修改晕模型以满足宇宙学守恒定律
Amending the halo model to satisfy cosmological conservation laws
摘要：
大尺度结构的晕模型是理论宇宙学家最有力的工具之一，它提供了对宇宙非线性结构的唯象描述。然而，众所周知，没有简单的方法在晕模型中施加守恒定律。这会严重损害对大尺度观测量的预测，例如弱透镜效应或运动学的Sunyaev-Zel'dovich效应，它们应该分别满足质量和动量守恒。例如，标准光晕模型在尺度$>20$度上通过$> 8\%$过度预测弱透镜功率谱。为了解决这个问题，我们提出了一个$Amended ~ Halo ~ Model$，明确分离线性扰动$compensated$晕配置文件。这保证遵守守恒定律，以及大尺度上的线性理论预测。然后，我们提供了一个简单的补偿晕轮廓的拟合函数，并讨论了1-halo和2-halo项的修正预测，以及其他宇宙学观测，如弱透镜功率谱。此外，我们认为，修正的晕模型提供了一个更准确的框架来捕捉宇宙结构形成过程中发生的物理效应。
英文摘要：
One of the most powerful tools in the arsenal of theoretical cosmologists is the halo model of large scale structure, which provides a phenomenological description of nonlinear structure in our universe. However, it is well known that there is no simple way to impose conservation laws in the halo model. This can severely impair the predictions on large scales for observables such as weak lensing or the kinematic Sunyaev-Zel'dovich effect, which should satisfy mass and momentum conservations, respectively. For example, the standard halo model overpredicts weak lensing power spectrum by $> 8\%$ on scales $>20$ degrees. To address this problem, we present an $Amended ~ Halo ~ Model$, explicitly separating the linear perturbations from $compensated$ halo profiles. This is guaranteed to respect conservation laws, as well as linear theory predictions on large scales. We then provide a simple fitting function for the compensated halo profiles, and discuss the modified predictions for 1-halo and 2-halo terms, as well as other cosmological observations such weak lensing power spectrum. Furthermore, we argue that the amended halo model provides a more accurate framework to capture physical effects that happen in the process of cosmological structure formation.
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