Amending the halo model to satisfy cosmological conservation laws

Abstract

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 $AmendedHaloModel$, 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.

arXiv commentChanges made to Figures 1-5 and Tables II-IV

References in corpus (24)

• The Structure of Cold Dark Matter Halos
• Efficient Computation of CMB anisotropies in closed FRW models
• Halo Models of Large Scale Structure
• Toward a halo mass function for precision cosmology: the limits of universality
• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• Analytic model for galaxy and dark matter clustering
• Halo occupation numbers and galaxy bias
• The Large Scale Bias of Dark Matter Halos: Numerical Calibration and Model Tests
• Empirical models for Dark Matter Halos. I. Nonparametric Construction of Density Profiles and Comparison with Parametric Models
• Extended Limber Approximation
• Rotation-Dependent Catastrophic Disruption of Gravitational Aggregates
• Dependence of the outer density profiles of halos on their mass accretion rate
• The splashback radius as a physical halo boundary and the growth of halo mass
• Planck 2015 results. XV. Gravitational lensing
• The Atacama Cosmology Telescope: Two-Season ACTPol Lensing Power Spectrum
• Limitations to the "basic'' HOD model and beyond
• Towards a self-consistent halo model for the nonlinear large-scale structure
• A 2500 square-degree CMB lensing map from combined South Pole Telescope and Planck data
• Extending the modeling of the anisotropic galaxy power spectrum to $k=0.4h{\mathrm{Mpc}}^{-1}$
• Halo Zeldovich model and perturbation theory: dark matter power spectrum and correlation function
• Shot noise and biased tracers: a new look at the halo model
• Concentration, Ellipsoidal Collapse, and the Densest Dark Matter haloes
• Towards Accurate Modelling of Galaxy Clustering on Small Scales: Testing the Standard $\Lambda \mathrm{CDM}$ + Halo Model
• An Accurate Analytic Model for the Thermal Sunyaev-Zel'dovich One-Point PDF

Cited by in corpus (16)

• HMcode-2020: Improved modelling of non-linear cosmological power spectra with baryonic feedback
• The halo model for cosmology: a pedagogical review
• Including beyond-linear halo bias in halo models
• Accurate Analytic Model for the Weak Lensing Convergence One-Point Probability Distribution Function and its Auto-Covariance
• Precision Tests of CO and [CII] Power Spectra Models against Simulated Intensity Maps
• The Effective Halo Model: Creating a Physical and Accurate Model of the Matter Power Spectrum and Cluster Counts
• The Halo Void (Dust) Model of Large Scale Structure
• An Analytic Hybrid Halo + Perturbation Theory Model for Small-scale Correlators: Baryons, Halos, and Galaxies
• A physical and concise halo model based on the depletion radius
• The BAHAMAS project: Evaluating the accuracy of the halo model in predicting the non-linear matter power spectrum
• Got plenty of nothing: cosmic voids as a probe of particle dark matter
• Cosmology in the non-linear regime : the small scale miracle
• The effect of finite halo size on the clustering of neutral hydrogen
• A halo model of extragalactic contamination to CMB lensing, delensing, and cross-correlations
• On the Outskirts of Dark Matter Haloes
• Web-Halo Model (WHM): Accurate non-linear matter power spectrum predictions without free parameters