Title: Asymptotic safety in the dark Show Chinese title

Title: 暗物质中的渐近安全

Abstract: We explore the Renormalization Group flow of massive uncharged fermions -- a candidate for dark matter -- coupled to a scalar field through a Higgs portal. We find that fermionic fluctuations can lower the bound on the scalar mass that arises from vacuum stability. Further, we discuss that despite the perturbative nonrenormalizability of the model, it could be ultraviolet complete at an asymptotically safe fixed point. In our approximation, this simple model exhibits two mechanisms for asymptotic safety: a balance of fermionic and bosonic fluctuations generates a fixed point in the scalar self-interaction; asymptotic safety in the portal coupling is triggered through a balance of canonical scaling and quantum fluctuations. As a consequence of asymptotic safety in the dark sector, the low-energy value of the portal coupling could become a function of the dark fermion mass and the scalar mass, thereby reducing the viable parameter space of the model. Show Chinese abstract

Abstract: 我们研究了质量为零的中性费米子——暗物质的一种候选者——通过希格斯通道与标量场的重整化群流。 我们发现费米子涨落可以降低由真空稳定性产生的标量质量的下限。 此外，我们讨论到，尽管该模型在微扰意义上不可重正化，但它可能在渐近安全固定点处是紫外完备的。 在我们的近似中，这个简单模型表现出两种渐近安全机制：费米子和玻色子涨落的平衡在标量自相互作用中产生一个固定点；门户耦合的渐近安全性通过规范标度和量子涨落的平衡来触发。 由于暗区中的渐近安全性，门户耦合的低能值可能成为暗费米子质量和标量质量的函数，从而减少该模型的可行参数空间。