Bounded masses in Two Higgs Doublets Models, Spontaneous CP Violation and $\mathbb{Z}_2$ symmetry
Miguel Nebot
Abstract:In Two Higgs Doublet Models shaped by some unbroken symmetry, placing perturbativity requirements on the quartic couplings can imply that the allowed masses of all the fundamental scalars are bounded from above, i.e. there is no decoupling regime for the new scalars. This important property is analysed in detail for the only two viable scenarios, the case with Z 2 symmetry and the case with CP symmetry. It is also noticeable that one exception arises in each case: when the vacuum is assumed to respect the impo… Show more
“…We can also recover a recent result on the 2HDM [11], because the model is very simple. Consider a 2HDM with a softly broken Z 2 symmetry and complex vevs.…”
Section: A Note On Cp Violationsupporting
confidence: 81%
“…Nevertheless, Gunion and Haber [10] have shown that the decoupling limit is recovered by including in the potential a term of dimension two which breaks softly the Z 2 symmetry. Nondecoupling has also been analyzed by Nebot in the 2HDM with spontaneous CP violation, both with and without soft symmetry breaking terms [11]. One further example with 3HDM and a S 3 symmetry has been discussed by Bhattacharyya and Das [12].…”
We consider models with any number of Higgs doublets and study the conditions for decoupling. We show that, under very general circumstances, all the quadratic coefficients of the scalar potential must be present, except in special cases, which include terms related to directions of vanishing vacuum expectation values. We give a few examples. Moreover, we show that the decoupling of all charged scalars implies the decoupling of all extra neutral scalars and vanishing CP violation in scalar-pseudoscalar mixing.
“…We can also recover a recent result on the 2HDM [11], because the model is very simple. Consider a 2HDM with a softly broken Z 2 symmetry and complex vevs.…”
Section: A Note On Cp Violationsupporting
confidence: 81%
“…Nevertheless, Gunion and Haber [10] have shown that the decoupling limit is recovered by including in the potential a term of dimension two which breaks softly the Z 2 symmetry. Nondecoupling has also been analyzed by Nebot in the 2HDM with spontaneous CP violation, both with and without soft symmetry breaking terms [11]. One further example with 3HDM and a S 3 symmetry has been discussed by Bhattacharyya and Das [12].…”
We consider models with any number of Higgs doublets and study the conditions for decoupling. We show that, under very general circumstances, all the quadratic coefficients of the scalar potential must be present, except in special cases, which include terms related to directions of vanishing vacuum expectation values. We give a few examples. Moreover, we show that the decoupling of all charged scalars implies the decoupling of all extra neutral scalars and vanishing CP violation in scalar-pseudoscalar mixing.
“…as a consequence of tree-level unitarity [49][50][51][52][53][54][55], it follows that the 2HDM with a softly broken Z 2 symmetry and spontaneous CP violation possesses no decoupling limit [56].…”
The complex 2HDM (C2HDM) is the most general CP-violating two-Higgs-doublet model that possesses a softly broken Z 2 symmetry. However, the physical consequences of the model cannot depend on the basis of scalar fields used to define it. Thus, to get a better sense of the significance of the C2HDM parameters, we have analyzed this model by employing a basis-independent formalism. This formalism involves transforming to the Higgs basis (which is defined up to an arbitrary complex phase) and identifying quantities that are invariant with respect to this phase degree of freedom. Using this method, we have obtained the constraints that enforce the softly broken Z 2 symmetry. One can then relate the C2HDM parameters to basis-independent quantities up to a twofold ambiguity. We then show how this remaining ambiguity is resolved. We also examine the possibility of spontaneous CP violation when the scalar potential of the C2HDM is explicitly CP conserving. Basis-independent constraints are presented that govern the presence of spontaneous CP violation. *
“…[7], and in the context of SCPV in the 2HDM in Ref. [6,8]. Nondecoupling effects also occur in models in which the Higgs is a pseudo-Goldstone dilaton [9,10].…”
Decades of precision measurements have firmly established the Kobayashi-Maskawa phase as the dominant source of the charge-parity (CP) violation observed in weak quark decays. However, it is still unclear whether CP violation is explicitly encoded in complex Yukawa matrices or instead stems from spontaneous symmetry breaking with underlying CP-conserving Yukawa and Higgs sectors.Here we study the latter possibility for the case of a generic two-Higgs-doublet model (2HDM). We find that theoretical constraints limit the ratio t β of the vacuum expectation values (vevs) to the range 0.22 ≤ t β ≤ 4.5 and imply the upper bounds M H ± ≤ 435 GeV, M H 0 2 ≤ 485 GeV and M H 0 3 ≤ 545 GeV for the charged and extra neutral Higgs masses. We derive lower bounds on charged-Higgs couplings to bottom quarks which provide a strong motivation to study the nonstandard production and decay signatures pp → qbH ± (→ q b) with all flavors q, q = u, c, t in the search for the charged Higgs boson. We further present a few benchmark scenarios with interesting discovery potential in collider analyses.
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