High-scale validity of a two-Higgs doublet scenario: a study including LHC data

Abstract

We consider the conditions for the validity of a two-Higgs doublet model at high energy scales, together with all other low- and high-energy constraints. The constraints on the parameter space at low energy, including the measured value of the Higgs mass and the signal strengths in channels are juxtaposed with the conditions of vacuum stability, perturbativity and unitarity at various scales. We find that a scenario with an exact ${\mathbb{Z}}_2$ symmetry in the potential cannot be valid beyond about 10 TeV without the intervention of additional physics. On the other hand, when the ${\mathbb{Z}}_2$ symmetry is broken, the theory can be valid even up to the Planck scale without any new physics coming in. The interesting feature we point out is that such high-scale validity is irrespective of the uncertainty in the top quark mass as well as ${\alpha }_s(M_Z)$, in contrast with the standard model with a single Higgs doublet. It is also shown that the presence of a CP-violating phase is allowed when the ${\mathbb{Z}}_2$ symmetry is relaxed. The allowed regions in the parameter space are presented for each case. The results are illustrated in the context of a Type-II scenario.

38 pages, 12 figures. Major changes in the presentation of some of the plots, minor changes in the text, references added, typos corrected, matches with published version

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• The global electroweak fit at NNLO and prospects for the LHC and ILC
• The oblique parameters in multi-Higgs-doublet models
• Bounds on scalar masses in two Higgs doublet models
• New Higgs interactions and recent data from the LHC and the Tevatron
• Probing the charged Higgs boson at the LHC in the CP-violating type-II 2HDM
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Cited by in corpus (5)

• Mitigating Direct Detection Bounds in Non-minimal Higgs Portal Scalar Dark Matter Models
• Search for a 'stable alignment limit' in two Higgs-doublet models
• Dark matter, neutrino masses and high scale validity of an inert Higgs doublet model
• N-loop running should be combined with N-loop matching
• Indian Contributions to LHC Theory