Two-Higgs doublet models confront the naturalness problem

Abstract

The conjecture that some unknown symmetry is responsible for keeping the Higgs boson light at 125 GeV does not hold for the Standard Model, where the coefficient of the quadratic divergence of Higgs boson self-energy is far from zero. We show that such a cancellation can be achieved in two-Higgs doublet models, by virtue of which all the scalars remain at the electroweak scale and the naturalness problem is avoided. We explore the consequences of such cancellations in different two-Higgs doublet models with no flavour-changing neutral current, and show that the parameter space becomes tightly constrained; in particular, the ratio of two vacuum expectation values, $\tan \beta$, no longer remains a free parameter but turns out to be a function of the quartic couplings.

14 pages, 9 embedded eps figures. v2: A correction in eqs. (13) and (14) for which the discussion on the Lepton-specific 2HDM changed. Some other minor corrections. Version to be published in Phys. Rev. D

References in corpus (23)

• Theory and phenomenology of two-Higgs-doublet models
• The oblique parameters in multi-Higgs-doublet models
• The Renormalization-Group Improved Higgs Sector of the Minimal Supersymmetric Model
• A precision constraint on multi-Higgs-doublet models
• Flavor constraints on two-Higgs-doublet models with general diagonal Yukawa couplings
• Minkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology
• Metastability bounds on the two Higgs doublet model
• Stability of the tree-level vacuum in two Higgs doublet models against charge or CP spontaneous violation
• The Two Higgs Doublet of Type II facing flavour physics data
• Relating the scalar flavour-changing neutral couplings to the CKM matrix
• Renormalization-group constraints on Yukawa alignment in multi-Higgs-doublet models
• Multi-Scalar-Singlet Extension of the Standard Model - the Case for Dark Matter and an Invisible Higgs Boson
• A Natural Two-Higgs-Doublet Model
• Pragmatic approach to the little hierarchy problem: the case for Dark Matter and neutrino physics
• Physical Constraints on a Class of Two-Higgs Doublet Models with FCNC at tree level
• The little hierarchy problem for new physics just beyond the LHC
• Feasibility of light scalars in a class of two-Higgs-doublet models and their decay signatures
• Controlling the fine-tuning problem with singlet scalar dark matter
• Taming the Scalar Mass Problem with a Singlet Higgs Boson
• Phenomenological discriminations of the Yukawa interactions in two-Higgs doublet models with $Z_2$ symmetry
• Triplet-extended scalar sector and the naturalness problem
• Naturalness in a simple two Higgs doublet model
• Canceling Quadratic Divergences in a Class of Two-Higgs-Doublet Models

Cited by in corpus (13)

• Global fits of the two-loop renormalized Two-Higgs-Doublet model with soft $Z_2$ breaking
• Constraints on inert dark matter from metastability of the electroweak vacuum
• Theoretical constraints on masses of heavy particles in Left-Right Symmetric Models
• Hilbert Series and Plethystics: Paving the path towards 2HDM- and MLRSM-EFT
• Implication of Quadratic Divergences Cancellation in the Two Higgs Doublet Model
• Triplet-extended scalar sector and the naturalness problem
• On the scalar potential of two-Higgs doublet models
• Ameliorating the Higgs mass fine-tuning problem with multi-Higgs doublet models
• Non-minimal Coupling Inflation and Dark Matter under the ${\mathbb{Z}}_3$ Symmetry
• The hierarchy problem and the vacuum stability in two-scalar dark matter model
• Veltman Criteria in Beyond Standard Model Effective Field Theory of Complex Scalar Triplet
• Hierarchy problem and dimension-six effective operators
• Reducing the Quadratic Divergence in the Higgs Mass Squared Without Top Partners