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Conditions for CP-Violation in the General Two-Higgs-Doublet Model
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The most general Higgs potential of the two-Higgs-doublet model (2HDM) contains three squared-mass parameters and seven quartic self-coupling parameters. Among these, one squared-mass parameter and three quartic coupling parameters are potentially complex. The Higgs potential explicitly violates CP symmetry if and only if no choice of basis exists in the two-dimensional Higgs ``flavor'' space in which all the Higgs potential parameters are real. We exhibit four independent potentially complex invariant (basis-independent) combinations of mass and coupling parameters and show that the reality of all four invariants provides the necessary and sufficient conditions for an explicitly CP-conserving 2HDM scalar potential. Additional potentially complex invariants can be constructed that depend on the Higgs field vacuum expectation values (vevs). We demonstrate how these can be used together with the vev-independent invariants to distinguish between explicit and spontaneous CP-violation in the Higgs sector.
Forward citations
Cited by 4 Pith papers
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The Hilbert Series and the Flavor Invariants of the 3HDM
The full multigraded Hilbert series of the 3HDM is computed in closed form, and a basis of SU(3)-invariant operators is constructed up to cubic order in the quartic couplings.
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CP violation in H^\pm \to W^\pm Z: A physical approach for the 2HDM
H±→W±Z develops a one-loop CP-violating charge asymmetry in the 2HDM from internal bosonic and fermionic loop interferences, with the purely bosonic part vanishing in the alignment limit when the extra scalars are heavy.
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Light scalars within the $\mathcal{CP}$-conserving Aligned-two-Higgs-doublet model
All seven light-scalar scenarios of the CP-conserving aligned two-Higgs-doublet model contain sizeable parameter regions compatible with current collider and flavour data, with the lightest new scalars bounded by LEP ...
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Imaginary scaling invariance of the one-loop effective potential
The r0 symmetry is preserved at one-loop in the r0-invariant two-Higgs Doublet Model if the UV cutoff squared transforms non-trivially under r0; the minimal model requires two real fields.
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