Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS

Abstract

We introduce a method to constrain general cosmological models using Baryon Acoustic Oscillation (BAO) distance measurements from galaxy samples covering different redshift ranges, and apply this method to analyse samples drawn from the SDSS and 2dFGRS. BAO are detected in the clustering of the combined 2dFGRS and SDSS main galaxy samples, and measure the distance--redshift relation at z=0.2. BAO in the clustering of the SDSS luminous red galaxies measure the distance--redshift relation at z=0.35. The observed scale of the BAO calculated from these samples and from the combined sample are jointly analysed using estimates of the correlated errors, to constrain the form of the distance measure D_V(z)=[(1+z)^2D_A^2cz/H(z)]^(1/3). Here D_A is the angular diameter distance, and H(z) is the Hubble parameter. This gives r_s/D_V(0.2)=0.1980+/-0.0058 and r_s/D_V(0.35)=0.1094+/-0.0033 (1sigma errors), with correlation coefficient of 0.39, where r_s is the comoving sound horizon scale at recombination. Matching the BAO to have the same measured scale at all redshifts then gives D_V(0.35)/D_V(0.2)=1.812+/-0.060. The recovered ratio is roughly consistent with that predicted by the higher redshift SNLS supernovae data for Lambda cosmologies, but does require slightly stronger cosmological acceleration at low redshift. If we force the cosmological model to be flat with constant w, then we find Om_m=0.249+/-0.018 and w=-1.004+/-0.089 after combining with the SNLS data, and including the WMAP measurement of the apparent acoustic horizon angle in the CMB.

14 pages, 13 figures, MNRAS accepted

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• Formulation and constraints on decaying dark matter with finite mass daughter particles
• Cosmic age test in inhomogeneous cosmological models mimicking $\Lambda$CDM on the light cone
• Cosmological data analysis of f(R) gravity models
• Weak lensing and dark energy: the impact of dark energy on nonlinear dark matter clustering
• Non-linear weak lensing forecasts
• Cosmological constraints on dark energy models using DESI BAO 2024
• The WiggleZ Dark Energy Survey: small-scale clustering of Lyman Break Galaxies at z < 1
• Quasinormal modes of a black hole with quintessence-like matter and a deficit solid angle: scalar and gravitational perturbations
• Observational Constraints on Dynamical Dark Energy Models
• The first Hubble diagram and cosmological constraints using superluminous supernova
• The dynamical viability of scalar-tensor gravity theories
• Galaxy cluster angular size data constraints on dark energy
• The Equation of State of Tracker Fields
• Comparing the scalar-field dark energy models with recent observations
• Cosmological dependence of the measurements of luminosity function, projected clustering and galaxy-galaxy lensing signal
• Single-Field Inflation After WMAP5
• Convolution Lagrangian perturbation theory for biased tracers beyond general relativity
• Optimizing baryon acoustic oscillation surveys II: curvature, redshifts, and external datasets
• Cosmological implications from the full shape of the large-scale power spectrum of the SDSS DR7 luminous red galaxies
• Large-scale analysis of the SDSS-III DR8 photometric luminous galaxies angular correlation function
• Gaussianisation for fast and accurate inference from cosmological data
• Bayesian Model Averaging in Astrophysics: A Review
• Delayed Recombination and Cosmic Parameters
• Increasing the Fisher Information Content in the Matter Power Spectrum by Non-linear Wavelet Weiner Filtering
• A conventional approach to the dark-energy concept
• A Robust Distance Measurement and Dark Energy Constraints from the Spherically-Averaged Correlation Function of Sloan Digital Sky Survey Luminous Red Galaxies
• Disentangling interacting dark energy cosmologies with the three-point correlation function
• Constraints on CDM cosmology from galaxy power spectrum, CMB and SNIa evolution
• A new model for the full shape of the large-scale power spectrum
• Dynamical system analysis for DBI dark energy interacting with dark matter
• Cosmological dark energy effects from entanglement
• Kinematic Constraints on Spatial Curvature from Supernovae Ia and Cosmic Chronometers
• Gaugessence: a dark energy model with early time radiation-like equation of state
• A detection of baryon acoustic oscillations from the distribution of galaxy clusters
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Measuring nonlinear galaxy bias at z~0.8
• Effects of Linear Redshift Space Distortions and Perturbation Theory on BAOs: A 3D Spherical Analysis
• Anisotropic solid dark energy
• DBI models for the unification of dark matter and dark energy
• Unparticle dark energy
• Consistency of LCDM with Geometric and Dynamical Probes
• Topology of large scale structure as test of modified gravity
• Is the Cosmic Transparency Spatially Homogeneous?
• Precise Measurement of the Radial Baryon Acoustic Oscillation Scales in Galaxy Redshift Surveys
• Non-Gaussian Error in Galaxy Survey (Part 1)
• Clustering dark energy imprints on cosmological observables of the gravitational field
• Vacuum energy as dark matter
• A dynamical system representation of generalized Rastall gravity
• Reconstructing f(R) Gravity from a Chaplygin Scalar Field in de Sitter Spacetimes
• C${}^3$-Cluster Clustering Cosmology II. First detection of the BAO peak in the three-point correlation function of galaxy clusters
• Luminosity bias: from haloes to galaxies
• Consistency Test of Dark Energy Models
• Anisotropic $k$-essence
• Inflationary susceptibilities, duality and large-scale magnetic fields generation
• Does accelerating universe indicates Brans-Dicke theory
• Testing the local void hypothesis using baryon acoustic oscillation measurements over the last twenty years
• Mock galaxy redshift catalogues from simulations: implications for Pan-STARRS1
• Elementary Theorems Regarding Blue Isocurvature Perturbations
• Testing dark energy using pairs of galaxies in redshift space
• Testing $f(R)$ Gravity With Scale Dependent Cosmic Void Velocity Profiles
• Effects of biasing on the galaxy power spectrum at large scales
• Dynamics of Dirac-Born-Infeld dark energy interacting with dark matter
• Primordial power spectrum and cosmology from black-box galaxy surveys
• Dark Matter: The evidence from astronomy, astrophysics and cosmology
• Fermionic Isocurvature Perturbations
• Constraints on dark energy models from radial baryon acoustic scale measurements
• A brief review on cosmological analysis of galaxy surveys with multiple tracers
• Cosmological constraints on the generalized holographic dark energy
• On the consistency of tachyon warm inflation with viscous pressure
• Crossing the cosmological constant line in a dilatonic brane-world model with and without curvature corrections
• Effect of model-dependent covariance matrix for studying Baryon Acoustic Oscillations
• Constraining dark energy via baryon acoustic oscillations in the (an)isotropic light-cone power spectrum
• Constraining Thawing Quintessence
• Wavelet analysis of baryon acoustic structures in the galaxy distribution
• Observational constraints on dark energy cosmological model parameters
• CSST large-scale structure analysis pipeline: I. constructing reference mock galaxy redshift surveys
• Probing Dark Energy Inhomogeneities with Supernovae
• Detecting Baryon Acoustic Oscillations
• Lyman alpha absorbers in motion: consequences of gravitational lensing for the cosmological redshift drift experiment
• Cubic Derivative Interactions and Asymptotic Dynamics of the Galileon Vacuum
• The D-material universe
• Constraints on $f(R)$ and nDGP Modified Gravity Model Parameters with Cluster Abundances and Galaxy Clustering
• The redshift-space galaxy two-point correlation function and baryon acoustic oscillations
• Constraints on dark energy from baryon acoustic peak and galaxy cluster gas mass measurements
• Distance Probes of Dark Energy
• Observational tests of a two parameter power-law class modified gravity in Palatini formalism
• The Age-Redshift Relationship of Old Passive Galaxies
• The Reactor Anomaly after Daya Bay and RENO
• Delayed Recombination and Standard Rulers
• Is there a standard measuring rod in the Universe?
• Anisotropy in the matter distribution beyond the baryonic acoustic oscillation scale
• Parameter Estimation with BEAMS in the presence of biases and correlations
• The impact and mitigation of broad absorption line quasars in Lyman$-\alpha$ forest correlations
• Dynamics of interacting scalar field model in the realm of chiral cosmology
• What kind of science is cosmology?
• Dark energy, integrated Sachs-Wolfe effect and large-scale magnetic fields
• Probing the course of cosmic expansion with a combination of observational data
• Implications of Two Type Ia Supernova Populations for Cosmological Measurements
• Probing violation of the Copernican principle via the integrated Sachs-Wolfe effect
• Testing cosmic opacity with the combination of strongly lensed and unlensed supernova Ia
• The dark side of curvature
• ISW-Galaxy Cross Correlation:A probe of Dark Energy clustering and distribution of Dark Matter tracers
• Cosmological constraints on time-varying cosmological terms: A study of FLRW universe models with $\Lambda (t)$CDM cosmology
• A Dynamical System Analysis of Holographic Dark Energy Models with Different IR Cutoff
• Supernova, baryon acoustic oscillations, and CMB surface distance constraints on f(G) higher order gravity models
• Effects of NII and H$\alpha$ Line Blending on the WFIRST Galaxy Redshift Survey
• Constraining dark energy using the cross correlations of weak lensing with post-reionization probes of neutral hydrogen
• Exploring cosmological evolution and constraints in $f(T)$ teleparallel gravity
• A new approach to cosmological perturbations in f(R) models
• Parametrizing the transition to the phantom epoch with Supernovae Ia and Standard Rulers
• Baryon oscillations in galaxy and matter power-spectrum covariance matrices
• Squared torsion $f(T,\mathcal{T})$ gravity and its cosmological implications
• Large Blue Spectral Isocurvature Spectral Index Signals Time-Dependent Mass
• Rényi Holographic Dark Energy
• Constraints on the Phase Plane of the Dark Energy Equation of State
• Parametrization for the Scale Dependent Growth in Modified Gravity
• Formation of the large-scale structure of the Universe
• Quasiattractor in models of new and chaotic inflation
• Dark Energy Survey: Galaxy Sample for the Baryonic Acoustic Oscillation Measurement from the Final Dataset
• Anisotropic Extinction Distortion of the Galaxy Correlation Function
• Future evolution in a backreaction model and the analogous scalar field cosmology
• Constraints on the Transition Redshift using Hubble Phase Space Portrait
• A PAge-like Unified Dark Fluid Model
• Observational Constraints on Axions as Quintessence in String Theory
• Detecting baryon acoustic oscillations by 3d weak lensing
• Post-reionization HI 21-cm signal: A probe of negative cosmological constant
• Slow-roll inflation in $f(T,\mathcal{T})$ modified gravity
• Bulk viscous matter in $f(T)$ gravity: A path to cosmic acceleration
• Fast, large volume, GPU enabled simulations for the Ly-alpha forest: power spectrum forecasts for baryon acoustic oscillation experiments
• Curvature dark energy reconstruction through different cosmographic distance definitions
• Current cosmological constraints on the curvature, dark energy and modified gravity
• The DESI One-Percent Survey: Modelling the clustering and halo occupation of all four DESI tracers with Uchuu
• Signature flips in time-varying $\Lambda (t)$ cosmological models with observational data
• Using the Mark Weighted Correlation Functions to Improve the Constraints on Cosmological Parameters
• Cosmological constraints on dark energy
• Beyond Einstein's General Relativity
• Fitting cosmological data to the function $q(z)$ from GR Theory: Modified Chaplygin Gas
• Observational constraints on Chaplygin cosmology in a braneworld scenario with induced gravity and curvature effect
• A thermodynamic point of view on dark energy models
• Holographik, the k-essential approach to interactive models with modified holographic Ricci dark energy
• Cosmology in doubly coupled massive gravity: constraints from SNIa, BAO and CMB
• Damping of the baryon acoustic oscillations in the matter power spectrum as a probe of the growth factor
• Cosmological constraints on unparticle dark matter
• The alignment of galaxies at the Baryon Acoustic Oscillation scale
• Challenges in Constraining Gravity with Cosmic Voids
• Holographic field theory models of dark energy in interaction with dark matter
• Model Selection with Baryonic Acoustic Oscillations in the Lyman-alpha Forest
• Photo-z Quality Cuts and their Effect on the Measured Galaxy Clustering
• Non-Gaussian error bars in galaxy surveys -- II
• Parametrizing growth in dark energy and modified gravity models
• The universe is accelerating. Do we need a new mass scale?
• Dynamical System Analysis of a Dirac-Born-Infeld Model : A Center Manifold Perspective
• Scalar field exact solutions for non-flat FLRW cosmology: A technique from non-linear Schrödinger-type formulation
• The XMM Cluster Survey: The Halo Occupation Number of BOSS galaxies in X-ray clusters
• Higher-order gravity in higher dimensions: Geometrical origins of four-dimensional cosmology?
• Nonlinear Behavior of Baryon Acoustic Oscillations in Redshift Space from the Zel'dovich Approximation
• Interacting parametrized post-Friedmann method
• Einstein Static Universe and its Stability in Generalized Rastall Gravity
• What do we learn from CMB observations
• Coupled scalar field cosmology with effects of curvature
• Bootstrapping from inflationary magnetogenesis to CMB initial conditions
• Reconstructing FHDE with Scalar and Gauge Fields
• Origin of the Chemical Elements
• Modern Cosmology, an Amuse-Gueule
• Inhomogeneous and anisotropic Universe and apparent acceleration
• Primordial density perturbations with running spectral index: impact on non-linear cosmic structures
• Constraining the Lattice Fluid Dark Energy from SNe Ia, BAO and OHD
• A Fast and Accurate Algorithm for Spherical Harmonic Analysis on HEALPix Grids with Applications to the Cosmic Microwave Background Radiation
• Scalar Dark Energy Models and Scalar-Tensor Gravity: Theoretical Explanations for the Accelerated Expansion of Present Universe
• New views on the low-energy side of gravity
• Observational constraint on dynamical evolution of dark energy
• Quasi-periodical features in the distribution of Luminous Red Galaxies
• Improvements in the X-ray luminosity function and constraints on the Cosmological parameters from X-ray luminous clusters
• Forecasting cosmological constraints from age of high-z galaxies
• The Cosmology of Asymmetric Brane Modified Gravity
• Concentrating the Dark Matter in Galaxy Clusters through Tidal Stripping of Baryonically-Compressed Galactic Halos
• Investigating the $w$CDM Model with Latest DESI BAO Observations
• A minimal set of invariants as a systematic approach to higher order gravity models: Physical and Cosmological Constraints
• Baryon acoustic oscillations with the cross-correlation of spectroscopic and photometric samples
• A simple derivation of level spacing of quasinormal frequencies for a black hole with a deficit solid angle and quintessence-like matter
• Revisiting kink-like parametrization and constraints using OHD/Pantheon+/BAO samples
• Time Variable Cosmological Constant from Renormalization Group Equations
• Probing the cosmic acceleration from combinations of different data sets
• Complementarity of Future Dark Energy Probes
• Reconstructing the parameter space of non-analytical cosmological fixed points
• Degradation analysis in the estimation of photometric redshifts from non-representative training sets
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski effect: Fourier space analysis
• Improved Cosmological Parameter Constraints from CMB and H(z) Data
• Impact of the matter density uncertainty on the dark energy reconstruction
• Cosmological Model-independent Gamma-ray Bursts Calibration and its Cosmological Constraint to Dark Energy
• Growth rate of matter perturbations as a probe of large-scale magnetism
• Measurement of the baryonic acoustic oscillation scale in 21 cm intensity fluctuations during the reionisation era
• Dynamical Dark Energy and the Unresolved Hubble Tension: Multi-model Constraints from DESI 2025 and Other Probes
• Probing Quintessence using BAO imprint on the cross-correlation of weak lensing and post-reionization HI 21 cm signal
• Cosmological extrapolation of MOND
• Spectral Distortion in a Radially Inhomogeneous Cosmology
• Phantom expansion with non-linear Schrödinger-type formulation of scalar field cosmology
• 2D BAO vs 3D BAO: Hints for new physics?
• Deep learning for cosmological parameter inference from a dark matter halo density field
• Relaxing cosmological constraints on current neutrino masses
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski effect: Possibility of estimateing the non-linear systematics using fast simulations
• Probing cosmology via the clustering of critical points
• Improving Constraint on ${\Omega }_m$ from SDSS Using Marked Correlation Functions
• The coincidence problem in $f(R)$ gravity models
• Second order invariants and holography
• Optimizing the Recovery of Fisher Information in the Dark Matter Power Spectrum
• Slow-roll, acceleration, the Big Rip and WKB approximation in NLS-type formulation of scalar field cosmology
• Tensor B mode and stochastic Faraday mixing
• Improving SDSS cosmological constraints through $\beta$-skeleton weighted correlation functions
• Large-scale periodicity in the distribution of QSO absorption-line systems
• Variable $G$ and $\Lambda$ gravity theory and analytical Cosmological Solutions using Noether symmetry approach
• Quasi-periodical components in the radial distributions of cosmologically remote objects
• Confronting the damping of the baryon acoustic oscillations with observation
• Observational constraints on a Yang-Mills condensate dark energy model
• kSZ Pairwise Velocity Reconstruction with Machine Learning
• Cosmology with Galaxy Correlations
• An Algorithm to locate the centers of Baryon Acoustic Oscillations
• An overview of the current status of CMB observations
• Tomographic Alcock-Paczynski Method with Redshift Errors
• Photo-z optimization for measurements of the BAO radial direction
• Decoupling of Higgs boson from the inflationary stage of Universe evolution
• Traces of Anisotropic Quasi-Regular Structure in the SDSS Data
• Dark Energy Survey Year 3 Results: Galaxy mock catalogs for BAO analysis
• Higgs mass from cosmological and astrophysical measurements
• Large Scale Cosmological Anomalies and Inhomogeneous Dark Energy
• A class of transient acceleration models consistent with Big Bang Cosmology
• Constraint on the growth factor of the cosmic structure from the damping of the baryon acoustic oscillation signature
• Simulating continuum-based redshift measurement in the \textit{Roman's} High Latitude Spectroscopy Survey
• The Cosmological Effect of CMB/BAO Measurements
• The mass and redshift dependence of halo star clustering
• Dark Energy Survey Year 3 Results: Galaxy Sample for BAO Measurement
• Cluster optical depth and pairwise velocity estimation using machine learning
• A New Wavelet Scattering Transform-Based Statistic for Cosmological Analysis of Large-Scale Structure
• Brans-Dicke-like field for co-varying $G$ and $c$: observational constraints
• A semi-cosmographic approach to study cosmological evolution in phase space
• Using two point correlation functions to understand the assembly histories of Milky Way-like galaxies
• Particle Physics in the Sky and Astrophysics Underground: Connecting the Universe's Largest and Smallest Scales
• Constraining the expansion history of the universe from the red shift evolution of cosmic shear
• Cosmological bootstrap
• Accelerating BAO Scale Fitting Using Taylor Series
• From WMAP to Planck: Exact reconstruction of 4- and 5-dimensional inflationary potential from high precision CMB measurements
• Cosmological constraints from the density gradient weighted correlation function
• Statistical consistency of sign-switching vacuum energy with cosmological observations
• Revisiting the Hubble Tension with DESI DR2 Baryon Acoustic Oscillation Observations and Machine Learning Methods
• Testing the effects from dark radiation
• Exploring the constraints on cosmological models with CosmoEJS
• A cyclic cosmological model based on the f(ρ) modified theory of gravity
• Phase space analysis of Rényi Holographic dark energy model
• Enhancing Cosmological Constraints by Two-dimensional $\beta$-cosmic-web Weighted Angular Correlation Functions
• Tomographic Alcock-Paczynski Test with Marked Correlation Functions
• Energy conditions and entropy density of the universe
• An Overview of CHIME, the Canadian Hydrogen Intensity Mapping Experiment
• Euclid preparation. Full-shape modelling of 2-point and 3-point correlation functions in real space
• Cosmological solutions of Tensor-Vector theories of gravity with varying the space-time-matter coupling constant