In the next decades, ultra-high-energy neutrinos in the EeV energy range will be potentially detected by next-generation neutrino telescopes. Although their primary goals are to observe cosmogenic neutrinos and to gain insight into extreme astrophysical environments, they can also indirectly probe the nature of dark matter. In this paper, we study the projected sensitivity of up-coming neutrino radio telescopes, such as RNO-G, GRAND and IceCube-gen2 radio array, to decaying dark matter scenarios. We investigate different dark matter decaying channels and masses, from 10⁷ to 10¹⁵ GeV. By assuming the observation of cosmogenic or newborn pulsar neutrinos, we forecast conservative constraints on the lifetime of heavy dark matter particles. We find that these limits are competitive with and highly complementary to previous multi-messenger analyses.

未来几十年，下一代中微子望远镜将有可能探测到 EeV 能量范围内的超高能中微子。虽然他们的主要目标是观察宇宙中微子并深入了解极端天体物理环境，但他们也可以间接探测暗物质的性质。在本文中，我们研究了即将推出的中微子射电望远镜（如 RNO-G、GRAND 和 IceCube-gen2 射电阵列）对衰变暗物质场景的预计灵敏度。^{我们研究了从 10 7}到 10 ¹⁵的不同暗物质衰变通道和质量锗钒。通过假设观测到宇宙成因或新生脉冲星中微子，我们预测了对重暗物质粒子寿命的保守限制。我们发现这些限制与以前的多信使分析具有竞争力并高度互补。