Reducing the Quadratic Divergence in the Higgs Mass Squared Without Top Partners

Abstract

We examine a model with multiple scalar fields to see whether it is possible to reduce the fine- tuning of the SM Higgs mass without introducing low scale top partners. Our approach may be regarded as a generalization of the condition proposed by Veltman, who attempted to predict the Higgs mass using the criterion that the various low energy contributions to the quadratic divergence of the Higgs mass cancel. Although the Veltman condition predicts the wrong Higgs mass in the Standard Model, it can still be adapted to extended Higgs sectors. Furthermore, theories with additional Higgs bosons can lead to suppressed Yukawa couplings of the top quark to the 125 GeV Higgs, making the associated one-loop divergence smaller. Here, we review possible extensions of the Standard Model where the Veltman condition could be realized, and study in detail one minimal model with two extra scalar fields. For this model and for a cutoff of 5 TeV, we show that the overall fine-tuning can be considerably lowered without introducing low-scale Landau poles, albeit the Higgs sector will be strongly coupled at the cutoff. Models where the top Yukawa coupling is reduced, in particular, will be within the reach of the upcoming LHC searches.

15 pages, 7 figures Modified figure 1, added references

References in corpus (18)

• 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
• Improved Naturalness with a Heavy Higgs: An Alternative Road to LHC Physics
• Search for new high-mass phenomena in the dilepton final state using 36 fb${}^{-1}$ of proton-proton collision data at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• Observation of $\mathrm{t}\overline{\mathrm{t}}$H production
• Evidence for the associated production of the Higgs boson and a top quark pair with the ATLAS detector
• Search for heavy resonances decaying into $WW$ in the $e\nu \mu \nu$ final state in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for heavy $ZZ$ resonances in the ${\ell }^{+}{\ell }^{-}{\ell }^{+}{\ell }^{-}$ and ${\ell }^{+}{\ell }^{-}\nu \bar{\nu }$ final states using proton proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for heavy resonances decaying into a $W$ or $Z$ boson and a Higgs boson in final states with leptons and $b$-jets in 36 fb${}^{-1}$ of $\sqrt{s}=13$ TeV $pp$ collisions with the ATLAS detector
• Extending two-Higgs-doublet models by a singlet scalar field - the Case for Dark Matter
• Baryogenesis in the two doublet and inert singlet extension of the Standard Model
• Masses of physical scalars in two Higgs doublet models
• Comments on the Hierarchy Problem in Effective Theories
• Two-Higgs doublet models confront the naturalness problem
• Effects of a Real Singlet Scalar on Veltman Condition
• Implication of Quadratic Divergences Cancellation in the Two Higgs Doublet Model
• Triplet-extended scalar sector and the naturalness problem
• Singlet fermionic dark matter with Veltman conditions

Cited by in corpus (1)

• The hierarchy problem and the vacuum stability in two-scalar dark matter model