Linear response to long wavelength fluctuations using curvature simulations

Abstract

We study the local response to long wavelength fluctuations in cosmological $N$-body simulations, focusing on the matter and halo power spectra, halo abundance and non-linear transformations of the density field. The long wavelength mode is implemented using an effective curved cosmology and a mapping of time and distances. The method provides an alternative, most probably more precise, way to measure the isotropic halo biases. Limiting ourselves to the linear case, we find generally good agreement between the biases obtained from the curvature method and the traditional power spectrum method at the level of a few percent. We also study the response of halo counts to changes in the variance of the field and find that the slope of the relation between the responses to density and variance differs from the naive derivation assuming a universal mass function by 18%. This has implications for measurements of the amplitude of local non-Gaussianity using scale dependent bias. We also analyze the halo power spectrum and halo-dark matter cross-spectrum response to long wavelength fluctuations and derive second order halo bias from it, as well as the super-sample variance contribution to the galaxy power spectrum covariance matrix.

29 pages, 14 figures

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• Assembly bias in the local PNG halo bias and its implication for $f_{\mathrm{NL}}$ constraints
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• Anisotropic separate universe simulations
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• Gravitational wave fossils in nonlinear regime: halo tidal bias and intrinsic alignments from gravitational wave separate universe simulations
• First Detection of Cosmic Microwave Background Lensing and Lyman-α Forest Bispectrum
• Quadratic shape biases in three-dimensional halo intrinsic alignments
• Quintessential Scale Dependence from Separate Universe Simulations
• Renormalisation of linear halo bias in N-body simulations
• The position-dependent matter density probability distribution function
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• Measurement of Void Bias Using Separate Universe Simulations
• Halo assembly bias from a deep learning model of halo formation
• Separate Universe Void Bias
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• Separate Universes beyond General Relativity
• The halo squeezed-limit bispectrum with primordial non-Gaussianity: a power spectrum response approach
• Quintessential Isocurvature in Separate Universe Simulations
• Impacts of pre-initial conditions on anisotropic separate universe simulations: a boosted tidal response in the epoch of reionization
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• Cosmological boost factor for dark matter annihilation at redshifts of $z=10$-$100$ using the power spectrum approach
• Scale-dependent halo bias and the squeezed limit bispectrum in the presence of radiation
• A semi-analytic estimate for the effective sound speed counterterm in the EFTofLSS
• Large-scale structure with superhorizon isocurvature dark energy