Indirect detection is one of the most powerful methods to search for annihilating dark matter. In this work, we investigate the impact of non-perturbative effects in the indirect detection of dark matter. For this purpose we utilize a minimal model consisting of a fermionic dark matter candidate in the TeV mass range that interacts via scalar- and pseudo-scalar interactions with a massive scalar mediator mixing with the Higgs. The scalar interaction induces an attractive Yukawa potential between dark matter particles, such that annihilations are Sommerfeld enhanced, and bound states can form. These non-perturbative effects are systematically dealt with (potential) non-relativistic effective field theories and we derive the relevant cross sections for dark matter. We discuss their impact on the relic density and indirect detection. Annihilations in dwarf galaxies and the Galactic Center require special care and we derive generalized J-factors for these objects that account for the non-trivial velocity dependence of the cross sections in our model. We use limits on the gamma-ray flux based on Fermi-LAT observations and limits on the rate of exotic energy injection from Planck to derive bounds on the parameter space of the model. Finally, we estimate the impact that future limits from the Cherenkov Telescope Array are expected to have on the model.

间接探测是寻找湮灭暗物质最有力的方法之一。在这项工作中，我们研究了非微扰效应对暗物质间接探测的影响。为此，我们利用一个由 TeV 质量范围内的候选费米子暗物质组成的最小模型，该模型通过标量和伪标量相互作用与与希格斯粒子混合的大量标量介体相互作用。标量相互作用会在暗物质粒子之间产生有吸引力的汤川势，从而使索末菲增强湮灭，并形成束缚态。这些非微扰效应被系统地处理（潜在的）非相对论有效场论，并且我们推导了暗物质的相关横截面。我们讨论它们对遗迹密度和间接检测的影响。矮星系和银河中心的湮灭需要特别小心，我们推导出这些物体的广义J因子，解释了我们模型中横截面的重要速度依赖性。我们使用基于费米-LAT 观测的伽马射线通量限制和普朗克外来能量注入速率的限制来推导模型参数空间的界限。最后，我们估计了切伦科夫望远镜阵列的未来限制预计会对模型产生的影响。