Testing gravity with galaxy-galaxy lensing and redshift-space distortions using CFHT-Stripe 82, CFHTLenS, and BOSS CMASS datasets^⋆

¹ Aix-Marseille Univ., CNRS, CNES, LAM, Marseille, France
e-mail: eric.jullo@lam.fr
² Aix-Marseille Univ., CNRS/IN2P3, CPPM, Marseille, France
³ Dipartimento di Fisica e Scienze della Terra, Università degli Studi di Ferrara, Via Saragat 1, 44122 Ferrara, Italy
⁴ INAF – Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Gobetti 93/3, 40129 Bologna, Italy
⁵ Dipartimento di Fisica e Astronomia, Alma Mater Studiorum Università di Bologna, Via Gobetti 93/2, 40129 Bologna, Italy
⁶ INFN – Sezione di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy
⁷ Max-Planck-Institut für extraterrestrische Physik, Giessenbachstrasse 1, 85748 Garching bei München, Germany
⁸ Shanghai Astronomical Observatory (SHAO), Nandan Road 80, Shanghai 200030, PR China
⁹ Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, RJ 22290-180, Brasil
¹⁰ Institute of Physics, Laboratory of Astrophysics, Ecole Polytechnique Fédérale de Lausanne (EPFL), Observatoire de Sauverny, 1290 Versoix, Switzerland
¹¹ Instituto de Astrofísica de Andalucía (CSIC), Glorieta de la Astronomía, 18080 Granada, Spain
¹² Departamento de Física Teórica, Módulo 15, Universidad Autónoma de Madrid, 28049 Madrid, Spain
¹³ Centro de Investigación Avanzada en Física Fundamental (CIAFF), Universidad Autónoma de Madrid, 28049 Madrid, Spain
¹⁴ Leibniz-Institut für Astrophysik (AIP), An der Sternwarte 16, 14482 Potsdam, Germany

Received: 12 November 2018
Accepted: 2 May 2019

Abstract

The combination of galaxy-galaxy lensing (GGL) and redshift space distortion of galaxy clustering (RSD) is a privileged technique to test general relativity predictions and break degeneracies between the growth rate of structure parameter f and the amplitude of the linear power spectrum σ₈. We performed a joint GGL and RSD analysis on 250 sq. deg using shape catalogues from CFHTLenS and CFHT-Stripe 82 and spectroscopic redshifts from the BOSS CMASS sample. We adjusted a model that includes non-linear biasing, RSD, and Alcock–Paczynski effects. We used an N-body simulation supplemented by an abundance matching prescription for CMASS galaxies to build a set of overlapping lensing and clustering mocks. Together with additional spectroscopic data, this helps us to quantify and correct several systematic errors, such as photometric redshifts. We find f(z = 0.57) = 0.95 ± 0.23, σ₈(z = 0.57) = 0.55 ± 0.07 and Ω_m = 0.31 ± 0.08, in agreement with Planck cosmological results 2018. We also estimate the probe of gravity E_G = 0.43 ± 0.10, in agreement with ΛCDM−GR predictions of E_G = 0.40. This analysis reveals that RSD efficiently decreases the GGL uncertainty on Ω_m by a factor of 4 and by 30% on σ₈. We make our mock catalogues available on the Skies and Universe database.