High-scale validity of a model with Three-Higgs-doublets

Abstract

We consider a three-Higgs doublet scenario in this paper, invariant under the discrete group S3 , and probe its high-scale validity by allowing the model parameters to evolve under a renormalization group. We choose two particular alignments of vacuum expectation values (vev) for our study, out of a set of several such possible ones. All three doublets receive nonzero vacuum expectation values in the first case, and in the second case, two of the doublets remain without vev. The constraints on the parameter space at low energy, including the measured value of the Higgs mass and the signal strengths, oblique corrections and also measurements of relic density and direct detection rates are juxtaposed with the conditions of vacuum stability, perturbativity and unitarity at various scales. We find that the scenario with three nonzero vevs is not valid beyond 107 GeV, assuming no additional physics participates at the intermediate scales. On the contrary, the scenario with only one nonzero vev turns out to be a successful model for cold dark matter phenomenology, which also turns out to be valid up to the Planck scale at the same time. Stringent restrictions are obtained on the model parameter space in each case. Thus, the S3 symmetric scalar sector emerges as an ultraviolet complete theory.

One plot in FIG.2 added, presentation of figures improved. Typos corrected, minor modifications in the text. Matches published version

References in corpus (22)

• 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
• Dark Matter Results from 225 Live Days of XENON100 Data
• Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC $pp$ collision data at $\sqrt{s}=$ 7 and 8 TeV
• Precise determination of the mass of the Higgs boson and tests of compatibility of its couplings with the standard model predictions using proton collisions at 7 and 8 TeV
• The oblique parameters in multi-Higgs-doublet models
• Measurement of Higgs boson production in the diphoton decay channel in $pp$ collisions at center-of-mass energies of 7 and 8 TeV with the ATLAS detector
• The lifetime of the electroweak vacuum and sensitivity to Planck scale physics
• Lepton masses, mixings and FCNC in a minimal S_3-invariant extension of the Standard Model
• Symmetry breaking patterns in 3HDM
• Bounds on scalar masses in two Higgs doublet models
• Discrete symmetries in the three-Higgs-doublet model
• S_3 Symmetry and Neutrino Masses and Mixings
• Analysis of an extended scalar sector with $S_3$ symmetry
• Exotic Higgs boson decay modes as a harbinger of $S_3$ flavor symmetry
• Higgs CP Properties From Early LHC Data
• High-scale validity of a two-Higgs doublet scenario: a study including LHC data
• Dark Matter with Two Inert Doublets plus One Higgs Doublet
• Constraints on Parameter Space from Perturbative Unitarity in Models with Three Scalar Doublets
• Three generations of Higgses and the cyclic groups
• Novel signatures of the Higgs sector from S3 flavor symmetry
• Quark/lepton mass and mixing in S_3 invariant model and CP-violation of neutrino

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