论文标题
LSS的可能性：偏置系数的随机性
The Likelihood for LSS: Stochasticity of Bias Coefficients at All Orders
论文作者
论文摘要
在有偏见的示踪剂的EFT中，噪声场$ \ varepsilon_g $与非线性物质字段$δ$并不完全相关。通过在每个偏置系数中添加随机性，可以有效地捕获其与$δ$的相关性。我们表明，如果这些随机场是高斯（无论如何它们的非高卢人都在准线性尺度上进行了超过的影响），就可以准确地恢复它们对有条件的可能性$ {\ cal P} [δ_g|δ] $的影响，以观察到Galaxy Field $δ_g$ freply $Δ$Δ$Δ$Δ这种重新召集允许在基于EFT的贝叶斯前向建模的方法中考虑它们。我们强调的是，对纯粹的高斯条件可能性的校正具有白色噪声协方差，这是EFT受到控制的尺度上最相关的：它们比噪声$ \ varepsilon_g $的任何非高斯都重要。
In the EFT of biased tracers the noise field $\varepsilon_g$ is not exactly uncorrelated with the nonlinear matter field $δ$. Its correlation with $δ$ is effectively captured by adding stochasticities to each bias coefficient. We show that if these stochastic fields are Gaussian (the impact of their non-Gaussianity being subleading on quasi-linear scales anyway) it is possible to resum exactly their effect on the conditional likelihood ${\cal P}[δ_g|δ]$ to observe a galaxy field $δ_g$ given an underlying $δ$. This resummation allows to take them into account in EFT-based approaches to Bayesian forward modeling. We stress that the resulting corrections to a purely Gaussian conditional likelihood with white-noise covariance are the most relevant on scales where the EFT is under control: they are more important than any non-Gaussianity of the noise $\varepsilon_g$.
