A robust measurement of the first higher-derivative bias of dark matter halos

Abstract

We present a new simulation technique in which any chosen mode $\mathbf{k}$ of the density contrast field can be amplified by an amplitude $\Delta$. These amplified-mode simulations allow us to study the response of the halo density field to a long-wavelength mode other than the DC mode. In this sense they are a generalization of the separate-universe simulations to finite-wavelength modes. In particular, we use these simulations to obtain robust measurements of the first higher-derivative bias of dark matter halos $b_{{\nabla }^2\delta }$. We find a negative bias at all mass considered, roughly following the $-R_L^2(M)$ relation, the Lagrangian radius of halos squared, as naively expected. We compare our results with those obtained from a fit to the 1-loop halo-matter power spectrum, as well as with the recent results from Abidi and Baldauf (2018), and to the prediction from the peak theory.

26 pages, 9 figures; v2: minor modifications through the paper and on fig.7. Version accepted by JCAP

References in corpus (5)

• Modeling scale-dependent bias on the baryonic acoustic scale with the statistics of peaks of Gaussian random fields
• Separate Universe Simulations
• Baryon acoustic signature in the clustering of density maxima
• Scale-dependent Galaxy Bias
• Phenomenology of BAO evolution from Lagrangian to Eulerian Space

Cited by in corpus (26)

• Large-scale dark matter simulations
• The cosmology dependence of galaxy clustering and lensing from a hybrid $N$-body-perturbation theory model
• An EFT description of galaxy intrinsic alignments
• Testing one-loop galaxy bias: joint analysis of power spectrum and bispectrum
• Galaxy bias and primordial non-Gaussianity: insights from galaxy formation simulations with IllustrisTNG
• Galaxy bias from forward models: linear and second-order bias of IllustrisTNG galaxies
• The BACCO simulation project: biased tracers in real space
• An $n$-th order Lagrangian Forward Model for Large-Scale Structure
• Testing one-loop galaxy bias: Power spectrum
• Cosmology Inference from Biased Tracers using the EFT-based Likelihood
• Priors on Lagrangian bias parameters from galaxy formation modelling
• Baryon-CDM isocurvature galaxy bias with IllustrisTNG
• Responses of Halo Occupation Distributions: a new ingredient in the halo model & the impact on galaxy bias
• EFTofLSS meets simulation-based inference: ${\sigma }_8$ from biased tracers
• Testing one-loop galaxy bias: cosmological constraints from the power spectrum
• Renormalisation of linear halo bias in N-body simulations
• Lagrangian approach to super-sample effects on biased tracers at field level: galaxy density fields and intrinsic alignments
• Grid-based calculations of redshift-space matter fluctuations from perturbation theory: UV sensitivity and convergence at the field level
• Neutrino mass constraints beyond linear order: cosmology dependence and systematic biases
• Non-perturbative halo clustering from cosmological density peaks
• Fast Calculation of Nonlinear Redshift-space Galaxy Power Spectrum Including Selection Bias
• A fully Lagrangian, non-parametric bias model for dark-matter halos
• How do uncertainties in galaxy formation physics impact field-level galaxy bias?
• Probabilistic Lagrangian bias estimators and the cumulant bias expansion
• Bye-bye, Local-in-matter-density Bias: The Statistics of the Halo Field Are Poorly Determined by the Local Mass Density
• Non-parametric Lagrangian biasing from the insights of neural nets