Satellite Kinematics I: A New Method to Constrain the Halo Mass-Luminosity Relation of Central Galaxies

Abstract

Satellite kinematics can be used to probe the masses of dark matter haloes of central galaxies. In order to measure the kinematics with sufficient signal-to-noise, one uses the satellite galaxies of a large number of central galaxies stacked according to similar properties (e.g., luminosity). However, in general the relation between the luminosity of a central galaxy and the mass of its host halo will have non-zero scatter. Consequently, this stacking results in combining the kinematics of satellite galaxies in haloes of different masses, which complicates the interpretation of the data. In this paper we present an analytical framework to model satellite kinematics, properly accounting for this scatter and for various selection effects. We show that in the presence of scatter in the halo mass-luminosity relation, the commonly used velocity dispersion of satellite galaxies can not be used to infer a unique halo mass-luminosity relation. In particular, we demonstrate that there is a degeneracy between the mean and the scatter of the halo mass-luminosity relation. We present a new technique that can break this degeneracy, and which involves measuring the velocity dispersions using two different weighting schemes: host-weighting (each central galaxy gets the same weight) and satellite-weighting (each central galaxy gets a weight proportional to its number of satellites). The ratio between the velocity dispersions obtained using these two weighting schemes is a strong function of the scatter in the halo mass-luminosity relation, and can thus be used to infer a unique relation between light and mass from the kinematics of satellite galaxies.

arXiv comment8 pages, 3 figures, MNRAS submitted

References in corpus (30)

• The Sloan Digital Sky Survey: Technical Summary
• A Universal Density Profile from Hierarchical Clustering
• The 2dF Galaxy Redshift Survey: Spectra and redshifts
• The Galaxy Luminosity Function and Luminosity Density at Redshift z=0.1
• Galaxy Groups in the SDSS DR4: I. The Catalogue and Basic Properties
• The Dark Side of the Halo Occupation Distribution
• Galaxy halo masses and satellite fractions from galaxy-galaxy lensing in the SDSS: stellar mass, luminosity, morphology, and environment dependencies
• Constraining Galaxy Formation and Cosmology with the Conditional Luminosity Function of Galaxies
• A MaxBCG Catalog of 13,823 Galaxy Clusters from the Sloan Digital Sky Survey
• The Average Mass-to-Light Profile of Galaxy Clusters
• Concentration, Spin and Shape of Dark Matter Haloes: Scatter and the Dependence on Mass and Environment
• Galaxies in N-body simulations: overcoming the overmerging problem
• The Sloan Lens ACS Survey. IV: the mass density profile of early-type galaxies out to 100 effective radii
• Galaxy Cluster Virial Masses and Omega
• Velocity and spatial biases in CDM subhalo distributions
• Galaxy Groups in the SDSS DR4: II. halo occupation statistics
• Towards a Concordant Model of Halo Occupation Statistics
• More Satellites of Spiral Galaxies
• Observing the dark matter density profile of isolated galaxies
• Modeling Galaxy-Mass Correlations in Dissipationless Simulations
• Galaxy Occupation Statistics of Dark Matter Haloes: Observational Results
• Evolution in the Halo Masses of Isolated Galaxies between z~1 and z~0: From DEEP2 to SDSS
• Probing Dark Matter Haloes with Satellite Kinematics
• Dynamical Confirmation of SDSS Weak Lensing Scaling Laws
• The Mean and Scatter of the Velocity Dispersion-Optical Richness Relation for maxBCG Galaxy Clusters
• Measuring the mean and scatter of the X-ray luminosity -- optical richness relation for maxBCG galaxy clusters
• On the Luminosity Dependence of the Galaxy Pairwise Velocity Dispersion
• The clustering of SDSS galaxy groups: mass and color dependence
• Mass-to-Light Ratios of 2dF Galaxies
• Massive Dark Matter Halos around Bright Isolated Galaxies in the 2dFGRS

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• Constraints on the relationship between stellar mass and halo mass at low and high redshift
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• Cosmological Constraints from a Combination of Galaxy Clustering and Lensing -- I. Theoretical Framework
• Dependence of Galaxy Quenching on Halo Mass and Distance from its Centre
• The stellar-to-halo mass relation over the past 12 Gyr
• Galaxy Clustering & Galaxy-Galaxy Lensing: A Promising Union to Constrain Cosmological Parameters
• Reproducing the Stellar Mass/Halo Mass Relation in Simulated LCDM Galaxies: Theory vs Observational Estimates
• Dark matter halo properties of GAMA galaxy groups from 100 square degrees of KiDS weak lensing data
• Cosmological Galaxy Formation Simulations Using SPH
• The Kinematic Connection Between Galaxies and Dark Matter Haloes
• The Weak Lensing Signal and the Clustering of BOSS Galaxies II: Astrophysical and Cosmological Constraints
• Baryonic clues to the puzzling diversity of dwarf galaxy rotation curves
• Cosmological Constraints from a Combination of Galaxy Clustering & Lensing -- II. Fisher Matrix Analysis
• On Combining Galaxy Clustering and Weak Lensing to Unveil Galaxy Biasing via the Halo Model
• Clustering properties of galaxies selected in stellar mass: Breaking down the link between luminous and dark matter in massive galaxies from z=0 to z=2
• Approximate Bayesian Computation in Large Scale Structure: constraining the galaxy-halo connection
• On the intermediate-redshift central stellar mass-halo mass relation, and implications for the evolution of the most massive galaxies since z~1
• A simple model linking galaxy and dark matter evolution
• Euclid. V. The Flagship galaxy mock catalogue: a comprehensive simulation for the Euclid mission
• First Galaxy-Galaxy Lensing Measurement of Satellite Halo Mass in the CFHT Stripe-82 Survey
• Internal kinematics of groups of galaxies in the Sloan Digital Sky Survey data release 7
• Updated Results on the Galaxy-Halo Connection from Satellite Kinematics in SDSS
• Where stars form and live at high redshift: clues from the infrared
• Distribution of satellite galaxies in high redshift groups
• How are galaxies assigned to halos? Searching for assembly bias in the SDSS galaxy clustering
• Brightest galaxies as halo centre tracers in SDSS DR7
• Alignments of Group Galaxies with Neighboring Groups
• BSG alignment of SDSS galaxy groups
• On the evolution of cluster scaling relations
• On the scatter in the relation between stellar mass and halo mass: random or halo formation time dependent?
• Magnitude Gap Statistics and the Conditional Luminosity Function
• Evolution of the luminosity-to-halo mass relation of LRGs from a combined SDSS-DR10+RCS2 analysis
• Fast generation of mock galaxy catalogues in modified gravity models with COLA
• Maturing Satellite Kinematics into a Competitive Probe of the Galaxy-Halo Connection
• BASILISK: Bayesian Hierarchical Inference of the Galaxy-Halo Connection using Satellite Kinematics--I. Method and Validation
• The XMM Cluster Survey: The Halo Occupation Number of BOSS galaxies in X-ray clusters
• Measuring the mass and concentration of dark matter halos from the velocity dispersion profile of their stars
• Stacked phase-space density of galaxies around massive clusters: Comparison of dynamical and lensing masses
• BASILISK II. Improved Constraints on the Galaxy-Halo Connection from Satellite Kinematics in SDSS
• The Jet Paths of Radio AGN and their Cluster Weather
• Measuring Mass of Gas in Central Galaxies using weak lensing and satellite kinematics in MOND
• Gravitational potential drives the concentration dependence of the stellar mass-halo mass relation