We study the allowed parameter space of the scalar sector in the superweak extension of the standard model (SM). The allowed region is defined by the following conditions: (i) stability of the vacuum, (ii) perturbativity up to the Planck scale, and (iii) the pole mass of the Higgs boson falling into its experimentally measured range. We employ renormalization group equations and quantum corrections at two-loop accuracy. We study the dependence on the Yukawa couplings of the sterile neutrinos at selected values. We also check the exclusion limit set by the precise measurement of the mass of the $W$ boson. Our method for constraining the parameter space using two-loop predictions can also be applied to simpler models such as the singlet scalar extension of the SM in a straightforward way.

中文翻译：

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标准模型超弱扩展中的真空稳定性和标量质量

我们研究了标准模型（SM）的超弱扩展中标量扇区的允许参数空间。允许的区域由以下条件定义：（i）真空的稳定性，（ii）达到普朗克尺度的微扰，以及（iii）希格斯玻色子的极质量落入其实验测量范围。我们采用双环精度的重整化群方程和量子校正。我们研究了在选定值下无菌中微子对 Yukawa 耦合的依赖性。我们还检查了由精确测量的质量设置的排除限制$W$玻色子。我们使用双环预测约束参数空间的方法也可以直接应用于更简单的模型，例如 SM 的单线态标量扩展。