Affiliation:
1. School of Physics and Astronomy, Sun Yat-sen University , 2 Daxue Road, Tangjia, Zhuhai 519082, China
2. CSST Science Center for the Guangdong-Hongkong-Macau Greater Bay Area SYSU , Zhuhai 519082, China
3. Institute of Theoretical Astrophysics, University of Oslo , PO Box 1029 Blindern, NO-0315 Oslo, Norway
4. Institut d’Estudis Espacials de Catalunya (IEEC) , E-08034 Barcelona, Spain
5. Institute of Space Sciences (ICE, CSIC) , Campus UAB, Carrer de Can Magrans, s/n, E-08193 Barcelona, Spain
6. Instituto de Fisica Teorica UAM/CSIC, Universidad Autonoma de Madrid , E-28049 Madrid, Spain
7. Departamento de Física Teórica, Universidad Autónoma de Madrid , E-28049 Madrid, Spain
8. Center for Cosmology and Astro-Particle Physics, The Ohio State University , Columbus, OH 43210, USA
Abstract
ABSTRACT
Photometric data can be analysed using the 3D correlation function ξp to extract cosmological information via e.g. measurement of the Baryon Acoustic Oscillations (BAO). Previous studies modeled ξp assuming a Gaussian photo-z approximation. In this work we improve the modeling by incorporating realistic photo-z distribution. We show that the position of the BAO scale in ξp is determined by the photo-z distribution and the Jacobian of the transformation. The latter diverges at the transverse scale of the separation s⊥, and it explains why ξp traces the underlying correlation function at s⊥, rather than s, when the photo-z uncertainty σz/(1+ z) ≳ 0.02. We also obtain the Gaussian covariance for ξp. Due to photo-z mixing, the covariance of ξp shows strong off-diagonal elements. The high correlation of the data causes some issues to the data fitting. None the less, we find that either it can be solved by suppressing the largest eigenvalues of the covariance or it is not directly related to the BAO. We test our BAO fitting pipeline using a set of mock catalogs. The data set is dedicated for Dark Energy Survey Year 3 (DES Y3) BAO analyses and includes realistic photo-z distributions. The theory template is in good agreement with mock measurement. Based on the DES Y3 mocks, ξp statistic is forecast to constrain the BAO shift parameter α to be 1.001 ± 0.023, which is well consistent with the corresponding constraint derived from the angular correlation function measurements. Thus, ξp offers a competitive alternative for the photometric data analyses.
Funder
National Science Foundation of China
Science and Technology Program of Guangzhou, China
H2020 Marie Skłodowska-Curie Actions
UAM
EWC
U.S. Department of Energy
National Science Foundation
Science and Technology Facilities Council
Higher Education Funding Council for England
National Center for Supercomputing Applications
University of Illinois at Urbana-Champaign
University of Chicago
Ohio State University
Financiadora de Estudos e Projetos
Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Ministério da Ciência, Tecnologia e Inovação
Deutsche Forschungsgemeinschaft
Argonne National Laboratory
University of California, Santa Cruz
University of Cambridge
Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas
University College London
University of Edinburgh
Eidgenössische Technische Hochschule Zürich
CSIC
Lawrence Berkeley National Laboratory
University of Michigan
University of Nottingham
University of Pennsylvania
University of Portsmouth
SLAC National Accelerator Laboratory
Stanford University
University of Sussex
Texas A and M University
MICINN
ERDF
European Research Council
CNPq
Office of Science
High Energy Physics
Publisher
Oxford University Press (OUP)
Subject
Space and Planetary Science,Astronomy and Astrophysics