The VIMOS Public Extragalactic Redshift Survey (VIPERS). Hierarchical scaling and biasing

Abstract

We investigate the higher-order correlation properties of the VIMOS Public Extragalactic Redshift Survey (VIPERS) to test the hierarchical scaling hypothesis at z~1 and the dependence on galaxy luminosity, stellar mass, and redshift. We also aim to assess deviations from the linearity of galaxy bias independently from a previously performed analysis of our survey (Di Porto et al. 2014). We have measured the count probability distribution function in cells of radii 3 < R < 10 Mpc/h, deriving ${\sigma }_{8g}$, the volume-averaged two-,three-,and four-point correlation functions and the normalized skewness $S_{3g}$ and kurtosis $S_{4g}$ for volume-limited subsamples covering the ranges $-19.5\le M_B(z=1.1)-5log(h)\le -21.0$, $9.0<log(M\ast /M_{\odot }{h}^{-2})\le 11.0$, $0.5\le z<1.1$. We have thus performed the first measurement of high-order correlations at z~1 in a spectroscopic redshift survey. Our main results are the following. 1) The hierarchical scaling holds throughout the whole range of scale and z. 2) We do not find a significant dependence of $S_{3g}$ on luminosity (below z=0.9 $S_{3g}$ decreases with luminosity but only at 1σ-level). 3) We do not detect a significant dependence of $S_{3g}$ and $S_{4g}$ on scale, except beyond z~0.9, where the dependence can be explained as a consequence of sample variance. 4) We do not detect an evolution of $S_{3g}$ and $S_{4g}$ with z. 5) The linear bias factor $b={\sigma }_{8g}/{\sigma }_{8m}$ increases with z, in agreement with previous results. 6) We quantify deviations from the linear bias by means of the Taylor expansion parameter $b_2$. Our results are compatible with a null non-linear bias term, but taking into account other available data we argue that there is evidence for a small non-linear bias term.

arXiv comment20 pages, 14 figures, accepted for publication in Astronomy and Astrophysics

References in corpus (60)

• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Galactic star formation and accretion histories from matching galaxies to dark matter haloes
• Halo concentrations in the standard LCDM cosmology
• The 2dF Galaxy Redshift Survey: The bias of galaxies and the density of the Universe
• zCOSMOS - 10k-bright spectroscopic sample. The bimodality in the Galaxy Stellar Mass Function: exploring its evolution with redshift
• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• Biasing and Hierarchical Statistics in Large-scale Structure
• Stochastic Nonlinear Galaxy Biasing
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). An unprecedented view of galaxies and large-scale structure at 0.5<z<1.2
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Galaxy clustering and redshift-space distortions at z=0.8 in the first data release
• The VIMOS-VLT Deep Survey: Evolution of the galaxy luminosity function up to z=2 in first epoch data
• The VIMOS Public Extragalactic Survey (VIPERS): First Data Release of 57 204 spectroscopic measurements
• Search for TeV Gamma-ray Emission from GRB 100621A, an extremely bright GRB in X-rays, with H.E.S.S
• The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
• Tracking the impact of environment on the Galaxy Stellar Mass Function up to z~1 in the 10k zCOSMOS sample
• Skewness and Kurtosis in Large-Scale Cosmic Fields
• Skewness Induced by Gravity
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). A precise measurement of the galaxy stellar mass function and the abundance of massive galaxies at redshifts 0.5<z<1.3
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Luminosity and stellar mass dependence of galaxy clustering at 0.5<z<1.1
• Statistical Analysis of Galaxy Surveys-II. The 3-point galaxy correlation function measured from the 2dFGRS
• The zCOSMOS Survey. The dependence of clustering on luminosity and stellar mass at z=0.2-1
• Biasing in the Galaxy Distribution
• Moments of the Counts Distribution in the 1.2 Jy IRAS Redshift Survey
• The VIMOS VLT Deep Survey: Evolution of the non-linear galaxy bias up to z=1.5
• The zCOSMOS survey: the role of the environment in the evolution of the luminosity function of different galaxy types
• Time Evolution of Galaxy Formation and Bias in Cosmological Simulations
• The 2dF Galaxy Redshift Survey: higher order galaxy correlation functions
• The 2dF Galaxy Redshift Survey: voids and hierarchical scaling models
• Cosmological Perturbation Theory and the Spherical Collapse Model - I. Gaussian Initial Conditions
• Biased-estimations of the Variance and Skewness
• The 2dF Galaxy Redshift Survey: Hierarchical galaxy clustering
• Precision Cosmology from the Lyman-alpha Forest: Power Spectrum and Bispectrum
• Modeling the three-point correlation function
• The Monopole Moment of the Three-Point Correlation Function of the 2-degree Field Galaxy Redshift Survey
• On the incompleteness of the moment and correlation function hierarchy as probes of the lognormal field
• Reconstructing the distribution of haloes and mock galaxies below the resolution limit in cosmological simulations
• Hierarchical clustering in chameleon $f(R)$ gravity
• The bispectrum of the Lyman-alpha forest at z~2-2.4 from a Large sample of UVES QSO Absorption Spectra (LUQAS)
• Skewness as a probe of non-Gaussian initial conditions
• Easylife: the data reduction and survey handling system for VIPERS
• Experimental Cosmic Statistics I: Variance
• Cosmological Perturbation Theory and the Spherical Collapse Model - II. Non-Gaussian initial conditions
• Statistical analysis of galaxy surveys - III: The non-linear clustering of red and blue galaxies in the 2dFGRS
• The VIMOS Public Extragalactic Redshift Survey (VIPERS): ${\Omega }_{{\mathrm{m}}_0}$ from the galaxy clustering ratio measured at $z\sim 1$
• Galaxy Clustering and Dark Energy
• The VIMOS Public Extragalactic Redshift Survey - Searching for Cosmic Voids
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Never mind the gaps: comparing techniques to restore homogeneous sky coverage
• Precision Measurements of Higher-Order Angular Galaxy Correlations Using 11 Million SDSS Galaxies
• Hierarchy of N-point functions in the LCDM and ReBEL cosmologies
• Disentangling interacting dark energy cosmologies with the three-point correlation function
• Comparison of the VIMOS-VLT Deep Survey with the Munich semi-analytical model - I. Magnitude counts, redshift distribution, colour bimodality, and galaxy clustering
• Evolution of hierarchical clustering in the CFHTLS-Wide since z~1
• The nonlinear biasing of the 10k zCOSMOS galaxies up to z~1
• Higher Order Clustering in the Durham/UKST and Stromlo-APM Galaxy Redshift Surveys
• The VIMOS VLT Deep Survey: Testing the gravitational instability paradigm at z ~ 1
• Constraining Primordial Non-Gaussianity with Moments of the Large Scale Density Field
• Determination of the abundance of cosmic matter via the cell count moments of the galaxy distribution (1)
• Comparison of the VIMOS-VLT Deep Survey with the Munich semi-analytical model. II. The colour-density relation up to z=1.5
• High-Order Correlations of Rich Galaxy Clusters

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