The Alcock Paczynski test with Baryon Acoustic Oscillations: systematic effects for future surveys

Abstract

We investigate the Alcock Paczynski (AP) test applied to the Baryon Acoustic Oscillation (BAO) feature in the galaxy correlation function. By using a general formalism that includes relativistic effects, we quantify the importance of the linear redshift space distortions and gravitational lensing corrections to the galaxy number density fluctuation. We show that redshift space distortions significantly affect the shape of the correlation function, both in radial and transverse directions, causing different values of galaxy bias to induce offsets up to 1% in the AP test. On the other hand, we find that the lensing correction around the BAO scale modifies the amplitude but not the shape of the correlation function and therefore does not introduce any systematic effect. Furthermore, we investigate in details how the AP test is sensitive to redshift binning: a window function in transverse direction suppresses correlations and shifts the peak position toward smaller angular scales. We determine the correction that should be applied in order to account for this effect, when performing the test with data from three future planned galaxy redshift surveys: Euclid, the Dark Energy Spectroscopic Instrument (DESI) and the Square Kilometer Array (SKA).

27 pages, 15 Figures, 3 Tables, Accepted in JCAP

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• The Hubble constant tension with next-generation galaxy surveys
• Lensing convergence in galaxy clustering in LambdaCDM and beyond
• Backreaction and FRW consistency conditions
• A direct method to compute the galaxy count angular correlation function including redshift-space distortions
• The Cosmological Consistency Relation in a Universe with Structure