In this letter, we show that quantum gravity leads to lower and upper bounds on the masses of dark matter candidates. These bounds depend on the spins of the dark matter candidates and the nature of interactions in the dark matter sector. For example, for singlet scalar dark matter, we find a mass range ${10}^{-3}\text{ eV}\lesssim m_{\varphi }\lesssim {10}^7\text{ eV}$. The lower bound comes from limits on fifth force type interactions and the upper bound from the lifetime of the dark matter candidate.

中文翻译：

---

暗物质质量的理论界限

在这封信中，我们证明了量子引力导致暗物质候选物质量的上下界。这些界限取决于暗物质候选者的自旋以及暗物质领域相互作用的性质。例如，对于单重态标量暗物质，我们找到一个质量范围${10}^{-3}\text{ 电子伏特}\lesssim {米}_{\varphi }\lesssim {10}^7\text{ 电子伏特}$。下限来自第五种力类型相互作用的极限，上限来自暗物质候选者的寿命。