Limiting two-Higgs-doublet models

Abstract

We update the constraints on two-Higgs-doublet models (2HDMs) focusing on the parameter space relevant to explain the present muon $g$$-$$2$ anomaly, $\Delta a_{\mu }$, in four different types of models, type I, II, "lepton specific" (or X) and "flipped" (or Y). We show that the strong constraints provided by the electroweak precision data on the mass of the pseudoscalar Higgs, whose contribution may account for $\Delta a_{\mu }$, are evaded in regions where the charged scalar is degenerate with the heavy neutral one and the mixing angles $\alpha$ and $\beta$ satisfy the Standard Model limit $\beta -\alpha \approx \pi /2$. We combine theoretical constraints from vacuum stability and perturbativity with direct and indirect bounds arising from collider and $B$~physics. Possible future constraints from the electron $g$$-$$2$ are also considered. If the 126 GeV resonance discovered at the LHC is interpreted as the light CP-even Higgs boson of the 2HDM, we find that only models of type X can satisfy all the considered theoretical and experimental constraints.

18 pages, 3 figures

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• A light pseudoscalar of 2HDM confronted with muon g-2 and experimental constraints
• Wrong sign and symmetric limits and non-decoupling in 2HDMs
• Next-to-leading order unitarity fits in Two-Higgs-Doublet models with soft ${\mathbb{Z}}_2$ breaking
• Two-loop corrections to the $\rho$ parameter in Two-Higgs-Doublet Models
• Charged Higgs boson in the $W^{\pm }$ Higgs channel at the Large Hadron Collider
• Minimal muon anomalous magnetic moment
• Tree-level vacuum stability of two-Higgs-doublet models and new constraints on the scalar potential
• Exclusive production of heavy charged Higgs boson pairs in the $pp\to pp{H}^{+}{H}^{-}$ reaction at the LHC and a future circular collider
• Gigantic diphoton rate of heavy Higgs bosons in the aligned two Higgs doublet models with small $\tan \beta$
• B-anomalies related to leptons and lepton flavour universality violation
• A variant two-Higgs doublet model with a new Abelian gauge symmetry
• Exploring the extended scalar sector with resonances in vector boson scattering