Two component Higgs-portal dark matter

Abstract

In this paper, we construct two component dark matter model and revisit fine-tuning, unitarity and vacuum stability problem in this framework. Through Higgs-portal interactions, the additional scalar and vector singlet field can interact with the SM particles. The parameter space of the model are severely constraint by observed relic density and direct detection experiments. We found that, unlike the SM, the fine-tuning problem is relaxed due to the modified Veltman condition. The vacuum stability problem is addressed, the additional contributions from two DM singlets to the β function make the Higgs quartic coupling λ(µ) be positive up to Planck scale in some parameter space. 1 The simplest solution to the problem is to suppose V C SM = 0 [2], the conventional Veltman condition is realized. It is obvious that this condition could not be satisfied in the SM at low scale, since the top-quark's contribution is larger than the others in this case, giving rise to negative contribution to V C SM .

Two component dark matter with multi-Higgs portals

“…1 At the same time, the way to test the mechanism alleviating the naturalness problem could also been used to test SFOEWPT, which is just one of the preliminary aims of the International Linear Collider (ILC) [8]. Thirdly, vacuum instability could be rescued by introducing vector and scalar fields [3,[17][18][19][20][21][22], and thus making the inflation with not very small top quark mass possible to coincide with the BICEP and Plank data [23,24].…”

“…There are many studies on the multi-component DM scenarios, see [3,[25][26][27][28][29][30][31][32][33][34][35], as well as the dynamical DM scenario [36,37] whose phenomenological consequences are often quite distinct and can be applied to a much broader variety of multi-component DM scenarios [38][39][40][41]. The primary purpose of this work is to explain the CDM relic density, where the two different DM components interact with each other besides with the three Higgses, thus affects the evolution of the DM components number densities through the coupled Boltzman equations [3,42].…”

“…For the method to introduce vector dark matter through the effective Lagarangian method yielding strongly constraints on the parameters space from the unitarity constraints [3,43,44], we consider the scenario in which the vector dark matter fields (V µ ) respects an extra non-Abelian gauge symmetry SU(2) D . After the SU(2) D being broken via the the complex doublet(φ), one SO(3) symmetry is induced which V µ respects to, thus making V µ stable.…”

“…The magnitudes of annihilation cross sections of scalar DM fields (vector DM fields) to the SM particles, around the three Higgs field masses, are enlarged due to the t,u and seagull channels of AA(V V ) → h i h i . 3 The spin-independent (SI) DM-nucleon scattering cross sections are determined by t-channel interactions between the nucleon and two component DMs through the exchangeing of three Higgs fields. The model could be distinguished from the model with no interaction between the two DMs, since the opening of the channel AA → V V (V V → AA) does affect the evolution of DM number density, and thus the magnitude of relic density.…”

“…However, the naturalness problem is still unsolved. To alleviate the problem, as well known and extensively studied, more bosonic fields are needed [3][4][5][6][7]. Recently, it has been noticed that the Higgs field-strength renormalization could be enhanced by these new boson fields [8][9][10].…”