论文标题
层次结构问题和两个尺度暗物质模型中的真空稳定性
The hierarchy problem and the vacuum stability in two-scalar dark matter model
论文作者
论文摘要
我们考虑了标准模型（SM）的扩展，并具有两个与SM Higgs粒子相互作用的额外的真实单元标量。较轻的标量被视为暗物质（DM）候选者。我们表明，该模型成功地解释了宇宙中DM的遗物丰度，并从直接检测实验中逃脱了强大的界限，同时尊重扰动性和真空稳定性条件。此外，我们通过解决一环的重新归一化组方程来研究Veltman方法中的层次结构问题。我们证明，真实的单元标量的添加有助于Veltman参数，而Veltman参数又导致满足Veltman条件远低于Planck量表$λ_\ text {pl} $降低到electroweak量表。因此，额外的标量的存在解决了希格斯质量的微调问题。对于两尺度DM模型，我们在可行的参数空间中找到了两个代表点，它们还满足Veltman条件的$λ= 300 $ GEV，$λ= 1 $ $ tev。
We consider an extension to the Standard Model (SM) with two extra real singlet scalars which interact with the SM Higgs particle. The lighter scalar is taken as the dark matter (DM) candidate. We show that the model successfully explains the relic abundance of the DM in the universe and evades the strong bounds from direct detection experiments while respecting the perturbativity and the vacuum stability conditions. In addition, we study the hierarchy problem within the Veltman approach by solving the renormalization group equations at one-loop. We demonstrate that the addition of the real singlet scalars contributes to the Veltman parameters which in turn results in satisfying the Veltman conditions much lower than the Planck scale $ Λ_\text{Pl}$ down to the electroweak scale. Therefore, the presence of the extra scalars solves the fine-tuning problem of the Higgs mass. For the case of the two-scalar DM model we find two representative points in the viable parameter space which satisfy also the Veltman conditions at $Λ= 300$ GeV and $Λ= 1$ TeV.
