We consider the effective theory for self-interacting dark matter with arbitrary spin and go beyond the previous discussion in the literature by introducing a massive spin-2 particle as the mediator for dark matter (DM) self-scattering. We present effective self-interactions for DM in the leading order expansions with momentum transfer and DM velocity. We compare the Born cross section and the non-perturbative cross section in the leading-order approximation of the effective Yukawa interaction. As a result, we find that there is a wide range of DM and spin-2 particle masses for velocity-dependent self-scattering to solve small-scale problems in galaxies and to satisfy the bounds from galaxy clusters at the same time.

我们考虑了具有任意自旋的自相互作用暗物质的有效理论，并通过引入大量自旋 2 粒子作为暗物质 (DM) 自散射的介体，超越了之前文献中的讨论。我们在具有动量转移和 DM 速度的领先阶扩展中展示了 DM 的有效自相互作用。我们比较了有效 Yukawa 相互作用的领先阶近似中的 Born 横截面和非微扰横截面。结果，我们发现存在大范围的 DM 和自旋 2 粒子质量用于速度相关的自散射，以解决星系中的小尺度问题，同时满足星系团的边界。