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We consider an extension to the Standard Model (SM) with two extra realsinglet scalars which interact with the SM Higgs particle. The lighter scalaris taken as the dark matter (DM) candidate. We show that the model successfullyexplains the relic abundance of the DM in the universe and evades the strongbounds from direct detection experiments while respecting the perturbativityand the vacuum stability conditions. In addition, we study the hierarchyproblem within the Veltman approach by solving the renormalization groupequations at one-loop. We demonstrate that the addition of the real singletscalars contributes to the Veltman parameters which in turn results insatisfying the Veltman conditions much lower than the Planck scale $\Lambda_\text{Pl}$ down to the electroweak scale. Therefore, the presence ofthe extra scalars solves the fine-tuning problem of the Higgs mass. For thecase of the two-scalar DM model we find two representative points in the viableparameter space which satisfy also the Veltman conditions at $\Lambda = 300$GeV and $\Lambda = 1$ TeV.

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