Measurements of H(z) and DA(z) from the two-dimensional two-point correlation function of Sloan Digital Sky Survey luminous red galaxies

By C. Chuang, Yun Wang. 2011

133 citations recorded by the source corpus.

We present a method for measuring the Hubble parameter, H(z), and angular diameter distance, DA(z), from the two-dimensional two-point correlation function and validate it using LasDamas mock galaxy catalogues. Applying our method to the sample of luminous red galaxies from the Sloan Digital Sky Survey Data Release 7, we measure and Mpc without assuming a dark energy model or a flat universe. We find that the derived measurements of H(0.35) rs(zd)/c and DA(0.35)/rs(zd) [where rs(zd) is the sound horizon at the drag epoch] are nearly uncorrelated, have tighter constraints and are more robust with respect to possible systematic effects. Our galaxy clustering measurements of (with the correlation coefficient r = 0.0604) can be used to combine with cosmic microwave background and any other cosmological data sets to constrain dark energy. Our results represent the first measurements of H(z) and DA(z) (or H(z) rs(zd)/c and DA(0.35)/rs(zd)) from galaxy clustering data. Our work has significant implications for future surveys in establishing the feasibility of measuring both H(z) and DA(z) from galaxy clustering data.

Subfields: Astronomy and Astrophysics, Instrumentation

View Paper: https://www.semanticscholar.org/paper/47df158142ef053ed65920c3261b030da5286512

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Instrumentation

Citations in the corpus

The Completed SDSS-IV Extended Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations with Lyα Forests (2020, background): “…using discrete tracers such as galaxies (Percival et al. 2007, 2010; Beutler et al. 2011; Blake et al. 2011; Anderson et al. 2012, 2014a, 2014b; Chuang & Wang 2012; Mehta et al. 2012; Padmanabhan et al. 2012; Xu et al. 2013; Ross et al. 2015; Alam et al. 2017; Bautista et al. 2018), galaxy…”
Baryon acoustic oscillations from the complete SDSS-III Ly$\alpha$-quasar cross-correlation function at $z=2.4$ (2017, background): “02 22 5v 3 [ as Beutler et al. 2011; Blake et al. 2011; Padmanabhan et al. 2012; Mehta et al. 2012; Chuang & Wang 2012; Xu et al. 2013; Ross et al. 2015) map distances and expansion rates for z < 0.8.”
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample (2016, background): “…with photometric redshifts (Padmanabhan et al. 2007); analyses of anisotropic BAO signals in SDSS-I/II (Okumura et al. 2008; Gaztañaga et al. 2009; Chuang & Wang 2012; Chuang et al. 2013a; Chuang & Wang 2013b); the first BAO measurements at z > 0.5 from the WiggleZ survey (Blake et al. 2011a); a…”
Baryon Acoustic Oscillations in the Ly-\alpha\ forest of BOSS quasars (2012, methodology): “While the possibility of measuring both combinations is beginning to be exploited (Chuang & Wang, 2012; Xu et al., 2012), most present measurements have concentrated on the combination DV ≡ [(1 + z)2D2Acz/H]1/3, which determines the peak position for an isotropic distribution of galaxy pairs and an…”
A 2 per cent distance to $z$=0.35 by reconstructing baryon acoustic oscillations - I. Methods and application to the Sloan Digital Sky Survey (2012, background): “…2007, 2010; Gaztañaga et al. 2009a; Gaztañaga, Cabré & Hui 2009b; Kazin et al. 2010; Reid et al. 2010; Beutler et al. 2011; Sawangwit et al. 2011; Chuang & Wang 2012; Ho et al. 2012; Seo et al. 2012) and current (Hill et al. 2008; Schlegel, White & Eisenstein 2009; Drinkwater et al. 2010) and…”
Measurement of BAO correlations at $z=2.3$ with SDSS DR12 \lya-Forests (2017, background): “Results at other redshifts have been obtained by 6dFGRS at z ∼ 0.11 (Beutler et al. 2011), WiggleZ at 0.4 < z < 0.8 (Blake et al. 2011), SDSS-I at z ∼ 0.35 (Padmanabhan et al. 2012; Mehta et al. 2012; Chuang & Wang 2012; Xu et al. 2013) and SDSS-I at z ∼ 0.15 (Ross et al. 2015).”
HUBBLE PARAMETER MEASUREMENT CONSTRAINTS ON THE COSMOLOGICAL DECELERATION–ACCELERATION TRANSITION REDSHIFT (2013, methodology): “Busca et al. (2012) use Lyα BAO and WMAP7 data while Blake et al. (2012) and Chuang & Wang (2012b) use galaxy clustering BAO data to estimate H (z). result from analyses of a given data set.”
Baryon acoustic oscillations in the Lyα forest of BOSS DR11 quasars (2014, methodology): “The first combined constraints on DH/rd and DA/rd were obtained using the z ∼ 0.3 SDSS data by Chuang & Wang (2012) and Xu et al. (2012).”
The clustering of galaxies in the SDSS-III DR9 Baryon Oscillation Spectroscopic Survey: testing deviations from Λ and general relativity using anisotropic clustering of galaxies (2012, methodology): “The AP effect has been recently used to jointly measureDA, H and fσ8 in three redshift bins from WiggleZ survey (Blake et al. 2012) and using the SDSS-II LRG sample (Chuang & Wang 2012).”
Measuring DA and H at z = 0.35 from the SDSS DR7 LRGs using baryon acoustic oscillations (2012, background): “…different directions (Okumura et al. 2008; Blake et al. 2011b; Gaztañaga, Cabré & Hui 2011; Chuang & Wang 2012a; Kazin, Sánchez & Blanton 2012) or by looking at higher order multipoles of the two-point statistics (Padmanabhan & White 2008; Taruya, Saito & Nishimichi 2011; Chuang & Wang 2012b).”
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: single-probe measurements from CMASS anisotropic galaxy clustering (2013, methodology): “…(red square), and other measurements (black circles and blue triangles; Percival et al. 2010; Blake et al. 2011a; Beutler et al. 2012, 2014; Chuang & Wang 2012; Chuang et al. 2012; Padmanabhan et al. 2012; Anderson et al. 2013, 2014b; Samushia et al. 2014; Tojeiro et al. 2014; Ross et al.…”
Modelling the anisotropic two-point galaxy correlation function on small scales and single-probe measurements of H(z), DA(z) and f(z)σ8(z) from the Sloan Digital Sky Survey DR7 luminous red galaxies (2012, methodology): “Our model incorporates the overall non-linear effects via the use of the ‘dewiggled’ galaxy power spectrum, as in Chuang & Wang (2012), but we now include the enhanced damping along the LOS (see equations 1–4).”
The 6dF Galaxy Survey: baryon acoustic oscillations and the local Hubble constant (2011, methodology): “While there are studies that report a successful (but very low signal-to-noise) detection in the 2D correlation function using the SDSS-LRG data (e.g. Gaztanaga, Cabre & Hui 2009; Chuang & Wang 2011, but see also Kazin et al. 2010), our sample does not allow this kind of analysis.”
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: measuring DA and H at z = 0.57 from the baryon acoustic peak in the data release 9 spectroscopic galaxy sample (2013, methodology): “…Digital Sky Survey (SDSS Eisenstein et al. 2005; Hütsi 2006; Tegmark et al. 2006; Percival et al. 2007, 2010; Kazin et al. 2010; Chuang et al. 2012; Chuang & Wang 2012; Padmanabhan et al. 2012; Xu et al. 2012), 2dF Galaxy Redshift Survey (Cole et al. 2005), WiggleZ survey (Blake et al. 2011a,b),…”