Quartic Coupling Unification in the Maximally Symmetric 2HDM

Abstract

We consider the Maximally Symmetric Two-Higgs Doublet Model (MS-2HDM) in which the so-called Standard Model (SM) alignment can be naturally realised as a consequence of an accidental SO(5) symmetry in the Higgs sector. This symmetry is broken (i) explicitly by renormalization-group (RG) effects and (ii) softly by the bilinear scalar mass term $m_{12}^2$. We find that in the MS-2HDM all quartic couplings can unify at large RG scales ${\mu }_X\sim 10^{11}$-$10^{20}$ GeV. In particular, we show that quartic coupling unification can take place in two different conformally invariant points, where all quartic couplings vanish. We perform a vacuum stability analysis of the model in order to ensure that the electro-weak vacuum is sufficiently long-lived. The MS-2HDM is a minimal and very predictive extension of the SM governed by only three additional parameters: the unification scale ${\mu }_X$, the charged Higgs mass $M_{h^{\pm }}$ (or $m_{12}^2$) and $\tan \beta$, which allow one to determine the entire Higgs sector of the model. In terms of these input parameters, we present illustrative predictions of misalignment for the SM-like Higgs-boson couplings to the $W^{\pm }$ and $Z$ bosons and, for the first time, to the top and bottom quarks.

Minor typo corrected

References in corpus (12)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Big-Bang Nucleosynthesis
• Minkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology
• Generalized CP symmetries and special regions of parameter space in the two-Higgs-doublet model
• Geometric picture of generalized-CP and Higgs-family transformations in the two-Higgs-doublet model
• Heavy Higgs boson decays in the alignment limit of the 2HDM
• On three-loop RGE for the Higgs sector of 2HDM
• Natural Stabilization of the Higgs Boson's Mass and Alignment
• $Z_2$ breaking effects in 2-loop RG evolution of 2HDM
• Custodial SO(4) symmetry and CP violation in N-Higgs-doublet potentials
• Implication of Quadratic Divergences Cancellation in the Two Higgs Doublet Model

Cited by in corpus (16)

• Classifying Accidental Symmetries in Multi-Higgs Doublet Models
• Maximally Symmetric Three Higgs Doublet Model
• Accidental Symmetries in the 2HDMEFT
• Maximising CP Violation in Naturally Aligned Two-Higgs Doublet Models
• Charged and CP-violating Kink Solutions in the Two Higgs Doublet Model
• Higgs alignment and the top quark
• Exceptional regions of the 2HDM parameter space
• Simulations of Domain Walls in Two Higgs Doublet Models
• Charged Higgs Bosons in Naturally Aligned Two Higgs Doublet Models at the LHC
• Dynamical Higgs Field Alignment in the NMSSM
• Signature of the Maximally Symmetric 2HDM via $W^{\pm }/Z$-Quadruplet Productions at the LHC
• Softly broken symmetries in the 2HDM -- an invariant formulation
• Pseudo-Goldstone Dark Matter Model with CP violation
• $k_t$-factorization vs collinear factorization in $W^{+}{W}^{-}$ pair production at the LHC
• Generalized angular-order parton showers in Herwig 7
• Type-II two-Higgs-doublet model in noncommutative geometry