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

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

7 Jul 2020arXiv:2007.03711links table onlyarchive 2025-07-28

Sujatha Ramakrishnan, Aseem Paranjape

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We use the Separate Universe technique to calibrate the dependence of linear and quadratic halo bias b₁ and b₂ 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 b₁ and b₂ on α over a wide range of halo mass for redshifts 0≤z≤1. Our calibration of b₂(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 b₁ and b₂ 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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