Search for a stable alignment limit in two-Higgs-doublet models

Das, Dipankar; Saha, Ipsita

doi:10.1103/physrevd.91.095024

Cited by 72 publications

(78 citation statements)

References 76 publications

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“…Therefore, the question may arise, how would the results we have hitherto presented change, if one considers 8 It is easier to fit the existing data with m h above roughly 62.5 GeV, but that is due to possible H → hh decays potentially enlarging the branching ratio of H beyond what is acceptable to be compatible with the LHC data on the Higgs rates. 9 We differ from previous calculations [29,31,32] due to the higher charged Higgs mass bound, which had used a value of 350 GeV.…”

Section: Two-loop Running One-loop Matchingmentioning

confidence: 66%

“…On the other hand, in Ref. [29] a type II version with an exact Z 2 symmetric model was analyzed, concluding that the potential with m 2 12 ¼ 0 cannot be valid beyond 10 TeV without the intervention of new physics, a conclusion later confirmed in [31]. However, this conclusion is heavily dependent on the value of the charged Higgs mass, m H AE .…”

Section: Introductionmentioning

confidence: 93%

“…As such, the RGE evolutions of the quartic couplings of the 2HDM were studied by several authors [25][26][27][28] to ascertain the validity of the model up to higher energy scales and, prior to the Higgs discovery, to attempt to impose constraints on the unknown scalar masses of the model. After the Higgs boson was discovered the stability of the several versions of the 2HDM was revisited in a number of papers [29][30][31][32][33][34][35][36][37]. In all these works, the lightest CP-even scalar is considered to be the discovered Higgs boson, and there is a common conclusion that, with all relevant theoretical and experimental constraints taken into account, there always exists a region of the parameter space where the 2HDM is valid up to the Planck scale.…”

Section: Introductionmentioning

confidence: 99%

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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: Two-loop Running One-loop Matchingmentioning

confidence: 66%

Section: Introductionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

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

et al. 2018

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“…With the discovery and identification of a SM-like Higgs boson, the question of the validity of extended Higgs sectors up to the Planck scale has become more focused. A number of authors have considered the stability properties of extended Higgs sectors with additional singlet scalar fields [29][30][31][32] and 2HDMs with constrained scalar potentials [33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Preserving the validity of the two-Higgs-doublet model up to the Planck scale

2015

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We examine the constraints on the two Higgs doublet model (2HDM) due to the stability of the scalar potential and absence of Landau poles at energy scales below the Planck scale. We employ the most general 2HDM that incorporates an approximately Standard Model (SM) Higgs boson with a flavor aligned Yukawa sector to eliminate potential tree-level Higgs-mediated flavor changing neutral currents. Using basis independent techniques, we exhibit regimes of the 2HDM parameter space with a 125 GeV SM-like Higgs boson that is stable and perturbative up to the Planck scale. Implications for the heavy scalar spectrum are exhibited.

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“…Since a break-down of stability would mean that our theory would lose validity beyond a certain scale, we want to impose a stable Higgs potential beyond µ ew as a constraint on all couplings. Recently, the impact of stability up to the Planck scale on the parameters in the alignment limit of the 2HDM was discussed in [48]. If one wants to solve the Higgs mass fine-tuning problem, one has to guarantee the cancellation of quadratic divergencies of higher order Higgs mass correction terms.…”

Section: Jhep11(2015)052mentioning

confidence: 99%

Global fits of the two-loop renormalized Two-Higgs-Doublet model with soft Z 2 breaking

Chowdhury

Eberhardt

2015

J. High Energ. Phys.

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Abstract:We determine the next-to-leading order renormalization group equations for the Two-Higgs-Doublet model with a softly broken Z 2 symmetry and CP conservation in the scalar potential. We use them to identify the parameter regions which are stable up to the Planck scale and find that in this case the quartic couplings of the Higgs potential cannot be larger than 1 in magnitude and that the absolute values of the S-matrix eigenvalues cannot exceed 2.5 at the electroweak symmetry breaking scale. Interpreting the 125 GeV resonance as the light CP -even Higgs eigenstate, we combine stability constraints, electroweak precision and flavour observables with the latest ATLAS and CMS data on Higgs signal strengths and heavy Higgs searches in global parameter fits to all four types of Z 2 symmetry. We quantify the maximal deviations from the alignment limit and find that in type II and Y the mass of the heavy CP -even (CP -odd) scalar cannot be smaller than 340 GeV (360 GeV). Also, we pinpoint the physical parameter regions compatible with a stable scalar potential up to the Planck scale. Motivated by the question how natural a Higgs mass of 125 GeV can be in the context of a Two-Higgs-Doublet model, we also address the hierarchy problem and find that the Two-Higgs-Doublet model does not offer a perturbative solution to it beyond 5 TeV.

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Search for a stable alignment limit in two-Higgs-doublet models

Abstract: We study the conditions required to make the 2HDM scalar potential stable up to the Planck scale. The lightest CP-even scalar is assumed to have been found at the LHC and the alignment limit is imposed in view of the LHC Higgs data. We find that ensuring stability up to scales 10 10

Cited by 72 publications

References 76 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

Preserving the validity of the two-Higgs-doublet model up to the Planck scale

Global fits of the two-loop renormalized Two-Higgs-Doublet model with soft Z 2 breaking

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