A dimension-six operator |H|^2|phi|^4 in a U(1)_D singlet extension relaxes the usual Higgs-portal and mixing-angle correlation, enabling strong first-order electroweak phase transitions driven primarily by the singlet VEV.
Robens,Constraining Extended Scalar Sectors at Current and Future Colliders—An Update,Springer Proc
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Electroweak phase transitions in a $U(1)_D$ extension of the standard model with dimension-six operators: Gravitational waves and LHC signatures
A dimension-six operator |H|^2|phi|^4 in a U(1)_D singlet extension relaxes the usual Higgs-portal and mixing-angle correlation, enabling strong first-order electroweak phase transitions driven primarily by the singlet VEV.