavored sector remain.

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