AI 中文总结
针对快速射电暴的星系际色散量分布，提出半解析随机前向模型\turbofrb，经IllustrisTNG基准校准，匹配度高，可用于量化FRB宿主超出事件并恢复$H_0$。
AI 中文摘要
快速射电暴通过其观测到的色散量探测电离重子。我们提出了\turbofrb，这是一个用于星系际色散量分布$P({\rm DM}_{\rm IGM}\mid z)$的半解析随机前向模型，它将弥散星系际介质（IGM）、星系晕和纤维结构的贡献解析为明确的物理通道，其中星系晕和纤维结构的并合率通过一个潜在的视线环境变量耦合。仅用四个有效参数针对流体动力学光线追踪的IllustrisTNG基准进行校准。该模型将基准的平均DM匹配到百分位水平，在$z = 0.5$-$2.5$范围内每红移的Jensen-Shannon散度最多为$5\times10^{-3}$。每条视线的通道分解明确了闭式参数描述无法展示的内容：弥散IGM决定了分布的主体，而星系晕和纤维结构则填充了高DM尾部。应用于代表性的已定位FRB时，该前向似独立于其天体物理特征量化了宿主超出事件，并在闭环一致性测试中以$1\sigma$的置信度恢复了注入的$H_0$。\turbofrb软件包可在该HTTP URL获取。
英文摘要
Fast Radio Bursts probe ionised baryons through their observed dispersion measures. We present \turbofrb, a semi-analytic stochastic forward model for the intergalactic dispersion-measure distribution, $P({\rm DM}_{\rm IGM}\mid z)$, that resolves the diffuse IGM, halo, and filament contributions as explicit physical channels, with the halo and filament encounter rates coupled by a latent line-of-sight environmental variable. Only four effective parameters are calibrated against hydrodynamical ray-traced IllustrisTNG benchmark. The model matches the benchmark mean DM to the percent level and yields a per-redshift Jensen-Shannon divergence of at most $5\times10^{-3}$ across $z = 0.5$-$2.5$. The per-sightline channel decomposition makes explicit what closed-form parametric descriptions cannot show: the diffuse IGM sets the body of the distribution, while halos and filaments populate the high-DM tail. Applied to representative localised FRBs, the forward likelihood quantifies host-excess events independently of their astrophysical signatures and recovers the injected $H_0$ within $1σ$ in a closed-loop consistency test. The \turbofrb package is available at \href{https://github.com/jefersonfortunato/turbofrb}{github.com/jefersonfortunato/turbofrb}.
