Forecasting the dark energy measurement with baryon acoustic oscillations: prospects for the LAMOST surveys

The Large Area Multi-Object Fibre Spectroscopic Telescope (LAMOST) is a dedicated spectroscopic survey telescope being built in China, with an effective aperture of 4 m and equipped with 4000 fibres. Using the LAMOST telescope, one could make redshift survey of the large-scale structure (LSS). The baryon acoustic oscillation features in the LSS power spectrum provide standard rulers for measuring dark energy and other cosmological parameters. In this paper, we investigate the measurement precision achievable for a few possible surveys: (1) a magnitude-limited survey of all galaxies, (2) a survey of colour-selected luminous red galaxies (LRG) and (3) a magnitude-limited, high-density survey of z < 2 quasars. For each survey, we use the halo model to estimate the bias of the sample, and calculate the effective volume. We then use the Fisher matrix method to forecast the error on the dark energy equation of state and other cosmological parameters for different survey parameters. In a few cases, we also use the Markov Chain Monte Carlo method to make the same forecast as a comparison. The fibre time required for each of these surveys is also estimated. These results would be useful in designing the surveys for LAMOST.

[1]  R. Nichol,et al.  The Intermediate-Scale Clustering of Luminous Red Galaxies , 2004, astro-ph/0411557.

[2]  Probing dark energy with baryonic acoustic oscillations at high redshifts , 2006, astro-ph/0609354.

[3]  M. White,et al.  Red Galaxy Growth and the Halo Occupation Distribution , 2008, 0804.2293.

[4]  M. Crocce,et al.  Renormalized cosmological perturbation theory , 2006 .

[5]  D. Eisenstein,et al.  On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter , 2006, astro-ph/0604361.

[6]  The Lyman-alpha Forest Power Spectrum from the Sloan Digital Sky Survey , 2004, astro-ph/0405013.

[7]  J. Xia,et al.  Probing for cosmological parameters with LAMOST measurement , 2008, 0806.1842.

[8]  J. Peacock,et al.  Stable clustering, the halo model and non-linear cosmological power spectra , 2002, astro-ph/0207664.

[9]  Lingzhe Xu,et al.  Overview of LAMOST control system , 2003, SPIE Astronomical Telescopes + Instrumentation.

[10]  J. Gunn,et al.  A New Technique for Galaxy Photometric Redshifts in the Sloan Digital Sky Survey , 2007, 0707.3443.

[11]  A. Lewis,et al.  Cosmological parameters from CMB and other data: A Monte Carlo approach , 2002, astro-ph/0205436.

[12]  L. Moscardini,et al.  Modelling the quasi-stellar object luminosity and spatial clustering at low redshifts , 2006, astro-ph/0602361.

[13]  Self-regulated Growth of Supermassive Black Holes in Galaxies as the Origin of the Optical and X-Ray Luminosity Functions of Quasars , 2003, astro-ph/0304156.

[14]  D. Wake,et al.  MegaZ-LRG:a photometric redshift catalogue of one million SDSS luminous red galaxies , 2006, astro-ph/0607630.

[15]  Ravi K. Sheth Giuseppe Tormen.  Large scale bias and the peak background split , 1999 .

[16]  D. P. Schneider,et al.  The Luminosity and Color Dependence of the Galaxy Correlation Function , 2005 .

[17]  E. Gaztañaga,et al.  Clustering of luminous red galaxies – II. Small‐scale redshift‐space distortions , 2008, 0807.2461.

[18]  R. Nichol,et al.  The 2dF-SDSS LRG and QSO Survey: the LRG 2-point correlation function and redshift-space distortions , 2006, astro-ph/0612400.

[19]  R. Nichol,et al.  Universal fitting formulae for baryon oscillation surveys , 2005, astro-ph/0510239.

[20]  A. Myers,et al.  The 2dF-SDSS LRG and QSO (2SLAQ) survey: the z < 2.1 quasar luminosity function from 5645 quasars to g=21.85 , 2005, astro-ph/0504300.

[21]  B. Paczyński,et al.  An evolution free test for non-zero cosmological constant , 1979, Nature.

[22]  Theoretical Models of the Halo Occupation Distribution: Separating Central and Satellite Galaxies , 2004, astro-ph/0408564.

[23]  Systematic effects in the sound horizon scale measurements , 2006, astro-ph/0605594.

[24]  Chao Zhai,et al.  Architecture of the software for LAMOST fiber positioning subsystem , 2004, SPIE Astronomical Telescopes + Instrumentation.

[25]  M. Magliocchetti,et al.  The halo distribution of 2dF galaxies , 2003 .

[26]  M. Su,et al.  The Feasibility of Constraining Dark Energy Using LAMOST Redshift Survey , 2006 .

[27]  Y. Wang,et al.  SPACE: the spectroscopic all-sky cosmic explorer , 2008, 0804.4433.

[28]  The DEEP2 Galaxy Redshift Survey: Clustering of Galaxies as a Function of Luminosity at z = 1 , 2005, astro-ph/0512233.

[29]  Peder Norberg,et al.  Cosmic evolution of quasar clustering: implications for the host haloes , 2004 .

[30]  A. Szalay,et al.  Large-Scale Anisotropic Correlation Function of SDSS Luminous Red Galaxies , 2007, 0711.3640.

[31]  Peculiar velocities of galaxies and clusters , 2000, astro-ph/0009166.

[32]  Max Tegmark.  Measuring Cosmological Parameters with Galaxy Surveys , 1997, astro-ph/9706198.

[33]  The detectability of baryonic acoustic oscillations in future galaxy surveys. , 2007, astro-ph/0702543.

[34]  Alexander S. Szalay,et al.  Measuring the Baryon Acoustic Oscillation scale using the Sloan Digital Sky Survey and 2dF Galaxy Redshift Survey , 2007 .

[35]  et al,et al.  The Luminosity Function of Galaxies from SDSS Commissioning Data , 2000 .

[36]  R. Nichol,et al.  Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies , 2005, astro-ph/0501171.

[37]  Albert Stebbins,et al.  A Probe of Primordial Gravity Waves and Vorticity , 1997 .

[38]  D. Wake,et al.  Luminous red galaxy clustering at z = 0.7 - First results using AAOmega , 2007, 0704.3739.

[39]  R. Nichol,et al.  The Galaxy Luminosity Function and Luminosity Density at Redshift z = 0.1 , 2002, astro-ph/0210215.

[40]  Kevin Bandura,et al.  The Hubble Sphere Hydrogen Survey , 2006, astro-ph/0606104.

[41]  V. Narayanan,et al.  Spectroscopic Target Selection for the Sloan Digital Sky Survey: The Luminous Red Galaxy Sample , 2001, astro-ph/0108153.

[42]  O. Lahav,et al.  Halo-model signatures from 380 000 Sloan Digital Sky Survey luminous red galaxies with photometric redshifts , 2007, 0704.3377.

[43]  B. Jain,et al.  How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering , 2000, astro-ph/0006319.

[44]  D. Weinberg,et al.  The Halo Occupation Distribution: Toward an Empirical Determination of the Relation between Galaxies and Mass , 2001, astro-ph/0109001.

[45]  Scale Dependence of Halo and Galaxy Bias: Effects in Real Space , 2006, astro-ph/0609547.

[46]  N. Kaiser.  Clustering in real space and in redshift space , 1987 .

[47]  P. Norberg,et al.  The real-space clustering of luminous red galaxies around z<0.6 quasars in the Sloan Digital Sky Survey , 2008, 0802.2105.

[48]  A. Szalay,et al.  The Sloan Digital Sky Survey Quasar Catalog. IV. Fifth Data Release , 2007, 0704.0806.

[49]  William H. Press,et al.  Formation of Galaxies and Clusters of Galaxies by Self-Similar Gravitational Condensation , 1974 .

[50]  Baryonic signatures in Large-Scale Structure , 1998, astro-ph/9812214.

[51]  Martin White,et al.  Acoustic Signatures in the Cosmic Microwave Background , 1996 .

[52]  ScienceDirect.  New astronomy reviews , 1998 .

[53]  Naoki Yasuda,et al.  Galaxy Number Counts from the Sloan Digital Sky Survey Commissioning Data , 2001, astro-ph/0105545.

[54]  F. Abdalla,et al.  Probing dark energy with baryonic oscillations and future radio surveys of neutral hydrogen , 2004, astro-ph/0411342.

[55]  Oxford,et al.  The 2dF QSO Redshift Survey – XII. The spectroscopic catalogue and luminosity function , 2004, astro-ph/0403040.

[56]  Uros Seljak,et al.  Measuring Polarization in the Cosmic Microwave Background , 1996, astro-ph/9608131.

[57]  Andreas Kelz,et al.  Development of the wide-field IFU PPak , 2004, SPIE Astronomical Telescopes + Instrumentation.

[58]  Xiaohu Yang,et al.  Mock LAMOST galaxy redshift surveys: I. Methodology☆☆☆ , 2000 .

[59]  Eric V. Linder.  Baryon oscillations as a cosmological probe , 2003 .

[60]  Red Galaxy Clustering in the NOAO Deep Wide-Field Survey , 2003, astro-ph/0306128.

[61]  Chao Zhai,et al.  Design of control system for fiber positioning system of LAMOST , 2003, SPIE Astronomical Telescopes + Instrumentation.

[62]  D. Eisenstein,et al.  Cosmic Complementarity: Joint Parameter Estimation from Cosmic Microwave Background Experiments and Redshift Surveys , 1998, astro-ph/9807130.

[63]  Patrick McDonald,et al.  Dark energy and curvature from a future baryonic acoustic oscillation survey using the Lyman-αforest , 2007 .

[64]  G. Huetsi.  Acoustic oscillations in the SDSS DR4 luminous red galaxy sample power spectrum , 2005, astro-ph/0507678.

[65]  E. Gaztañaga,et al.  Clustering of luminous red galaxies – I. Large-scale redshift-space distortions , 2008, 0807.2460.

[66]  U. Seljak,et al.  A Line of sight integration approach to cosmic microwave background anisotropies , 1996, astro-ph/9603033.

[67]  D. Eisenstein.  Dark energy and cosmic sound , 2005 .

[68]  Galaxy clustering from COMBO-17: the halo occupation distribution at = 0.6 , 2005, astro-ph/0506320.

[69]  Lei Wang,et al.  High-resolution spectrograph with R4 echelle for LAMOST , 2004, SPIE Astronomical Telescopes + Instrumentation.

[70]  R. Nichol,et al.  On Departures from a Power Law in the Galaxy Correlation Function , 2003, astro-ph/0301280.

[71]  Richard M. West,et al.  Highlights of astronomy , 1968 .

[72]  Wendy L. Freedman,et al.  Report of the Dark Energy Task Force , 2006, astro-ph/0609591.

[73]  A. Szalay,et al.  Can Baryonic Features Produce the Observed 100 [CLC][ITAL]h[/ITAL][/CLC][TSUP]−1[/TSUP] M[CLC]pc[/CLC] Clustering? , 1998 .

[74]  Edward J. Wollack,et al.  Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology , 2006, astro-ph/0603449.

[75]  R. Ellis,et al.  The 2dF Galaxy Redshift Survey: power-spectrum analysis of the final data set and cosmological implications , 2005, astro-ph/0501174.

[76]  Scott Croom,et al.  The WiggleZ Project: AAOmega and Dark Energy , 2007, astro-ph/0701876.

[77]  Spatial Correlation Function and Pairwise Velocity Dispersion of Galaxies: Cold Dark Matter Models versus the Las Campanas Survey , 1997, astro-ph/9707106.

[78]  D. Eisenstein,et al.  Improved Forecasts for the Baryon Acoustic Oscillations and Cosmological Distance Scale , 2007, astro-ph/0701079.

[79]  Theoretical uncertainty in baryon oscillations , 2004, astro-ph/0407539.

[80]  U. Seljak.  Analytic model for galaxy and dark matter clustering , 2000, astro-ph/0001493.

[81]  L. Woltjer,et al.  Large Ground-Based Telescopes , 1994 .

[82]  J. Peacock,et al.  Halo occupation numbers and galaxy bias , 2000, astro-ph/0005010.

[83]  Hilton Lewis,et al.  Advanced software, control, and communication systems for astronomy : 21-22 June 2004, Glasgow, Scotland, United Kingdom , 2004 .

[84]  Hee-Jong SeoDaniel J. Eisenstein.  Probing Dark Energy with Baryonic Acoustic Oscillations from Future Large Galaxy Redshift Surveys , 2003 .

[85]  Richard Stone,et al.  China's LAMOST Observatory Prepares for the Ultimate Test , 2008, Science.

[86]  Ravi Sheth,et al.  Halo Models of Large Scale Structure , 2002, astro-ph/0206508.

[87]  Wayne Hu,et al.  Baryonic Features in the Matter Transfer Function , 1997, astro-ph/9709112.

[88]  M. Crocce,et al.  Memory of initial conditions in gravitational clustering , 2006 .

[89]  Yun Wang,et al.  Figure of merit for dark energy constraints from current observational data , 2008, 0803.4295.

[90]  D. Eisenstein,et al.  Non-linear Structure Formation and the Acoustic Scale , 2022 .

[91]  R. J. Brunner,et al.  The 2dF-SDSS LRG and QSO (2SLAQ) luminous red galaxy survey , 2006, astro-ph/0607631.

[92]  R. Nichol,et al.  Cosmological constraints from the SDSS luminous red galaxies , 2006, astro-ph/0608632.

[93]  Julien Lesgourgues,et al.  Probing cosmological parameters with the CMB: forecasts from Monte Carlo simulations , 2006 .

[94]  J. Peacock,et al.  Power spectrum analysis of three-dimensional redshift surveys , 1993, astro-ph/9304022.

[95]  Yongtian Zhu,et al.  Low-resolution spectrograph for LAMOST , 2000, Astronomical Telescopes and Instrumentation.

[96]  M. Crocce,et al.  Nonlinear evolution of baryon acoustic oscillations , 2007, 0704.2783.

[97]  I. Smail,et al.  The 2df SDSS LRG and QSO survey: evolution of the luminosity function of luminous red galaxies to z= 0.6 , 2006, astro-ph/0607629.

[98]  R. Smith,et al.  Motion of the Acoustic Peak in the Correlation Function , 2007, astro-ph/0703620.

[99]  Breaking the Degeneracies between Cosmology and Galaxy Bias , 2005, astro-ph/0512071.

[100]  R. Nichol,et al.  The Sloan Digital Sky Survey Quasar Catalog. III. Third Data Release , 2005, astro-ph/0503679.

[101]  V. Narayanan,et al.  Spectroscopic Target Selection in the Sloan Digital Sky Survey: The Main Galaxy Sample , 2002, astro-ph/0206225.

[102]  M. White.  Cosmology with the Ly-a forest , 2003, astro-ph/0305474.