Measuring the Nonlinear Biasing Function from a Galaxy Redshift Survey

Abstract

We present a simple method for evaluating the nonlinear biasing function of galaxies from a redshift survey. The nonlinear biasing is characterized by the conditional mean of the galaxy density fluctuation given the underlying mass density fluctuation, or by the associated parameters of mean biasing and nonlinearity (following Dekel & Lahav 1999). Using the distribution of galaxies in cosmological simulations, at smoothing of a few Mpc, we find that the mean biasing can be recovered to a good accuracy from the cumulative distribution functions (CDFs) of galaxies and mass, despite the biasing scatter. Then, using a suite of simulations of different cosmological models, we demonstrate that the matter CDF is robust compared to the difference between it and the galaxy CDF, and can be approximated for our purpose by a cumulative log-normal distribution of 1+δwith a single parameter σ. Finally, we show how the nonlinear biasing function can be obtained with adequate accuracy directly from the observed galaxy CDF in redshift space. Thus, the biasing function can be obtained from counts in cells once the rms mass fluctuation at the appropriate scale is assumed a priori. The relative biasing function between different galaxy types is measurable in a similar way. The main source of error is sparse sampling, which requires that the mean galaxy separation be smaller than the smoothing scale. Once applied to redshift surveys such as PSCz, 2dF, SDSS, or DEEP, the biasing function can provide valuable constraints on galaxy formation and structure evolution.

23 pages, 7 figures, revised version, accepted for publication in ApJ

References in corpus (4)

• The Cosmic Triangle: Revealing the State of the Universe
• Large-Scale Power Spectrum and Cosmological Parameters from SFI Peculiar Velocities
• Cosmological parameters from cluster abundances, CMB and IRAS
• Mapping the CMB Sky: The BOOMERANG experiment

Cited by in corpus (38)

• Cosmology and Fundamental Physics with the Euclid Satellite
• Cosmology and fundamental physics with the Euclid satellite
• Local Gravity versus Local Velocity: Solutions for $\beta$ and nonlinear bias
• The density field of the 10k zCOSMOS galaxies
• Fisher for complements: Extracting cosmology and neutrino mass from the counts-in-cells PDF
• The VIMOS VLT Deep Survey: Evolution of the non-linear galaxy bias up to z=1.5
• SPACE: the SPectroscopic All-sky Cosmic Explorer
• Constraining the halo bispectrum in real and redshift space from perturbation theory and non-linear stochastic bias
• On Combining Galaxy Clustering and Weak Lensing to Unveil Galaxy Biasing via the Halo Model
• Growth factor and galaxy bias from future redshift surveys: a study on parametrizations
• Multiscale Inference of Matter Fields and Baryon Acoustic Oscillations from the Ly-alpha Forest
• Simulations of Deep Pencil-Beam Redshift Surveys
• Missing baryons traced by the galaxy luminosity density in the large-scale WHIM filaments
• GaBoDS: The Garching-Bonn Deep Survey: VII. Probing galaxy bias using weak gravitational lensing
• BAM: Bias Assignment Method to generate mock catalogs
• Comparing the SFI Peculiar Velocities with the PSCz Gravity Field: a VELMOD analysis
• On Recovering the Nonlinear Bias Function from Counts in Cells Measurements
• The best fit for the observed galaxy Counts-in-Cell distribution function
• The VIMOS Public Extragalactic Redshift Survey (VIPERS): ${\Omega }_{{\mathrm{m}}_0}$ from the galaxy clustering ratio measured at $z\sim 1$
• Tracing the Warm Hot Intergalactic Medium in the local Universe
• Understanding the shape of the galaxy two-point correlation function at z~1 in the COSMOS field
• A new method to measure galaxy bias
• A question of separation: disentangling tracer bias and gravitational nonlinearity with counts-in-cells statistics
• Cylinders out of a top hat: counts-in-cells for projected densities
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Measuring nonlinear galaxy bias at z~0.8
• The nonlinear biasing of the 10k zCOSMOS galaxies up to z~1
• One simulation to have them all: performance of the Bias Assignment Method against N-body simulations
• Luminosity bias: from haloes to galaxies
• The Probability Distribution Function of Light in the Universe: Results from Hydrodynamic Simulations
• The spatial distribution of X-ray selected AGN in the Chandra deep fields: a theoretical perspective
• The VIMOS VLT Deep Survey: Testing the gravitational instability paradigm at z ~ 1
• Time evolution of the stochastic linear bias of interacting galaxies on linear scales
• Extreme Spheres: Counts-in-cells for 21cm intensity mapping
• The 1-point PDF of the Initial Conditions of our Local Universe from the IRAS PSC redshift catalogue
• Joint constraints on galaxy bias and ${\sigma }_8$ through the N-pdf of the galaxy number density
• Overconstrained dynamics in galaxy redshift surveys
• Delensing for Precision Cosmology: Optimizing Future CMB B-mode Surveys to Constrain r
• Recent Advances in Large-Scale Structure and Galaxy Formation Studies