Cosmology with massive neutrinos III: the halo mass function and an application to galaxy clusters

Abstract

We use a suite of N-body simulations that incorporate massive neutrinos as an extra-set of particles to investigate their effect on the halo mass function. We show that for cosmologies with massive neutrinos the mass function of dark matter haloes selected using the spherical overdensity (SO) criterion is well reproduced by the fitting formula of Tinker et al. (2008) once the cold dark matter power spectrum is considered instead of the total matter power, as it is usually done. The differences between the two implementations, i.e. using $P_{\mathrm{cdm}}(k)$ instead of $P_{\mathrm{m}}(k)$, are more pronounced for large values of the neutrino masses and in the high end of the halo mass function: in particular, the number of massive haloes is higher when $P_{\mathrm{cdm}}(k)$ is considered rather than $P_{\mathrm{m}}(k)$. As a quantitative application of our findings we consider a Planck-like SZ-clusters survey and show that the differences in predicted number counts can be as large as $30\%$ for $\sum m_{\nu }=0.4$ eV. Finally, we use the Planck-SZ clusters sample, with an approximate likelihood calculation, to derive Planck-like constraints on cosmological parameters. We find that, in a massive neutrino cosmology, our correction to the halo mass function produces a shift in the ${\sigma }_8({\Omega }_{\mathrm{m}}/0.27{)}^{\gamma }$ relation which can be quantified as $\Delta \gamma \sim 0.05$ and $\Delta \gamma \sim 0.14$ assuming one ($N_{\nu }=1$) or three ($N_{\nu }=3$) degenerate massive neutrino, respectively. The shift results in a lower mean value of ${\sigma }_8$ with $\Delta {\sigma }_8=0.01$ for $N_{\nu }=1$ and $\Delta {\sigma }_8=0.02$ for $N_{\nu }=3$, respectively. Such difference, in a cosmology with massive neutrinos, would increase the tension between cluster abundance and Planck CMB measurements.

20 pages, 5 figures

References in corpus (7)

• Massive neutrinos and cosmology
• Cosmological parameters from combining the Lyman-alpha forest with CMB, galaxy clustering and SN constraints
• Global status of neutrino oscillation parameters after Neutrino-2012
• The halo mass function from the dark ages through the present day
• The Effect of Thermal Neutrino Motion on the Non-linear Cosmological Matter Power Spectrum
• Cosmology with the largest galaxy cluster surveys: Going beyond Fisher matrix forecasts
• Cluster Cosmology at a Crossroads: Neutrino Masses

Cited by in corpus (104)

• Cosmology and Fundamental Physics with the Euclid Satellite
• Large-Scale Galaxy Bias
• Unveiling $\nu$ secrets with cosmological data: neutrino masses and mass hierarchy
• Fundamental Physics with the Square Kilometre Array
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Cluster Abundances and Weak Lensing
• Cosmological Constraints from Galaxy Clusters in the 2500 square-degree SPT-SZ Survey
• Non-linear perturbation theory extension of the Boltzmann code CLASS
• Next Generation Cosmology: Constraints from the Euclid Galaxy Cluster Survey
• DEMNUni: The clustering of large-scale structures in the presence of massive neutrinos
• Neutrino Mass Ordering from Oscillations and Beyond: 2018 Status and Future Prospects
• Cosmological Parameters and Neutrino Masses from the Final Planck and Full-Shape BOSS Data
• General relativity and cosmic structure formation
• Cosmology with massive neutrinos I: towards a realistic modeling of the relation between matter, haloes and galaxies
• Dark Energy Survey Year 1 Results: Methods for Cluster Cosmology and Application to the SDSS
• Voids in massive neutrino cosmologies
• Cosmic Degeneracies I: Joint N-body Simulations of Modified Gravity and Massive Neutrinos
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Signs of neutrino mass in current cosmological datasets
• Measuring neutrino masses with large-scale structure: Euclid forecast with controlled theoretical error
• Simulating nonlinear cosmological structure formation with massive neutrinos
• The promising future of a robust cosmological neutrino mass measurement
• The SRG/eROSITA all-sky survey: Cosmology constraints from cluster abundances in the western Galactic hemisphere
• Cosmological Constraints from DES Y1 Cluster Abundances and SPT Multi-wavelength data
• Scale-dependent galaxy bias, CMB lensing-galaxy cross-correlation, and neutrino masses
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Cluster Abundances, Weak Lensing, and Galaxy Correlations
• Dark Energy from the Thermal Sunyaev Zeldovich Power Spectrum
• Halo bias in mixed dark matter cosmologies
• AMICO galaxy clusters in KiDS-DR3: sample properties and selection function
• Detecting Neutrino Mass by Combining Matter Clustering, Halos, and Voids
• Structure formation with massive neutrinos: going beyond linear theory
• unWISE tomography of Planck CMB lensing
• Bias due to neutrinos must not uncorrect'd go
• Weighing neutrinos with cosmic neutral hydrogen
• An Efficient and Accurate Hybrid Method for Simulating Non-Linear Neutrino Structure
• The halo model in a massive neutrino cosmology
• Spherical collapse in $\nu \Lambda CDM$
• Scale-dependent bias and bispectrum in neutrino separate universe simulations
• DEMNUni: Massive neutrinos and the bispectrum of large scale structures
• Fundamental Physics from Future Weak-Lensing Calibrated Sunyaev-Zel'dovich Galaxy Cluster Counts
• The Cosmic Thermal History Probed by Sunyaev-Zeldovich Effect Tomography
• Intensity Mapping as a Probe of Axion Dark Matter
• Cosmological direct detection of dark energy: non-linear structure formation signatures of dark energy scattering with visible matter
• Reducing Noise in Cosmological N-body Simulations with Neutrinos
• COLA with massive neutrinos
• First detection of scale-dependent linear halo bias in $N$-body simulations with massive neutrinos
• Neutrino constraints: what large-scale structure and CMB data are telling us?
• Non-local halo bias with and without massive neutrinos
• Joint halo mass function for modified gravity and massive neutrinos I: simulations and cosmological forecasts
• On the road to percent accuracy V: the non-linear power spectrum beyond $\Lambda$CDM with massive neutrinos and baryonic feedback
• A fast particle-mesh simulation of non-linear cosmological structure formation with massive neutrinos
• The effect of massive neutrinos on the Sunyaev-Zeldovich and X-ray observables of galaxy clusters
• Beware of Fake $\nu$s: The Effect of Massive Neutrinos on the Nonlinear Evolution of Cosmic Structure
• Euclid preparation. Sensitivity to neutrino parameters
• On the road to percent accuracy III: non-linear reaction of the matter power spectrum to massive neutrinos
• DEMNUni: comparing nonlinear power spectra prescriptions in the presence of massive neutrinos and dynamical dark energy
• Cosmological constraints from abundance, weak-lensing and clustering of galaxy clusters: application to the SDSS
• The effects of massive neutrinos on the linear point of the correlation function
• Including massive neutrinos in thermal Sunyaev Zeldovich power spectrum and cluster counts analyses
• Calibrating Cluster Number Counts with CMB lensing
• Euclid: Modelling massive neutrinos in cosmology -- a code comparison
• Improved Mixed Dark Matter Halo Model for Ultralight Axions
• Simulating cosmologies beyond $\Lambda$CDM with PINOCCHIO
• The impact of baryonic physics and massive neutrinos on weak lensing peak statistics
• Cluster counts: calibration issue or new physics?
• New constraints on the mass bias of galaxy clusters from the power spectra of the thermal Sunyaev-Zeldovich effect and cosmic shear
• Accurately Weighing Neutrinos with Cosmological Surveys
• Cosmological Vlasov-Poisson Simulations of Structure Formation with Relic Neutrinos: Nonlinear Clustering and the Neutrino Mass
• Constraining f(R) Gravity with Planck Sunyaev-Zel'dovich Clusters
• Euclid: Effect of sample covariance on the number counts of galaxy clusters
• Neutrino effects on the morphology of cosmic large-scale structure
• Efficient calculation of cosmological neutrino clustering with both linear and non-linear gravity
• On the degeneracy between baryon feedback and massive neutrinos as probed by matter clustering and weak lensing
• A direct and robust method to observationally constrain the halo mass function via the submillimeter magnification bias: Proof of concept
• The SRG/eROSITA All-Sky Survey : Constraints on the structure growth from cluster number counts
• The SRG-eROSITA All-Sky Survey : Constraints on f(R) Gravity from Cluster Abundance
• Relationship between the CMB, SZ Cluster Counts, and Local Hubble Parameter Measurements in a Simple Void Model
• Effects of neutrino mass and asymmetry on cosmological structure formation
• Cluster counts III. $\Lambda$CDM extensions and the cluster tension
• Euclid preparation. Modelling spectroscopic clustering on mildly nonlinear scales in beyond-$\Lambda$CDM models
• Cluster counts. II. Tensions, massive neutrinos, and modified gravity
• Semi-Analytic Galaxy Formation in Massive Neutrino Cosmologies
• Sensitivity tests of cosmic velocity fields to massive neutrinos
• The extended ROSAT-ESO Flux-Limited X-ray Galaxy Cluster Survey (REFLEX II) VI. Effect of massive neutrinos on the cosmological constraints from clusters
• Probing cosmology with weak lensing selected clusters II: Dark energy and f(R) gravity models
• Neutrino winds on the sky
• Daughters mimic sterile neutrinos (almost!) perfectly
• The thermal and gravitational energy densities in the large-scale structure of the Universe
• On constraining Cosmology and the Halo Mass Function with Weak Gravitational Lensing
• Constraints on dark energy from the CSST galaxy clusters
• Constraining the Neutrino Mass with the Drifting Coefficient of the Field Cluster Mass Function
• Quantum algorithm for the Vlasov simulation of the large-scale structure formation with massive neutrinos
• Prospects for disentangling dark matter with weak lensing
• AMICO galaxy clusters in KiDS-1000: cosmological sample
• Symmetries, Invariants and Generating Functions: Higher-order Statistics of Biased Tracers
• VST ATLAS Galaxy Cluster Catalogue I: cluster detection and mass calibration
• Aemulus $\nu$: Precision halo mass functions in w$\nu$CDM cosmologies
• Cosmological Implications of a Neutrino Mass Detection
• The effect of massive neutrinos on the BAO peak
• Cosmological neutrino N-body simulations of dark matter halo
• Constraints on the normal branch of DGP gravity from SPT galaxy clusters with DES and HST weak-lensing mass calibration and from Planck PR4 CMB anisotropies
• Euclid preparation. L. Calibration of the linear halo bias in $\Lambda (\nu )$CDM cosmologies
• Weighing Cosmic Structures with Clusters of Galaxies and the Intergalactic Medium
• DUCA: Dynamic Universe Cosmological Analysis. I. The halo mass function in dynamical dark energy cosmologies
• DUCA: Dynamic Universe Cosmological Analysis. II. The impact of clustering dark energy on the halo mass function
• Impact of the calibration of the Halo Mass Function on galaxy cluster number count cosmology