AI 中文总结
本文研究标准模型的最小经典尺度不变扩展模型，通过改进的壳上重整化方案确定模型参数，因热冻结被排除，得到暗物质质量约2MeV的冻结解，当前直接探测实验无法约束该场景，该模型可连接辐射电弱对称性破缺与冻结暗物质起源。
AI 中文摘要
我们研究标准模型的最小经典尺度不变扩展模型，其包含一个由$\boldsymbol{\rm Z_2}$对称性稳定的实标量单重态，该单重态的质量并非独立输入，而是通过量子有效势动态产生，并通过希格斯门户与辐射电弱对称性破缺关联。我们构建完整的两场单圈有效势，并引入改进的壳上重整化方案，该方案确定电弱真空、希格斯质量、希格斯-单重态混合为零以及物理点处的单重态曲率，从而得到在重整化标度变化下稳定的预测。由于直接探测限制排除了热冻结机制，我们确定该模型的一种高度可预测的冻结实现。施加微扰性、真空稳定性和观测到的遗迹丰度，得到冻结解对应的暗物质质量约为$\boldsymbol{2\rm MeV}$。该解预测的电子散射截面远低于当前DAMIC-M的灵敏度，因此当前直接探测实验无法约束该场景。最小尺度不变单重态模型因此提供了一个稳健且高度可预测的框架，连接辐射电弱对称性破缺与冻结暗物质起源。
英文摘要
We study the minimal classically scale-invariant extension of the Standard Model, containing a single $\mathbb Z_2$-stabilised real scalar singlet whose mass is not an independent input but is generated dynamically through the quantum effective potential and linked to radiative electroweak symmetry breaking through the Higgs portal. We construct the full two-field one-loop effective potential and introduce a modified on-shell renormalisation scheme that fixes the electroweak vacuum, the Higgs mass, the vanishing Higgs--singlet mixing and the singlet curvature at the physical point, yielding predictions stable under renormalisation-scale variation. Since thermal freeze-out is excluded by direct-detection limits, we identify a highly predictive freeze-in realisation of this model. Imposing perturbativity, vacuum stability and the observed relic abundance leads to a freeze-in solution with a dark-matter mass of around $2~{\rm MeV}$. The predicted electron-scattering cross section for this solution lies far below the current sensitivity of DAMIC-M. Current direct-detection experiments therefore do not constrain this scenario. The minimal scale-invariant singlet model thus provides a robust and highly predictive framework connecting radiative electroweak symmetry breaking and freeze-in dark-matter genesis.
Comments26 pages, 4 figures
