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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Fisher matrix for multiple tracers: model independent constraints on the redshift distortion parameter

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Abramo, L. Raul [1] ; Amendola, Luca [2]
Total Authors: 2
[1] Univ Sao Paulo, Inst Fis, Dept Fis Matemat, Rua Matao 1371, BR-05508090 Sao Paulo - Brazil
[2] Heidelberg Univ, ITP, Philosophenweg 16, D-69120 Heidelberg - Germany
Total Affiliations: 2
Document type: Journal article
Source: Journal of Cosmology and Astroparticle Physics; n. 6 JUN 2019.
Web of Science Citations: 0

We show how to obtain constraints on beta = f/b, the ratio of the matter growth rate and the bias that quantifies the linear redshift-space distortions, that are independent of the cosmological model, using multiple tracers of large-scale structure. For a single tracer the uncertainties on beta are constrained by the uncertainties in the amplitude and shape of the power spectrum, which is limited by cosmic variance. However, for two or more tracers this limit does not apply, since taking the ratio of power spectra cosmic variance cancels out, and in the linear (Kaiser) approximation one measures directly the quantity (1 broken vertical bar beta(1)mu(2))(2) /(1 broken vertical bar beta(2)mu(2))(2), where mu is the angle of a given mode with the line of sight. We provide analytic formulae for the Fisher matrix for one and two tracers, and quantify the signal-to-noise ratio needed to make effective use of the multiple-tracer technique. We also forecast the errors on beta for a survey like Euclid. (AU)

FAPESP's process: 18/04683-9 - Large-scale structure in the local universe with the S-PLUS survey
Grantee:Luis Raul Weber Abramo
Support type: Regular Research Grants