Erratum to: “Stability of the tree-level vacuum in two Higgs doublet models against charge or CP spontaneous violation” [Phys. Lett. B 603 (2004) 219]

Ferreira, P. M.; Santos, Rui; Barroso, A.

doi:10.1016/j.physletb.2005.09.074

Cited by 90 publications

(167 citation statements)

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“…Also the parameter space we will consider is such that no spontaneous CP breaking occurs. This is in fact assured by simply requiring that a CP-preserving minimum exists [40]. When the symmetry is extended to the fermions in such a way that a fermion of a given charge couples only to one doublet [41,42] the Higgs interaction terms become proportional to the quark mass terms and therefore Higgs FCNC are absent at tree level.…”

Section: The Two-higgs-doublet Modelmentioning

confidence: 99%

High scale impact in alignment and decoupling in two-Higgs-doublet models

et al. 2018

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The two-Higgs-doublet model (2HDM) provides an excellent benchmark to study physics beyond the Standard Model (SM). In this work, we discuss how the behavior of the model at high-energy scales causes it to have a scalar with properties very similar to those of the SM-which means the 2HDM can be seen to naturally favor a decoupling or alignment limit. For a type II 2HDM, we show that requiring the model to be theoretically valid up to a scale of 1 TeV, by studying the renormalization group equations (RGE) of the parameters of the model, causes a significant reduction in the allowed magnitude of the quartic couplings. This, combined with B-physics bounds, forces the model to be naturally decoupled. As a consequence, any nondecoupling limits in type II, like the wrong-sign scenario, are excluded. On the contrary, even with the very constraining limits for the Higgs couplings from the LHC, the type I model can deviate substantially from alignment. An RGE analysis similar to that made for type II shows, however, that requiring a single scalar to be heavier than about 500 GeV would be sufficient for the model to be decoupled. Finally, we show that the 2HDM is stable up to the Planck scale independently of which of the CP-even scalars is the discovered 125 GeV Higgs boson.

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Section: The Two-higgs-doublet Modelmentioning

confidence: 99%

High scale impact in alignment and decoupling in two-Higgs-doublet models

et al. 2018

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“…The scalar fields will develop non-zero vacuum expectation values if the mass matrix m 2 ij has at least one negative eigenvalue. We assume that the parameters of the scalar potential are chosen such that the minimum of the scalar potential respects the U(1) EM gauge symmetry [29]. Then, the scalar field vacuum expectations values are of the form 24…”

Section: Appendix A: Basis Choices For the Two-higgs Doublet Modelmentioning

confidence: 99%

“…(B14) and (B15). 29 If we restrict our considerations to a CP-conserving theory, where all scalar coupling parameters may be taken real and basis changes are restricted to those related by O (2) transformations, then the distinction between barred and unbarred indices becomes irrelevant. In this case, one more independent invariant arises that is linear in the couplings: 5 , with respect to any real basis choice.…”

Section: Appendix A: Basis Choices For the Two-higgs Doublet Modelmentioning

confidence: 99%

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Erratum: Basis-independent methods for the two-Higgs-doublet model [Phys. Rev. D72, 035004 (2005)]

Davidson¹,

Haber²

2005

Phys. Rev. D

316

467

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In the most general two-Higgs-doublet model (2HDM), unitary transformations between the two Higgs fields do not change the functional form of the Lagrangian. All physical observables of the model must therefore be independent of such transformations (i.e., independent of the Lagrangian basis choice for the Higgs fields). We exhibit a set of basis-independent quantities that determine all tree-level Higgs couplings and masses. Some examples of the basis-independent treatment of 2HDM discrete symmetries are presented. We also note that the ratio of the neutral Higgs field vacuum expectation values, tan β, is not a meaningful parameter in general, as it is basis-dependent.Implications for the more specialized 2HDMs (e.g., the Higgs sector of the MSSM and the so-called Type-I and Type-II 2HDMs) are explored.

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“…• charge-breaking and neutral minima never coexist (although this fact was known since [18], its proof becomes straightforward in the Minkowskian formalism, [15]);…”

Section: Introductionmentioning

confidence: 99%

Properties of the general NHDM. II. Higgs potential and its symmetries

Иванов

2010

J. High Energ. Phys.

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We continue our analysis of the general N -Higgs-doublet model and focus of the Higgs potential description in the space of gauge orbits. We develop a geometric technique that allows us to study the global minimum of the potential without explicitly finding its position. We discuss symmetry patterns of the NHDM potential, and illustrate the general discussion with various specific variants of the three-Higgs-doublet model.

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Erratum to: “Stability of the tree-level vacuum in two Higgs doublet models against charge or CP spontaneous violation” [Phys. Lett. B 603 (2004) 219]

Cited by 90 publications

References 0 publications

High scale impact in alignment and decoupling in two-Higgs-doublet models

High scale impact in alignment and decoupling in two-Higgs-doublet models

Erratum: Basis-independent methods for the two-Higgs-doublet model [Phys. Rev. D72, 035004 (2005)]

Properties of the general NHDM. II. Higgs potential and its symmetries

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