Constraints from Heavy Higgs boson masses in the two Higgs doublet model

Abstract

Upon the absence of signals of new physics at the LHC, a reasonable strategy is to assume that new particles are very heavy and the other model parameters are unknown yet. In the aligned two Higgs doublet model, however, heavy Higgs boson masses above 500 GeV enhance some couplings in the scalar potential, which causes a breakdown of the perturbative unitariry in general. Some tuning among model parameters is required. We find that one information on the heavy Higgs boson mass, say $M_H$, has significant theoretical implications: (i) the other heavy Higgs bosons should have similar masses to $M_H$ within $\pm \mathcal{O}(10)\%$; (ii) the inequalities from the theoretical constraints are practically reduced to an equation such that $m_{12}^2\tan \beta$ is constant, where $m_{12}^2$ is the soft $Z_2$ breaking parameter and $\tan \beta$ is the ratio of two vacuum expectation values; (iii) the triple Higgs coupling ${\lambda }_{HHh}$ is constant over $\tan \beta$ while ${\lambda }_{HHH}$ and ${\lambda }_{AAH}$ are linearly proportional to $\tan \beta$. The double Higgs-strahlung process of $e^{+}{e}^{-}\to ZHH$ is also studied, of which the total cross section is almost constant with the given $M_H$.

references are added. Minor corrections are made

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
• Weak Radiative Decays of the B Meson and Bounds on $M_{H^{\pm }}$ in the Two-Higgs-Doublet Model
• Search for additional heavy neutral Higgs and gauge bosons in the ditau final state produced in 36 fb${}^{-1}$ of $pp$ collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• Search for Scalar Diphoton Resonances in the Mass Range $65-600$ GeV with the ATLAS Detector in $pp$ Collision Data at $\sqrt{s}$ = 8 $TeV$
• Search for neutral MSSM Higgs bosons decaying to a pair of tau leptons in pp collisions
• Building and testing models with extended Higgs sectors
• Search for neutral Higgs bosons of the minimal supersymmetric standard model in pp collisions at $\sqrt{s}$ = 8 TeV with the ATLAS detector
• Search for new phenomena in high-mass diphoton final states using 37 fb${}^{-1}$ of proton-proton collisions collected at $\sqrt{s}=13$ TeV with the ATLAS detector
• Global fits of GUT-scale SUSY models with GAMBIT
• Search for high-mass diphoton resonances in proton-proton collisions at 13 TeV and combination with 8 TeV search
• MSSM Higgs Bosons at The LHC
• High-scale validity of a two-Higgs doublet scenario: a study including LHC data
• Probing triple Higgs couplings of the Two Higgs Doublet Model at Linear Collider
• Measurement of the inclusive $B\to X_{s+d}\gamma$ branching fraction, photon energy spectrum and HQE parameters
• Review of LHC experimental results on low mass bosons in multi Higgs models
• Report by the Committee on the Scientific Case of the ILC Operating at 250 GeV as a Higgs Factory
• Gigantic diphoton rate of heavy Higgs bosons in the aligned two Higgs doublet models with small $\tan \beta$