Non-universality of the mass function: dependence on the growth rate and power spectrum shape

Abstract

The abundance of dark matter haloes is one of the key probes of the growth of structure and expansion history of the Universe. Theoretical predictions for this quantity usually assume that, when expressed in a certain form, it depends only on the mass variance of the linear density field. However, cosmological simulations have revealed that this assumption breaks, leading to 10-20% systematic effects. In this paper we employ a specially-designed suite of simulations to further investigate this problem. Specifically, we carry out cosmological N-body simulations where we systematically vary growth history at a fixed linear density field, or vary the power spectrum shape at a fixed growth history. We show that the halo mass function generically depends on these quantities, thus showing a clear signal of non-universality. Most of this effect can be traced back to the way in which the same linear fluctuation grows differently into the nonlinear regime depending on details of its assembly history. With these results, we propose a parameterization with explicit dependence on the linear growth rate and power spectrum shape. Using an independent suite of simulations, we show that this fitting function accurately captures the mass function of haloes over cosmologies spanning a vast parameter space, including massive neutrinos and dynamical dark energy. Finally, we employ this tool to improve the accuracy of so-called cosmology-rescaling methods and show they can deliver 2% accurate predictions for the halo mass function over the whole range of currently viable cosmologies.

References in corpus (16)

• The halo mass function from the dark ages through the present day
• The Halo Mass Function: High-Redshift Evolution and Universality
• The BACCO Simulation Project: Exploiting the full power of large-scale structure for cosmology
• The pseudo-evolution of halo mass
• Accurate initial conditions for cosmological N-body simulations: Minimizing truncation and discreteness errors
• Modelling the large scale structure of the Universe as a function of cosmology and baryonic physics
• The Structure of Halos: Implications for Group and Cluster Cosmology
• On the impact of baryons on the halo mass function, bias, and cluster cosmology
• Cosmological constraints from the CFHTLenS shear measurements using a new, accurate and flexible way of predicting nonlinear mass clustering
• Universal at last? The splashback mass function of dark matter halos
• A natural boundary of dark matter haloes revealed around the minimum bias and maximum infall locations
• 3\%-accurate predictions for the clustering of dark matter, haloes and subhaloes, over a wide range of cosmologies and scales
• A Redefinition of the Halo Boundary Leads to a Simple yet Accurate Halo Model of Large Scale Structure
• eROSITA cluster cosmology forecasts: cluster temperature substructure bias
• Testing dark matter halo properties using self-similarity
• Remapping simulated halo catalogues in redshift space

Cited by in corpus (30)

• Large-scale dark matter simulations
• DES Y3 cosmic shear down to small scales: constraints on cosmology and baryons
• The BACCO simulation project: biased tracers in real space
• The primordial matter power spectrum on sub-galactic scales
• Priors on Lagrangian bias parameters from galaxy formation modelling
• The MillenniumTNG Project: Inferring cosmology from galaxy clustering with accelerated N-body scaling and subhalo abundance matching
• Euclid preparation. XXXII. Evaluating the weak lensing cluster mass biases using the Three Hundred Project hydrodynamical simulations
• Structure Formation and the Global 21-cm Signal in the Presence of Coulomb-like Dark Matter-Baryon Interactions
• CSST Cosmological Emulator I: Matter Power Spectrum Emulation with one percent accuracy to k = 10 h/Mpc
• HYMALAIA: A Hybrid Lagrangian Model for Intrinsic Alignments
• Evolution mapping: a new approach to describe matter clustering in the non-linear regime
• The SRG/eROSITA All-Sky Survey : Constraints on the structure growth from cluster number counts
• A physical and concise halo model based on the depletion radius
• Tomography-based observational measurements of the halo mass function via the submillimeter magnification bias
• On constraining Cosmology and the Halo Mass Function with Weak Gravitational Lensing
• CSST Cosmological Emulator II: Generalized Accurate Halo Mass Function Emulation
• Halo mass function in scale invariant models
• Deep learning insights into non-universality in the halo mass function
• Sensitivity of the Global 21-cm Signal to Dark Matter-Baryon Scattering
• High-redshift Galaxies from JWST Observations in More Realistic Dark Matter Halo Models
• Accurate halo mass functions from the simplest excursion set theory
• Structure Formation with Warm White Noise: Effects of Finite Number Density and Velocity Dispersion in Particle and Wave Dark Matter
• Aemulus $\nu$: Precision halo mass functions in w$\nu$CDM cosmologies
• DUCA: Dynamic Universe Cosmological Analysis. I. The halo mass function in dynamical dark energy cosmologies
• STRAWBERRY: Finding haloes in the gravitational potential
• On the universality of the halo mass function beyond $\Lambda$CDM cosmology
• Euclid preparation. L. Calibration of the linear halo bias in $\Lambda (\nu )$CDM cosmologies
• On the virialization threshold for halo mass functions
• DUCA: Dynamic Universe Cosmological Analysis. II. The impact of clustering dark energy on the halo mass function
• Universality of the halo mass function in modified gravity cosmologies