Experimental developments in neutrino telescopes are drastically improving their ability to constrain the annihilation cross-section of dark matter. In this paper, we employ an angular power spectrum analysis method to probe the galactic and extra-galactic dark matter signals. First we derive projections for a next generation of neutrino telescope that is inspired by KM3NeT. We emphasise that such analysis is much less sensitive to the choice of dark matter density profile. Remarkably, the projected sensitivity is improved by more than an order of magnitude with respect to the existing limits obtained by assuming the Burkert dark matter density profile describing the galactic halo. Second, we analyse minimal extensions to the Standard Model that will be maximally probed by the next generation of neutrino telescopes. As benchmark scenarios, we consider Dirac dark matter in s- and t-channel models with vector and scalar mediators. We follow a global approach by examining all relevant complementary experimental constraints. We find that neutrino telescopes will be able to competitively probe significant portions of parameter space. Interestingly, the anomaly-free L_μ-L_τ model can potentially be explored in regions where the relic abundance is achieved through freeze-out mechanism.

中微子望远镜的实验发展极大地提高了它们限制暗物质湮灭截面的能力。在本文中，我们采用角功率谱分析方法来探测银河系和银河系外暗物质信号。首先，我们推导出受 KM3NeT 启发的下一代中微子望远镜的投影。我们强调这种分析对暗物质密度剖面的选择不太敏感。值得注意的是，相对于通过假设描述银河晕的 Burkert 暗物质密度剖面获得的现有限制，预计灵敏度提高了一个数量级以上。其次，我们分析了下一代中微子望远镜将最大程度探测到的标准模型的最小扩展。作为基准场景，我们在带有矢量和标量介质的 s 和 t 通道模型中考虑狄拉克暗物质。我们通过检查所有相关的补充实验约束来遵循全局方法。我们发现中微子望远镜将能够竞争性地探测参数空间的重要部分。有趣的是，无异常 L_μ-L_τ 模型有可能在通过冻结机制实现遗迹丰度的地区进行探索。