Stephanie Escoffier, John A. Peacock, Kyle S. Dawson, Shadab Alam, Cheng Zhao, Anand Raichoor, Chia-Hsun Chuang, Arnaud de Mattia, Yuting Wang, Hélion du Mas des Bourboux, Héctor Gil-Marín, Johan Comparat, Jeffrey A. Newman, Gong-Bo Zhao, Jiamin Hou, Eva Maria Mueller, Jean-Paul Kneib, Oliver H. E. Philcox, Ashley J. Ross, Kazuya Koyama, V. Ruhlmann-Kleider, Sylvain de la Torre, Etienne Burtin, Graziano Rossi, Donald P. Schneider, J. Bautista, Amélie Tamone, Arman Shafieloo, Will J. Percival, Romain Paviot, National Astronomical Observatories [Beijing] (NAOC), Chinese Academy of Sciences [Beijing] (CAS), University of Chinese Academy of Sciences [Beijing] (UCAS), Ecole Polytechnique Fédérale de Lausanne (EPFL), Department of Astrophysical Sciences [Princeton], Princeton University, Harvard-Smithsonian Center for Astrophysics (CfA), Smithsonian Institution-Harvard University [Cambridge], Institute for Astronomy [Edinburgh] (IfA), University of Edinburgh, Institut de Recherches sur les lois Fondamentales de l'Univers (IRFU), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay, Center for Cosmology & AstroParticle Physics, Ohio State University [Columbus] (OSU), Centre de Physique des Particules de Marseille (CPPM), Aix Marseille Université (AMU)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'Astrophysique de Marseille (LAM), Aix Marseille Université (AMU)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales [Toulouse] (CNES)-Centre National de la Recherche Scientifique (CNRS), Department of Physics and Astronomy [Waterloo], University of Waterloo [Waterloo], Perimeter Institute for Theoretical Physics [Waterloo], University of Utah, Institut de Ciencies del Cosmos (ICCUB), Universitat de Barcelona (UB), Institute for Space Studies of Catalonia [Barcelona] (IEEC-CSIC), Institute of Cosmology and Gravitation [Portsmouth] (ICG), University of Portsmouth, Max Planck Institute for Extraterrestrial Physics (MPE), Max-Planck-Gesellschaft, Department of Physics [Oxford], University of Oxford [Oxford], Department of Physics and Astronomy [Pittsburgh], University of Pittsburgh (PITT), Pennsylvania Commonwealth System of Higher Education (PCSHE)-Pennsylvania Commonwealth System of Higher Education (PCSHE), Sejong University, Korea Astronomy and Space Science Institute, Institute for Gravitation and the Cosmos [PennState], Pennsylvania State University (Penn State), Penn State System-Penn State System, Harvard University-Smithsonian Institution, University of Oxford, ANR-16-CE31-0021,eBOSS,Sondes cosmologiques de la gravitation et de l'énergie noire(2016), National Key Research and Development Program (China), National Natural Science Foundation of China, European Commission, and National Research Foundation of Korea
We perform a multi-tracer analysis using the complete Sloan Digital Sky Survey IV (SDSS-IV) extended Baryon Oscillation Spectroscopic Survey (eBOSS) DR16 luminous red galaxy (LRG) and the DR16 emission line galaxy (ELG) samples in the configuration space, and successfully detect a cross correlation between the two samples, and find the growth rate to be $f\sigma_8=0.342 \pm 0.085$ ($\sim25$ per cent accuracy) from the cross sample alone. We perform a joint measurement of the baryonic acoustic oscillation (BAO) and redshift space distortion (RSD) parameters at a single effective redshift of $z_{\rm eff}= 0.77$, using the auto- and cross-correlation functions of the LRG and ELG samples, and find that the comoving angular diameter distance $D_M(z_{\rm eff})/r_d = 18.85\pm 0.38$, the Hubble distance $D_H(z_{\rm eff})/r_d = 19.64 \pm 0.57$, and $f\sigma_8(z_{\rm eff}) = 0.432 \pm 0.038$, which is consistent with a $\Lambda$CDM model at $68\%$ CL. Compared to the single-tracer analysis on the LRG sample, the Figure of Merit (FoM) of $\alpha_{\perp}, \alpha_{||}$ and $f\sigma_8$ is improved by a factor of $1.11$ in our multi-tracer analysis, and in particular, the statistical uncertainty of $f\sigma_8$ is reduced by $11.6 \%$., Comment: 15 pages, 13 figures, 2 tables; MNRAS accepted; The BAO and RSD measurements and the covariance matrix are made available at https://github.com/ytcosmo/MultiTracerBAORSD/