Statistical and systematic errors in redshift-space distortion measurements from large surveys
Entity
UAM. Departamento de Física TeóricaPublisher
Oxford University Press; Royal Astronomical SocietyDate
2012-12-11Citation
10.1111/j.1365-2966.2012.22110.x
Monthly Notices of the Royal Astronomical Society 427.11 (2012): 2420-2436
ISSN
0035-8711 (print); 1365-2966 (online)DOI
10.1111/j.1365-2966.2012.22110.xFunded by
EM is supported by the Spanish MICINNs Juan de la Cierva programme (JCI-2010-08112), by CICYT through the project FPA-2009 09017 and by the Community of Madrid through the project HEPHACOS (S2009/ESP-1473) under grant P-ESP-00346. Financial support of PRIN-INAF 2007, PRIN-MIUR 2008 and ASI Contracts I/023/05/0, I/088/06/0, I/016/07/0, I/064/08/0 and I/039/10/0 is gratefully acknowledged. LG is partly supported by ERC Advanced Grant #291521 ‘DARKLIGHT’.Project
Comunidad de Madrid S2009/ESP-1473/HEPHACOS; info:eu-repo/grantAgreement/EC/FP7/291521Editor's Version
http://dx.doi.org/10.1111/j.1365-2966.2012.22110.xSubjects
Cosmological parameters; Dark energy; Large-scale structure of Universe; FísicaNote
This article has been accepted for publication in Monthly Notices of the Royal Astronomical Society © 2012 RAS © 2012 The Authors Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved.Rights
© 2012 The Authors; © 2012 RASAbstract
We investigate the impact of statistical and systematic errors on measurements of linear redshift-space distortions (RSD) in future cosmological surveys by analysing large catalogues of dark matter haloes from the baryonic acoustic oscillation simulations at the Institute for Computational Cosmology. These allow us to estimate the dependence of errors on typical survey properties, as volume, galaxy density and mass (i.e. bias factor) of the adopted tracer. We find that measures of the specific growth rate β = f/b using the Hamilton/Kaiser harmonic expansion of the redshift-space correlation function ξ(r p, π) on scales larger than 3h -1 Mpc are typically underestimated by up to 10 per cent for galaxy-sized haloes. This is significantly larger than the corresponding statistical errors, which amount to a few per cent, indicating the importance of non-linear improvements to the Kaiser model, to obtain accurate measurements of the growth rate. The systematic error shows a diminishing trend with increasing bias value (i.e. mass) of the haloes considered. We compare the amplitude and trends of statistical errors as a function of survey parameters to predictions obtained with the Fisher information matrix technique. This is what is usually adopted to produce RSD forecasts, based on the Feldman-Kaiser-Peacock prescription for the errors on the power spectrum. We show that this produces parameter errors fairly similar to the standard deviations from the halo catalogues, provided it is applied to strictly linear scales in Fourier space (k<0.2 h Mpc -1). Finally, we combine our measurements to define and calibrate an accurate scaling formula for the relative error on β as a function of the same parameters, which closely matches the simulation results in all explored regimes. This provides a handy and plausibly more realistic alternative to the Fisher matrix approach, to quickly and accurately predict statistical errors on RSD expected from future surveys
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Google Scholar:Bianchi, D.
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Guzzo, L.
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Branchini, E.
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Majerotto, Elisabetta
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de la Torre, S.
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Marulli, F.
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Moscardini, L.
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Angulo, R. E.
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