论文标题

光环偏置对宇宙网络各向异性的依赖性的单独宇宙校准

Separate Universe calibration of the dependence of halo bias on cosmic web anisotropy

论文作者

Ramakrishnan, Sujatha, Paranjape, Aseem

论文摘要

We use the Separate Universe technique to calibrate the dependence of linear and quadratic halo bias $b_1$ and $b_2$ on the local cosmic web environment of dark matter haloes. We do this by measuring the response of halo abundances at fixed mass and cosmic web tidal anisotropy $α$ to an infinite wavelength initial perturbation. We augment our measurements with an analytical framework developed in earlier work which exploits the near-Lognormal shape of the distribution of $α$ and results in very high precision calibrations. We present convenient fitting functions for the dependence of $b_1$ and $b_2$ on $α$ over a wide range of halo mass for redshifts $0\leq z\leq1$.我们对$ b_2(α)$的校准是迄今为止非线性偏差在本地网络环境中依赖的第一次演示。 Motivated by previous results which showed that $α$ is the primary indicator of halo assembly bias for a number of halo properties beyond halo mass, we then extend our analytical framework to accommodate the dependence of $b_1$ and $b_2$ on any such secondary property which has, or can be monotonically transformed to have, a Gaussian distribution.我们为光晕浓度的特定情况证明了这项技术,并与先前的结果找到了良好的一致性。 Our calibrations will be useful for a variety of halo model analyses focusing on galaxy assembly bias, as well as analytical forecasts of the potential for using $α$ as a segregating variable in multi-tracer analyses.

We use the Separate Universe technique to calibrate the dependence of linear and quadratic halo bias $b_1$ and $b_2$ on the local cosmic web environment of dark matter haloes. We do this by measuring the response of halo abundances at fixed mass and cosmic web tidal anisotropy $α$ to an infinite wavelength initial perturbation. We augment our measurements with an analytical framework developed in earlier work which exploits the near-Lognormal shape of the distribution of $α$ and results in very high precision calibrations. We present convenient fitting functions for the dependence of $b_1$ and $b_2$ on $α$ over a wide range of halo mass for redshifts $0\leq z\leq1$. Our calibration of $b_2(α)$ is the first demonstration to date of the dependence of non-linear bias on the local web environment. Motivated by previous results which showed that $α$ is the primary indicator of halo assembly bias for a number of halo properties beyond halo mass, we then extend our analytical framework to accommodate the dependence of $b_1$ and $b_2$ on any such secondary property which has, or can be monotonically transformed to have, a Gaussian distribution. We demonstrate this technique for the specific case of halo concentration, finding good agreement with previous results. Our calibrations will be useful for a variety of halo model analyses focusing on galaxy assembly bias, as well as analytical forecasts of the potential for using $α$ as a segregating variable in multi-tracer analyses.

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