自相互作用暗物质的 S 矩阵自举边界
S-matrix bootstrap bounds on self-interacting dark matter
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中文总结 AI 辅助
研究自相互作用暗物质，利用解析性等通过色散原初 S 矩阵自举计算最大允许阈值振幅，给出弱耦合标量暗物质质量限制，对于基准截面，一般标量质量\(M\lesssim 0.3\,\mathrm{GeV}\)，赝南布 - 戈德斯通玻色子质量限制更低。
中文摘要 AI 辅助
自相互作用暗物质使星系晕结构直接依赖于低能散射振幅。研究表明，对于弱耦合标量暗物质，这一要求对暗物质粒子质量的限制比仅靠分波幺正性更强。利用解析性、交叉对称性、局域性和分波幺正性，通过色散原初 S 矩阵自举计算最大允许阈值振幅。对于基准自相互作用截面，在可控有效场论框架下，一般弱耦合标量质量满足\(M\lesssim 0.3\,\mathrm{GeV}\)。若暗物质是导数主导的赝南布 - 戈德斯通玻色子，质量限制降至 MeV 尺度或更低。
英文摘要
Self-interacting dark matter turns the structure of galactic halos into a direct requirement on a low-energy scattering amplitude. We show that, for weakly coupled scalar dark matter, this requirement implies a much stronger mass bound on the dark matter particle than partial-wave unitarity alone. Using analyticity, crossing symmetry, locality and partial-wave unitarity, we compute the maximal allowed threshold amplitude with a dispersive primal S-matrix bootstrap, assuming only a weakly coupled EFT below a scale $Λ$ and allowing arbitrary UV particle content above $Λ$. For the benchmark self-interaction cross section $σ_{\rm self}=10^{-24}(M/\mathrm{GeV})\mathrm{cm}^2$, the mass of a generic weakly coupled scalar satisfies $M\lesssim 0.3\,\mathrm{GeV}$ in the controlled EFT regime. If dark matter is a derivative-dominated pseudo-Nambu-Goldstone boson, the mass bound is lowered to the MeV scale or below, depending on the hierarchy $M/Λ$.
