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Euclid preparation. VII. Forecast validation for Euclid cosmological probes

Blanchard, A. and Camera, S. and Carbone, C. and Cardone, V. F. and Casas, S. and Clesse, S. and Ilić, S. and Kilbinger, M. and Kitching, T. and Kunz, M. and Lacasa, F. and Linder, E. and Majerotto, E. and Markovič, K. and Martinelli, M. and Pettorino, V. and Pourtsidou, A. and Sakr, Z. and Sánchez, A. G. and Sapone, D. and Tutusaus, I. and Yahia-Cherif, S. and Yankelevich, V. and Andreon, S. and Aussel, H. and Balaguera-Antolínez, A. and Baldi, M. and Bardelli, S. and Bender, R. and Biviano, A. and Bonino, D. and Boucaud, A. and Bozzo, E. and Branchini, E. and Brau-Nogue, S. and Brescia, M. and Brinchmann, J. and Burigana, C. and Cabanac, R. and Capobianco, V. and Cappi, A. and Carretero, J. and Carvalho, C. S. and Casas, R. and Castander, F. J. and Castellano, M. and Cavuoti, S. and Cimatti, A. and Cledassou, R. and Colodro-Conde, C. and Congedo, G. and Conselice, C. J. and Conversi, L. and Copin, Y. and Corcione, L. and Coupon, J. and Courtois, H. M. and Cropper, M. and Da Silva, A. and de la Torre, S. and Di Ferdinando, D. and Dubath, F. and Ducret, F. and Duncan, C. A. J. and Dupac, X. and Dusini, S. and Fabbian, G. and Fabricius, M. and Farrens, S. and Fosalba, P. and Fotopoulou, S. and Fourmanoit, N. and Frailis, M. and Franceschi, E. and Franzetti, P. and Fumana, M. and Galeotta, S. and Gillard, W. and Gillis, B. and Giocoli, C. and Gómez-Alvarez, P. and Graciá-Carpio, J. and Grupp, F. and Guzzo, L. and Hoekstra, H. and Hormuth, F. and Israel, H. and Jahnke, K. and Keihanen, E. and Kermiche, S. and Kirkpatrick, C. C. and Kohley, R. and Kubik, B. and Kurki-Suonio, H. and Ligori, S. and Lilje, P. B. and Lloro, I. and Maino, D. and Maiorano, E. and Marggraf, O. and Martinet, N. and Marulli, F. and Massey, R. and Medinaceli, E. and Mei, S. and Mellier, Y. and Metcalf, B. and Metge, J. J. and Meylan, G. and Moresco, M. and Moscardini, L. and Munari, E. and Nichol, R. C. and Niemi, S. and Nucita, A. A. and Padilla, C. and Paltani, S. and Pasian, F. and Percival, W. J. and Pires, S. and Polenta, G. and Poncet, M. and Pozzetti, L. and Racca, G. D. and Raison, F. and Renzi, A. and Rhodes, J. and Romelli, E. and Roncarelli, M. and Rossetti, E. and Saglia, R. and Schneider, P. and Scottez, V. and Secroun, A. and Sirri, G. and Stanco, L. and Starck, J.-L. and Sureau, F. and Tallada-Crespí, P. and Tavagnacco, D. and Taylor, A. N. and Tenti, M. and Tereno, I. and Toledo-Moreo, R. and Torradeflot, F. and Valenziano, L. and Vassallo, T. and Verdoes Kleijn, G. A. and Viel, M. and Wang, Y. and Zacchei, A. and Zoubian, J. and Zucca, E. (2020) Euclid preparation. VII. Forecast validation for Euclid cosmological probes. Astronomy and Astrophysics, 642 . Art. No. A191. ISSN 0004-6361. doi:10.1051/0004-6361/202038071.

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Aims. The Euclid space telescope will measure the shapes and redshifts of galaxies to reconstruct the expansion history of the Universe and the growth of cosmic structures. The estimation of the expected performance of the experiment, in terms of predicted constraints on cosmological parameters, has so far relied on various individual methodologies and numerical implementations, which were developed for different observational probes and for the combination thereof. In this paper we present validated forecasts, which combine both theoretical and observational ingredients for different cosmological probes. This work is presented to provide the community with reliable numerical codes and methods for Euclid cosmological forecasts. Methods. We describe in detail the methods adopted for Fisher matrix forecasts, which were applied to galaxy clustering, weak lensing, and the combination thereof. We estimated the required accuracy for Euclid forecasts and outline a methodology for their development. We then compare and improve different numerical implementations, reaching uncertainties on the errors of cosmological parameters that are less than the required precision in all cases. Furthermore, we provide details on the validated implementations, some of which are made publicly available, in different programming languages, together with a reference training-set of input and output matrices for a set of specific models. These can be used by the reader to validate their own implementations if required. Results. We present new cosmological forecasts for Euclid. We find that results depend on the specific cosmological model and remaining freedom in each setting, for example flat or non-flat spatial cosmologies, or different cuts at non-linear scales. The numerical implementations are now reliable for these settings. We present the results for an optimistic and a pessimistic choice for these types of settings. We demonstrate that the impact of cross-correlations is particularly relevant for models beyond a cosmological constant and may allow us to increase the dark energy figure of merit by at least a factor of three.

Item Type:Article
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URLURL TypeDescription Paper Collaboration
Pettorino, V.0000-0002-4203-9320
Rhodes, J.0000-0002-4485-8549
Additional Information:© Euclid Collaboration 2020. Open Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Received 2 April 2020 / Accepted 15 July 2020. Authors’ contributions: All authors have significantly contributed to this publication and/or made multi-year essential contributions to the Euclid project which made this work possible. The paper-specific main contributions of the lead authors are as follows: Coordinators and corresponding contacts: Thomas Kitching, Valeria Pettorino, Ariel Sánchez. Galaxy Clustering Task: Ariel G. Sánchez, Domenico Sapone, Carmelita Carbone, Santiago Casas, Katarina Markovic, Alkistis Pourtsidou, Safir Yahia-Cherif, Elisabetta Majerotto, Victoria Yankelevich. Weak Lensing Task: Vincenzo F. Cardone, Santiago Casas, Stefano Camera, Matteo Martinelli, Isaac Tutusaus, Thomas Kitching, Martin Kilbinger. Cross-correlations Task: Matteo Martinelli, Isaac Tutusaus, Alain Blanchard, Martin Kunz, Fabien Lacasa, Vincenzo F. Cardone, Sebastien Clesse, Stéphane Ilić, Martin Kilbinger, Marco Raveri, Ziad Sakr. Cosmological context: Valeria Pettorino, Eric Linder, Martin Kunz, Matteo Martinelli, Martin Kilbinger, Alkistis Pourtsidou, Ariel G. Sánchez, Thomas Kitching, Carmelita Carbone, Ziad Sakr. Paper editing: Valeria Pettorino, Ariel G. Sánchez, Thomas Kitching, Domenico Sapone, Matteo Martinelli, Santiago Casas, Katarina Markovic, Isaac Tutusaus, Stefano Camera, Alkistis Pourtsidou, Vincenzo Cardone, Ziad Sakr. We acknowledge support of a number of agencies and institutes that have supported the development of Euclid. A detailed complete list is available on the Euclid web site ( In particular the Academy of Finland, the Agenzia Spaziale Italiana, the Belgian Science Policy, the Canadian Euclid Consortium, the Centre National d’Etudes Spatiales, the Deutsches Zentrum für Luft- and Raumfahrt, the Danish Space Research Institute, the Fundação para a Ciênca e a Tecnologia, the Ministerio de Economia y Competitividad, the National Aeronautics and Space Administration, the Netherlandse Onderzoekschool Voor Astronomie, the Norvegian Space Center, the Romanian Space Agency, the State Secretariat for Education, Research and Innovation (SERI) at the Swiss Space Office (SSO), and the United Kingdom Space Agency. Stefano Camera is supported by the Italian Ministry of Education, University and Research (MIUR) through Rita Levi Montalcini project “PROMETHEUS – Probing and Relating Observables with Multi-wavelength Experiments To Help Enlightening the Universe’s Structure”, and by the “Departments of Excellence 2018–2022” Grant awarded by MIUR (L. 232/2016). Carmelita Carbone acknowledges financial support from the European Research Council through the Darklight Advanced Research Grant (n. 291521), and from the MIUR PRIN 2015 “Cosmology and Fundamental Physics: illuminating the Dark Universe with Euclid”. Santiago Casas and Safir Yahia-Cherif acknowledge support from french space agency CNES. Sebastien Clesse aknowledges support from the Belgian Fund for Research F.R.S-FNRS. Martin Kunz and Fabien Lacasa acknowledge financial support from the Swiss National Science Foundation. Eric Linder acknowledges support by NASA ROSES grant 12-EUCLID12-0004. Katarina Markovic carried out some of the work at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration (80NM0018D0004), and acknowledges support from the UK Science & Technology Facilities Council through grant ST/N000668/1, and from the UK Space Agency through grant ST/N00180X/1. Matteo Martinelli acknowledges support from the D-ITP consortium, a program of the NWO that is funded by the OCW. Alkistis Pourtsidou is a UK Research and Innovation Future Leaders Fellow and also acknowledges support from the UK Science & Technology Facilities Council through grant ST/S000437/1. Domenico Sapone acknowledges financial support from the Fondecyt Regular project number 1200171. Isaac Tutusaus acknowledges support from the Spanish Ministry of Science, Innovation and Universities through grant ESP2017-89838-C3-1-R, and the H2020 programme of the European Commission through grant 776247. Victoria Yankelevich acknowledges financial support by the Deutsche Forschungsgemeinschaft through the Transregio 33 “The Dark Universe”, the International Max Planck Research School for Astronomy and Astrophysics at the Universities of Bonn and Cologne and the Bonn-Cologne Graduate School for Physics and Astronomy. Thomas D. Kitching acknowledges support from a Royal Society University Research Fellowship. Stéphane Ilić acknowledges financial support from the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007–2013)/ERC Grant Agreement No. 617656 “Theories and Models of the Dark Sector: Dark Matter, Dark Energy and Gravity.” Elisabetta Majerotto acknowledges financial support from the Swiss National Science Foundation.
Group:Infrared Processing and Analysis Center (IPAC)
Funding AgencyGrant Number
Academy of FinlandUNSPECIFIED
Agenzia Spaziale Italiana (ASI)UNSPECIFIED
Belgian Federal Science Policy Office (BELSPO)UNSPECIFIED
Canadian Euclid ConsortiumUNSPECIFIED
Centre National d'Études Spatiales (CNES)UNSPECIFIED
Deutsches Zentrum für Luft- and Raumfahrt (DLR)UNSPECIFIED
Danish Space Research InstituteUNSPECIFIED
Fundação para a Ciênca e a Tecnologia (FCT)UNSPECIFIED
Ministerio de Economia y Competitividad (MINECO)UNSPECIFIED
Nederlandse Onderzoekschool voor de Astronomie (NOVA)UNSPECIFIED
Norvegian Space CenterUNSPECIFIED
Romanian Space AgencyUNSPECIFIED
State Secretariat for Education, Research and Innovation (SERI)UNSPECIFIED
Swiss Space Office (SSO)UNSPECIFIED
United Kingdom Space Agency (UKSA)ST/N00180X/1
Ministero dell'Istruzione, dell'Università e della Ricerca (MIUR)232/2016
European Research Council (ERC)291521
Fonds de la Recherche Scientifique (FNRS)UNSPECIFIED
Swiss National Science Foundation (SNSF)UNSPECIFIED
Science and Technology Facilities Council (STFC)ST/N000668/1
Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO)UNSPECIFIED
Science and Technology Facilities Council (STFC)ST/S000437/1
Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT)1200171
Ministerio de Ciencia, Innovación y Universidades (MICIU)ESP2017-89838-C3-1-R
European Research Council (ERC)776247
Deutsche Forschungsgemeinschaft (DFG)Transregio 33
International Max Planck Research School for Astronomy and AstrophysicsUNSPECIFIED
Bonn-Cologne Graduate School for Physics and AstronomyUNSPECIFIED
European Research Council (ERC)617656
Subject Keywords:cosmology: observations / cosmological parameters / cosmology: theory
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Euclid ConsortiumEUCL-EC-RS-8-003
Record Number:CaltechAUTHORS:20201021-160147135
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Official Citation:Euclid preparation - VII. Forecast validation for Euclid cosmological probes Euclid Collaboration, A. Blanchard, S. Camera, C. Carbone, V. F. Cardone, S. Casas, S. Clesse, S. Ilić, M. Kilbinger, T. Kitching, M. Kunz, F. Lacasa, E. Linder, E. Majerotto, K. Markovič, M. Martinelli, V. Pettorino, A. Pourtsidou, Z. Sakr, A. G. Sánchez, D. Sapone, I. Tutusaus, S. Yahia-Cherif, V. Yankelevich, S. Andreon, H. Aussel, A. Balaguera-Antolínez, M. Baldi, S. Bardelli, R. Bender, A. Biviano, D. Bonino, A. Boucaud, E. Bozzo, E. Branchini, S. Brau-Nogue, M. Brescia, J. Brinchmann, C. Burigana, R. Cabanac, V. Capobianco, A. Cappi, J. Carretero, C. S. Carvalho, R. Casas, F. J. Castander, M. Castellano, S. Cavuoti, A. Cimatti, R. Cledassou, C. Colodro-Conde, G. Congedo, C. J. Conselice, L. Conversi, Y. Copin, L. Corcione, J. Coupon, H. M. Courtois, M. Cropper, A. Da Silva, S. de la Torre, D. Di Ferdinando, F. Dubath, F. Ducret, C. A. J. Duncan, X. Dupac, S. Dusini, G. Fabbian, M. Fabricius, S. Farrens, P. Fosalba, S. Fotopoulou, N. Fourmanoit, M. Frailis, E. Franceschi, P. Franzetti, M. Fumana, S. Galeotta, W. Gillard, B. Gillis, C. Giocoli, P. Gómez-Alvarez, J. Graciá-Carpio, F. Grupp, L. Guzzo, H. Hoekstra, F. Hormuth, H. Israel, K. Jahnke, E. Keihanen, S. Kermiche, C. C. Kirkpatrick, R. Kohley, B. Kubik, H. Kurki-Suonio, S. Ligori, P. B. Lilje, I. Lloro, D. Maino, E. Maiorano, O. Marggraf, N. Martinet, F. Marulli, R. Massey, E. Medinaceli, S. Mei, Y. Mellier, B. Metcalf, J. J. Metge, G. Meylan, M. Moresco, L. Moscardini, E. Munari, R. C. Nichol, S. Niemi, A. A. Nucita, C. Padilla, S. Paltani, F. Pasian, W. J. Percival, S. Pires, G. Polenta, M. Poncet, L. Pozzetti, G. D. Racca, F. Raison, A. Renzi, J. Rhodes, E. Romelli, M. Roncarelli, E. Rossetti, R. Saglia, P. Schneider, V. Scottez, A. Secroun, G. Sirri, L. Stanco, J.-L. Starck, F. Sureau, P. Tallada-Crespí, D. Tavagnacco, A. N. Taylor, M. Tenti, I. Tereno, R. Toledo-Moreo, F. Torradeflot, L. Valenziano, T. Vassallo, G. A. Verdoes Kleijn, M. Viel, Y. Wang, A. Zacchei, J. Zoubian and E. Zucca A&A, 642 (2020) A191 DOI:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106197
Deposited By: George Porter
Deposited On:22 Oct 2020 15:21
Last Modified:16 Nov 2021 18:51

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