Predicting the Scaling Relations between the Dark Matter Halo Mass and Observables from Generalised Profiles II: Intracluster Gas Emission

Abstract

We investigate the connection between a cluster's structural configuration and observable measures of its gas emission that can be obtained in X-ray and Sunyaev-Zeldovich (SZ) surveys. We present an analytic model for the intracluster gas density profile: parameterised by the dark matter halo's inner logarithmic density slope, $\alpha$, the concentration, $c$, the gas profile's inner logarithmic density slope, $\epsilon$, the dilution, $d$, and the gas fraction, $\eta$, normalised to cosmological content. We predict four probes of the gas emission: the emission-weighted, $T_{\mathrm{X}}$, and mean gas mass-weighted, $T_{{\mathrm{m}}_{\mathrm{g}}}$, temperatures, and the spherically, $Y_{\mathrm{sph}}$, and cylindrically, $Y_{\mathrm{cyl}}$, integrated Compton parameters. Over a parameter space of clusters, we constrain the X-ray temperature scaling relations, $M_{200}-T_{\mathrm{X}}$ and $M_{500}-T_{\mathrm{X}}$, within $57.3\%$ and $41.6\%$, and $M_{200}-T_{{\mathrm{m}}_{\mathrm{g}}}$ and $M_{500}-T_{{\mathrm{m}}_{\mathrm{g}}}$, within $25.7\%$ and $7.0\%$, all respectively. When excising the cluster's core, the $M_{200}-T_{\mathrm{X}}$ and $M_{500}-T_{\mathrm{X}}$ relations are further constrained, to within $31.3\%$ and $17.1\%$, respectively. Similarly, we constrain the SZ scaling relations, $M_{200}-Y_{\mathrm{sph}}$ and $M_{500}-Y_{\mathrm{sph}}$, within $31.1\%$ and $17.7\%$, and $M_{200}-Y_{\mathrm{cyl}}$ and $M_{500}-Y_{\mathrm{cyl}}$, within $25.2\%$ and $22.0\%$, all respectively. The temperature observable $T_{{\mathrm{m}}_{\mathrm{g}}}$ places the strongest constraint on the halo mass, whilst $T_{\mathrm{X}}$ is more sensitive to the parameter space. The SZ constraints are sensitive to the gas fraction, whilst insensitive to the form of the gas profile itself. In all cases, the halo mass is recovered with an uncertainty that suggests the cluster's structural profiles only contribute a minor uncertainty in its scaling relations.

arXiv commentThis paper has been accepted for publication with PASA

References in corpus (51)

• A Universal Density Profile from Hierarchical Clustering
• The Structure of Cold Dark Matter Halos
• Profiles of dark haloes: evolution, scatter, and environment
• Chandra sample of nearby relaxed galaxy clusters: mass, gas fraction, and mass-temperature relation
• Simulations of X-ray Clusters
• The universal galaxy cluster pressure profile from a representative sample of nearby systems (REXCESS) and the Y_SZ-M_500 relation
• Dark matter halo concentrations in the Wilkinson Microwave Anisotropy Probe year 5 cosmology
• How supernova feedback turns dark matter cusps into cores
• Chandra Cluster Cosmology Project II: Samples and X-ray Data Reduction
• The Structure of Dark Matter Haloes in Hierarchical Clustering Models
• Mass Density Profiles of LSB Galaxies
• The Santa Barbara cluster comparison project: a comparison of cosmological hydrodynamics solutions
• The dependence of dark matter profiles on the stellar to halo mass ratio: a prediction for cusps vs cores
• The dark and baryonic matter content of low surface brightness disk galaxies
• The structural and scaling properties of nearby galaxy clusters - II. The M-T relation
• Mass Models for Low Surface Brightness Galaxies with High Resolution Optical Velocity Fields
• A mass-dependent density profile for dark matter haloes including the influence of galaxy formation
• The central slope of dark matter cores in dwarf galaxies: Simulations vs. THINGS
• The Mass-Concentration-Redshift Relation of Cold Dark Matter Halos
• The accretion history of dark matter halos III: A physical model for the concentration-mass relation
• Universal gas density and temperature profile
• The cluster gas mass fraction as a cosmological probe: a revised study
• Universal thermodynamic properties of the intracluster medium over two decades in radius in the X-COP sample
• Galaxy-cluster gas-density distributions of the Representative XMM-Newton Cluster Structure Survey (REXCESS)
• Non-thermal pressure support in X-COP galaxy clusters
• The mass of a halo
• Hydrodynamic Simulation of Non-thermal Pressure Profiles of Galaxy Clusters
• The Remarkable Similarity of Massive Galaxy Clusters From z~0 to z~1.9
• The halo merger rate in the Millennium Simulation and implications for observed galaxy merger fractions
• Mismatch between X-ray and emission-weighted temperatures in galaxy clusters: cosmological implications
• Mass Accretion and its Effects on the Self-Similarity of Gas Profiles in the Outskirts of Galaxy Clusters
• The Dynamical State and Mass-Concentration Relation of Galaxy Clusters
• Exploring the Energetics of Intracluster Gas with a Simple and Accurate Model
• Turbulent pressure support and hydrostatic mass-bias in the intracluster medium
• The Blanco Cosmology Survey: An Optically-Selected Galaxy Cluster Catalog and a Public Release of Optical Data Products
• The X-ray/SZ view of the virial region. II. Gas mass fraction
• Galaxy Cluster Scaling Relations between Bolocam Sunyaev-Zel'dovich Effect and Chandra X-ray Measurements
• The physics inside the scaling relations for X-ray galaxy clusters: gas clumpiness, gas mass fraction and slope of the pressure profile
• What sets the central structure of dark matter haloes?
• Cosmological SPH simulations with four million particles: statistical properties of X-ray clusters in a low-density universe
• The galaxy cluster outskirts probed by Chandra
• Tracing the non-thermal pressure and hydrostatic bias in galaxy clusters
• Baryon Pasting Algorithm: Halo-based and Particle-based Pasting Methods
• The Lack of Non-Thermal Motions in Galaxy Cluster Cores
• The polytropic state of the intracluster medium in the X-COP cluster sample
• X-ray surface brightness and gas density profiles of galaxy clusters up to 3*R500c with SRG/eROSITA
• A Simple Physical Model for the Gas Distribution in Galaxy Clusters
• A parametric physical model for the intracluster medium and its use in joint SZ/X-ray analyses of galaxy clusters
• Galaxy cluster mass accretion rates from IllustrisTNG
• $i(cm)z$, a semi-analytic model for the thermodynamic properties in galaxy clusters: calibrations with mass and redshift, and implication for the hydrostatic bias
• The Halo Mass-Temperature Relation for Clusters, Groups, and Galaxies

Cited by in corpus (1)

• Predicting the Non-Thermal Pressure in Galaxy Clusters