Euclid: Photometric redshift calibration with the clustering redshifts technique
This paper demonstrates that the clustering redshifts technique, utilizing small-scale angular clustering and spectroscopic reference samples from BOSS, DESI, and Euclid NISP, can successfully constrain the mean redshifts of Euclid tomographic bins to meet the mission's stringent precision requirements of σ(⟨z⟩)<0.002(1+z) by optimizing the pipeline and addressing biases such as the 1-halo galaxy distribution.
Original authors: W. d'Assignies (Institut de Física d'Altes Energies), M. Manera (Serra Húnter Fellow, Departament de Física, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain, Institut de Física d'Altes Energies), C. Padilla (Institut de Física d'Altes Energies), O. Ilbert (Aix-Marseille Université, CNRS, CNES, LAM, Marseille, France), H. Hildebrandt (Ruhr University Bochum, Faculty of Physics and Astronomy, Astronomical Institute), L. Reynolds (Institut de Física d'Altes Energies, Departament de Física, Universitat Autònoma de Barcelona, 08193 Bellaterra), J. Chaves-Montero (Institut de Física d'Altes Energies), A. H. Wright (Ruhr University Bochum, Faculty of Physics and Astronomy, Astronomical Institute), P. Tallada-Crespí (Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas, Port d'Informació Científica, Campus UAB, C. Albareda s/n, 08193 Bellaterra), M. Eriksen (Institut de Física d'Altes Energies, Port d'Informació Científica, Campus UAB, C. Albareda s/n, 08193 Bellaterra), J. Carretero (Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas, Port d'Informació Científica, Campus UAB, C. Albareda s/n, 08193 Bellaterra), W. Roster (Max Planck Institute for Extraterrestrial Physics, Giessenbachstr. 1, 85748 Garching, Germany), Y. Kang (Department of Astronomy, University of Geneva, ch. d'Ecogia 16, 1290 Versoix, Switzerland), K. Naidoo (Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth PO1 3FX, UK), R. Miquel (Institut de Física d'Altes Energies, Institució Catalana de Recerca i Estudis Avançats), B. Altieri (ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo, 28692 Villanueva de la Cañada, Madrid, Spain), A. Amara (School of Mathematics and Physics, University of Surrey, Guildford, Surrey, GU2 7XH, UK), S. Andreon (INAF-Osservatorio Astronomico di Brera, Via Brera 28, 20122 Milano, Italy), N. Auricchio (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy), C. Baccigalupi (IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy, INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy, INFN, Sezione di Trieste, Via Valerio 2, 34127 Trieste TS, Italy, SISSA, International School for Advanced Studies, Via Bonomea 265, 34136 Trieste TS, Italy), D. Bagot (Centre National d'Etudes Spatiales -- Centre spatial de Toulouse, 18 avenue Edouard Belin, 31401 Toulouse Cedex 9, France), M. Baldi (Dipartimento di Fisica e Astronomia, Università di Bologna, Via Gobetti 93/2, 40129 Bologna, Italy, INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy, INFN-Sezione di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy), A. Balestra (INAF-Osservatorio Astronomico di Padova, Via dell'Osservatorio 5, 35122 Padova, Italy), S. Bardelli (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy), P. Battaglia (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy), A. Biviano (INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy, IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy), E. Branchini (Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146, Genova, Italy, INFN-Sezione di Genova, Via Dodecaneso 33, 16146, Genova, Italy, INAF-Osservatorio Astronomico di Brera, Via Brera 28, 20122 Milano, Italy), M. Brescia (Department of Physics "E. Pancini", University Federico II, Via Cinthia 6, 80126, Napoli, Italy, INAF-Osservatorio Astronomico di Capodimonte, Via Moiariello 16, 80131 Napoli, Italy), S. Camera (Dipartimento di Fisica, Università degli Studi di Torino, Via P. Giuria 1, 10125 Torino, Italy, INFN-Sezione di Torino, Via P. Giuria 1, 10125 Torino, Italy, INAF-Osservatorio Astrofisico di Torino, Via Osservatorio 20, 10025 Pino Torinese), V. Capobianco (INAF-Osservatorio Astrofisico di Torino, Via Osservatorio 20, 10025 Pino Torinese), C. Carbone (INAF-IASF Milano, Via Alfonso Corti 12, 20133 Milano, Italy), V. F. Cardone (INAF-Osservatorio Astronomico di Roma, Via Frascati 33, 00078 Monteporzio Catone, Italy, INFN-Sezione di Roma, Piazzale Aldo Moro, 2 - c/o Dipartimento di Fisica, Edificio G. Marconi, 00185 Roma, Italy), S. Casas (Institute for Theoretical Particle Physics and Cosmology), F. J. Castander (Institute of Space Sciences, Institut d'Estudis Espacials de Catalunya), M. Castellano (INAF-Osservatorio Astronomico di Roma, Via Frascati 33, 00078 Monteporzio Catone, Italy), G. Castignani (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy), S. Cavuoti (INAF-Osservatorio Astronomico di Capodimonte, Via Moiariello 16, 80131 Napoli, Italy, INFN section of Naples, Via Cinthia 6, 80126, Napoli, Italy), K. C. Chambers (Institute for Astronomy, University of Hawaii, 2680 Woodlawn Drive, Honolulu, HI 96822, USA), A. Cimatti (Dipartimento di Fisica e Astronomia "Augusto Righi" - Alma Mater Studiorum Università di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy), C. Colodro-Conde (Instituto de Astrofísica de Canarias, Vía Láctea, 38205 La Laguna, Tenerife, Spain), G. Congedo (Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ, UK), C. J. Conselice (Jodrell Bank Centre for Astrophysics, Department of Physics and Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UK), L. Conversi (European Space Agency/ESRIN, Largo Galileo Galilei 1, 00044 Frascati, Roma, Italy, ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo, 28692 Villanueva de la Cañada, Madrid, Spain), Y. Copin (Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822, Villeurbanne, F-69100, France), F. Courbin (Institut de Ciències del Cosmos, Institució Catalana de Recerca i Estudis Avançats), H. M. Courtois (UCB Lyon 1, CNRS/IN2P3, IUF, IP2I Lyon, 4 rue Enrico Fermi, 69622 Villeurbanne, France), M. Crocce (Institute of Space Sciences, Institut d'Estudis Espacials de Catalunya), A. Da Silva (Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Edifício C8, Campo Grande, PT1749-016 Lisboa, Portugal, Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, 1749-016 Lisboa, Portugal), H. Degaudenzi (Department of Astronomy, University of Geneva, ch. d'Ecogia 16, 1290 Versoix, Switzerland), S. de la Torre (Aix-Marseille Université, CNRS, CNES, LAM, Marseille, France), G. De Lucia (INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy), M. Douspis (Université Paris-Saclay, CNRS, Institut d'astrophysique spatiale, 91405, Orsay, France), X. Dupac (ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo, 28692 Villanueva de la Cañada, Madrid, Spain), A. Ealet (Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822, Villeurbanne, F-69100, France), S. Escoffier (Aix-Marseille Université, CNRS/IN2P3, CPPM, Marseille, France), M. Farina (INAF-Istituto di Astrofisica e Planetologia Spaziali, via del Fosso del Cavaliere, 100, 00100 Roma, Italy), F. Faustini (INAF-Osservatorio Astronomico di Roma, Via Frascati 33, 00078 Monteporzio Catone, Italy, Space Science Data Center, Italian Space Agency, via del Politecnico snc, 00133 Roma, Italy), S. Ferriol (Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822, Villeurbanne, F-69100, France), F. Finelli (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy, INFN-Bologna, Via Irnerio 46, 40126 Bologna, Italy), P. Fosalba (Institut d'Estudis Espacials de Catalunya, Institute of Space Sciences), S. Fotopoulou (School of Physics, HH Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol, BS8 1TL, UK), M. Frailis (INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy), E. Franceschi (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy), M. Fumana (INAF-IASF Milano, Via Alfonso Corti 12, 20133 Milano, Italy), S. Galeotta (INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy), K. George (Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München, Scheinerstrasse 1, 81679 München, Germany), B. Gillis (Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ, UK), C. Giocoli (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy, INFN-Sezione di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy), P. Gómez-Alvarez (FRACTAL S.L.N.E., calle Tulipán 2, Portal 13 1A, 28231, Las Rozas de Madrid, Spain, ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo, 28692 Villanueva de la Cañada, Madrid, Spain), J. Gracia-Carpio (Max Planck Institute for Extraterrestrial Physics, Giessenbachstr. 1, 85748 Garching, Germany), A. Grazian (INAF-Osservatorio Astronomico di Padova, Via dell'Osservatorio 5, 35122 Padova, Italy), F. Grupp (Max Planck Institute for Extraterrestrial Physics, Giessenbachstr. 1, 85748 Garching, Germany, Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München, Scheinerstrasse 1, 81679 München, Germany), W. Holmes (Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA, 91109, USA), I. M. Hook (Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK), A. Hornstrup (Technical University of Denmark, Elektrovej 327, 2800 Kgs. Lyngby, Denmark, Cosmic Dawn Center), K. Jahnke (Max-Planck-Institut für Astronomie, Königstuhl 17, 69117 Heidelberg, Germany), M. Jhabvala (NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA), B. Joachimi (Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, UK), E. Keihänen (Department of Physics and Helsinki Institute of Physics, Gustaf Hällströmin katu 2, 00014 University of Helsinki, Finland), S. Kermiche (Aix-Marseille Université, CNRS/IN2P3, CPPM, Marseille, France), A. Kiessling (Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA, 91109, USA), B. Kubik (Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822, Villeurbanne, F-69100, France), M. Kümmel (Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München, Scheinerstrasse 1, 81679 München, Germany), M. Kunz (Université de Genève, Département de Physique Théorique and Centre for Astroparticle Physics, 24 quai Ernest-Ansermet, CH-1211 Genève 4, Switzerland), H. Kurki-Suonio (Department of Physics, P.O. Box 64, 00014 University of Helsinki, Finland, Helsinki Institute of Physics, Gustaf Hällströmin katu 2, University of Helsinki, Helsinki, Finland), O. Lahav (Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, UK), A. M. C. Le Brun (Laboratoire d'etude de l'Univers et des phenomenes eXtremes, Observatoire de Paris, Université PSL, Sorbonne Université, CNRS, 92190 Meudon, France), S. Ligori (INAF-Osservatorio Astrofisico di Torino, Via Osservatorio 20, 10025 Pino Torinese), P. B. Lilje (Institute of Theoretical Astrophysics, University of Oslo, P.O. Box 1029 Blindern, 0315 Oslo, Norway), V. Lindholm (Department of Physics, P.O. Box 64, 00014 University of Helsinki, Finland, Helsinki Institute of Physics, Gustaf Hällströmin katu 2, University of Helsinki, Helsinki, Finland), I. Lloro (SKA Observatory, Jodrell Bank, Lower Withington, Macclesfield, Cheshire SK11 9FT, UK), G. Mainetti (Centre de Calcul de l'IN2P3/CNRS, 21 avenue Pierre de Coubertin 69627 Villeurbanne Cedex, France), D. Maino (Dipartimento di Fisica "Aldo Pontremoli", Università degli Studi di Milano, Via Celoria 16, 20133 Milano, Italy, INAF-IASF Milano, Via Alfonso Corti 12, 20133 Milano, Italy, INFN-Sezione di Milano, Via Celoria 16, 20133 Milano, Italy), E. Maiorano (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy), O. Mansutti (INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy), S. Marcin (University of Applied Sciences and Arts of Northwestern Switzerland, School of Computer Science, 5210 Windisch, Switzerland), O. Marggraf (Universität Bonn, Argelander-Institut für Astronomie, Auf dem Hügel 71, 53121 Bonn, Germany), K. Markovic (Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA, 91109, USA), M. Martinelli (INAF-Osservatorio Astronomico di Roma, Via Frascati 33, 00078 Monteporzio Catone, Italy, INFN-Sezione di Roma, Piazzale Aldo Moro, 2 - c/o Dipartimento di Fisica, Edificio G. Marconi, 00185 Roma, Italy), N. Martinet (Aix-Marseille Université, CNRS, CNES, LAM, Marseille, France), F. Marulli (Dipartimento di Fisica e Astronomia "Augusto Righi" - Alma Mater Studiorum Università di Bologna, via Piero Gobetti 93/2, 40129 Bologna, Italy, INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy, INFN-Sezione di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy), R. Massey (Department of Physics, Institute for Computational Cosmology, Durham University, South Road, Durham, DH1 3LE, UK), D. C. Masters (Infrared Processing and Analysis Center, California Institute of Technology, Pasadena, CA 91125, USA), E. Medinaceli (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy), S. Mei (Université Paris Cité, CNRS, Astroparticule et Cosmologie, 75013 Paris, France, CNRS-UCB International Research Laboratory, Centre Pierre Binétruy, IRL2007, CPB-IN2P3, Berkeley, USA), M. Melchior (University of Applied Sciences and Arts of Northwestern Switzerland, School of Engineering, 5210 Windisch, Switzerland), Y. Mellier (Institut d'Astrophysique de Paris, 98bis Boulevard Arago, 75014, Paris, France, Institut d'Astrophysique de Paris, UMR 7095, CNRS, and Sorbonne Université, 98 bis boulevard Arago, 75014 Paris, France), M. Meneghetti (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy, INFN-Sezione di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy), E. Merlin (INAF-Osservatorio Astronomico di Roma, Via Frascati 33, 00078 Monteporzio Catone, Italy), G. Meylan (Institute of Physics, Laboratory of Astrophysics, Ecole Polytechnique Fédérale de Lausanne), A. Mora (Telespazio UK S.L. for European Space Agency), M. Moresco (Dipartimento di Fisica e Astronomia "Augusto Righi" - Alma Mater Studiorum Università di Bologna, via Piero Gobetti 93/2, 40129 Bologna, Italy, INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy), L. Moscardini (Dipartimento di Fisica e Astronomia "Augusto Righi" - Alma Mater Studiorum Università di Bologna, via Piero Gobetti 93/2, 40129 Bologna, Italy, INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy, INFN-Sezione di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy), C. Neissner (Institut de Física d'Altes Energies, Port d'Informació Científica, Campus UAB, C. Albareda s/n, 08193 Bellaterra), S. -M. Niemi (European Space Agency/ESTEC, Keplerlaan 1, 2201 AZ Noordwijk, The Netherlands), S. Paltani (Department of Astronomy, University of Geneva, ch. d'Ecogia 16, 1290 Versoix, Switzerland), F. Pasian (INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy), K. Pedersen (DARK, Niels Bohr Institute, University of Copenhagen, Jagtvej 155, 2200 Copenhagen, Denmark), V. Pettorino (European Space Agency/ESTEC, Keplerlaan 1, 2201 AZ Noordwijk, The Netherlands), S. Pires (Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM, 91191, Gif-sur-Yvette, France), G. Polenta (Space Science Data Center, Italian Space Agency, via del Politecnico snc, 00133 Roma, Italy), M. Poncet (Centre National d'Etudes Spatiales -- Centre spatial de Toulouse, 18 avenue Edouard Belin, 31401 Toulouse Cedex 9, France), L. A. Popa (Institute of Space Science, Str. Atomistilor, nr. 409 Măgurele, Ilfov, 077125, Romania), L. Pozzetti (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy), F. Raison (Max Planck Institute for Extraterrestrial Physics, Giessenbachstr. 1, 85748 Garching, Germany), R. Rebolo (Instituto de Astrofísica de Canarias, Vía Láctea, 38205 La Laguna, Tenerife, Spain, Consejo Superior de Investigaciones Cientificas, Calle Serrano 117, 28006 Madrid, Spain, Universidad de La Laguna, Departamento de Astrofísica, 38206 La Laguna, Tenerife, Spain), A. Renzi (Dipartimento di Fisica e Astronomia "G. Galilei", Università di Padova, Via Marzolo 8, 35131 Padova, Italy, INFN-Padova, Via Marzolo 8, 35131 Padova, Italy), J. Rhodes (Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA, 91109, USA), G. Riccio (INAF-Osservatorio Astronomico di Capodimonte, Via Moiariello 16, 80131 Napoli, Italy), E. Romelli (INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy), M. Roncarelli (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy), E. Rossetti (Dipartimento di Fisica e Astronomia, Università di Bologna, Via Gobetti 93/2, 40129 Bologna, Italy), R. Saglia (Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München, Scheinerstrasse 1, 81679 München, Germany, Max Planck Institute for Extraterrestrial Physics, Giessenbachstr. 1, 85748 Garching, Germany), Z. Sakr (Institut für Theoretische Physik, University of Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany, Institut de Recherche en Astrophysique et Planétologie, Université St Joseph, Faculty of Sciences, Beirut, Lebanon), D. Sapone (Departamento de Física, FCFM, Universidad de Chile, Blanco Encalada 2008, Santiago, Chile), B. Sartoris (Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München, Scheinerstrasse 1, 81679 München, Germany, INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy), J. A. Schewtschenko (Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ, UK), P. Schneider (Universität Bonn, Argelander-Institut für Astronomie, Auf dem Hügel 71, 53121 Bonn, Germany), T. Schrabback (Universität Innsbruck, Institut für Astro- und Teilchenphysik, Technikerstr. 25/8, 6020 Innsbruck, Austria), A. Secroun (Aix-Marseille Université, CNRS/IN2P3, CPPM, Marseille, France), E. Sefusatti (INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy, IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy, INFN, Sezione di Trieste, Via Valerio 2, 34127 Trieste TS, Italy), G. Seidel (Max-Planck-Institut für Astronomie, Königstuhl 17, 69117 Heidelberg, Germany), M. Seiffert (Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA, 91109, USA), S. Serrano (Institut d'Estudis Espacials de Catalunya, Satlantis, University Science Park, Sede Bld 48940, Leioa-Bilbao, Spain, Institute of Space Sciences), P. Simon (Universität Bonn, Argelander-Institut für Astronomie, Auf dem Hügel 71, 53121 Bonn, Germany), C. Sirignano (Dipartimento di Fisica e Astronomia "G. Galilei", Università di Padova, Via Marzolo 8, 35131 Padova, Italy, INFN-Padova, Via Marzolo 8, 35131 Padova, Italy), G. Sirri (INFN-Sezione di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy), A. Spurio Mancini (Department of Physics, Royal Holloway, University of London, TW20 0EX, UK), L. Stanco (INFN-Padova, Via Marzolo 8, 35131 Padova, Italy), J. Steinwagner (Max Planck Institute for Extraterrestrial Physics, Giessenbachstr. 1, 85748 Garching, Germany), D. Tavagnacco (INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy), A. N. Taylor (Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ, UK), H. I. Teplitz (Infrared Processing and Analysis Center, California Institute of Technology, Pasadena, CA 91125, USA), I. Tereno (Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Edifício C8, Campo Grande, PT1749-016 Lisboa, Portugal, Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências, Universidade de Lisboa, Tapada da Ajuda, 1349-018 Lisboa, Portugal), N. Tessore (Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, UK), S. Toft (Cosmic Dawn Center, Niels Bohr Institute, University of Copenhagen, Jagtvej 128, 2200 Copenhagen, Denmark), R. Toledo-Moreo (Universidad Politécnica de Cartagena, Departamento de Electrónica y Tecnología de Computadoras, Plaza del Hospital 1, 30202 Cartagena, Spain), F. Torradeflot (Port d'Informació Científica, Campus UAB, C. Albareda s/n, 08193 Bellaterra, Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas), A. Tsyganov (Centre for Information Technology, University of Groningen, P.O. Box 11044, 9700 CA Groningen, The Netherlands), I. Tutusaus (Institut de Recherche en Astrophysique et Planétologie), L. Valenziano (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy, INFN-Bologna, Via Irnerio 46, 40126 Bologna, Italy), J. Valiviita (Department of Physics, P.O. Box 64, 00014 University of Helsinki, Finland, Helsinki Institute of Physics, Gustaf Hällströmin katu 2, University of Helsinki, Helsinki, Finland), T. Vassallo (Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München, Scheinerstrasse 1, 81679 München, Germany, INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy), G. Verdoes Kleijn (Kapteyn Astronomical Institute, University of Groningen, PO Box 800, 9700 AV Groningen, The Netherlands), Y. Wang (Infrared Processing and Analysis Center, California Institute of Technology, Pasadena, CA 91125, USA), J. Weller (Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München, Scheinerstrasse 1, 81679 München, Germany, Max Planck Institute for Extraterrestrial Physics, Giessenbachstr. 1, 85748 Garching, Germany), G. Zamorani (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy), E. Zucca (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy), M. Bolzonella (INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129 Bologna, Italy), C. Burigana (INAF, Istituto di Radioastronomia, Via Piero Gobetti 101, 40129 Bologna, Italy, INFN-Bologna, Via Irnerio 46, 40126 Bologna, Italy), L. Gabarra (Department of Physics, Oxford University, Keble Road, Oxford OX1 3RH, UK), J. Martín-Fleitas (Aurora Technology for European Space Agency), I. Risso (INAF-Osservatorio Astronomico di Brera, Via Brera 28, 20122 Milano, Italy, and INFN-Sezione di Genova, Via Dodecaneso 33, 16146, Genova, Italy), V. Scottez (Institut d'Astrophysique de Paris, 98bis Boulevard Arago, 75014, Paris, France, ICL, Junia, Université Catholique de Lille, LITL, 59000 Lille, France), M. Viel (IFPU, Institute for Fundamental Physics of the Universe, via Beirut 2, 34151 Trieste, Italy, INAF-Osservatorio Astronomico di Trieste, Via G. B. Tiepolo 11, 34143 Trieste, Italy, SISSA, International School for Advanced Studies, Via Bonomea 265, 34136 Trieste TS, Italy, INFN, Sezione di Trieste, Via Valerio 2, 34127 Trieste TS, Italy, ICSC - Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing, Via Magnanelli 2, Bologna, Italy)
Original paper licensed under CC BY 4.0 (http://creativecommons.org/licenses/by/4.0/). ✨ This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer
Imagine the Euclid space telescope as a massive, high-speed camera taking a panoramic photo of billions of galaxies across the universe. To understand the story of the universe—how it expands, how dark energy works, and how dark matter holds it together—scientists need to know not just where these galaxies are, but how far away they are.
In astronomy, distance is measured by "redshift" (how much the light from a galaxy has stretched as the universe expands). However, getting an exact distance for every single galaxy is like trying to interview every single person in a crowded stadium; it's too slow and expensive. Instead, astronomers use a "best guess" method based on the galaxy's color (photometric redshift). But these guesses can be blurry, like a photo taken in the fog.
This paper is about a new, sharper way to clear up that fog using a technique called clustering-redshifts.
The Core Idea: The "Party Guest" Analogy
Think of the universe as a giant party.
- The Photometric Galaxies are the guests we can see from far away, but we don't know exactly who they are or where they came from. We just know they are in the room.
- The Spectroscopic Galaxies are a small group of VIPs who have been thoroughly interviewed. We know their exact names, ages, and hometowns (their precise distances).
The problem is: We have a huge crowd of "mystery guests" (photometric), and we need to figure out their average age and distance. We can't interview them all.
The Clustering-Redshifts Solution:
Instead of interviewing the mystery guests, we look at how they stand near the VIPs.
- If a mystery guest is standing right next to a VIP from "Redshift Town 1," it's highly likely the mystery guest is also from "Redshift Town 1."
- If they are standing near a VIP from "Redshift Town 2," they are likely from there too.
By measuring how tightly the mystery guests cluster around the known VIPs at different distances, we can statistically reconstruct the true distance distribution of the whole crowd.
What This Paper Did
The authors didn't just theorize about this; they built a massive virtual universe (called the "Flagship 2 simulation") to test if this method works well enough for the Euclid mission. They created a fake universe with 4 trillion particles and billions of galaxies, then ran their "clustering" test on it to see if they could recover the true distances.
Here are the key findings, explained simply:
1. The "One-Halo" Problem (The "Family Unit" Issue)
At very small scales, galaxies often live in groups or "halos" (like families living in the same house). Sometimes, different types of galaxies (like red and blue ones) don't mix well within these tiny family units.
- The Fix: The team found that if they looked at galaxies too close together (less than 1.5 million light-years), the math got messy and inaccurate because of these family dynamics. They decided to ignore the "close neighbors" and only look at galaxies that are a bit further apart. This made the results much cleaner.
2. Finding the Right "Zoom" Level
Just like taking a photo, you need the right zoom level.
- Too zoomed in: You see too much noise and family quirks (the one-halo problem).
- Too zoomed out: You lose the detail needed to tell the VIPs apart from the crowd.
- The Sweet Spot: They found that looking at scales between 1.5 and 5 million light-years was the perfect balance. It gave them the clearest signal without the noise.
3. Fixing the "Bias" (The Weight Problem)
In this analogy, some types of galaxies are "heavier" (more clustered) than others. If you don't account for this weight, your distance calculation will be off.
- The Innovation: The paper introduced a new, better way to measure this "weight" (galaxy bias) for the mystery guests. They tested several methods and found one (called M3) that worked almost as well as knowing the true distances perfectly. It's like having a very accurate scale to weigh the mystery guests without actually weighing them individually.
4. The Result: Meeting the Goal
The Euclid mission has a strict rule: The average distance guess for any group of galaxies must be accurate to within a tiny margin of error (less than 0.2% of the distance).
- The Verdict: Using their optimized method, the team successfully hit this target. They could reconstruct the true distance distribution of the galaxies with high precision. In fact, their results were better than previous attempts, proving that this "party guest" method is robust and ready for the real Euclid data.
Why This Matters
This paper is essentially a "stress test" for a critical tool. Before the real Euclid telescope data comes in, the scientists needed to know: Can we trust this clustering method to give us the right answers?
The answer is yes. They showed that by carefully choosing which galaxies to compare, ignoring the "too close" ones, and using a new way to weigh the data, they can map the universe's structure with the precision required to solve the mysteries of dark energy and dark matter.
In short: They built a virtual universe, tested a new way to measure cosmic distances by looking at how galaxies group together, fixed the errors they found, and proved that this method is accurate enough to help us understand the fate of the universe.
Technical Summary: Euclid: Photometric redshift calibration performance with the clustering-redshifts technique in the Flagship 2 simulation
Problem Statement
The precision of cosmological constraints derived from imaging surveys like Euclid relies critically on the accurate estimation of the redshift distribution, n(z), for tomographic bins of galaxies. Specifically, the uncertainty on the mean redshift, σ(⟨z⟩), must remain below 0.002(1+z) at 68% confidence to meet Euclid's science requirements. While spectroscopic redshifts are precise, they are too costly to obtain for the billions of galaxies in imaging surveys. Photometric redshifts (photo-z) offer a solution but suffer from degeneracies between colors and redshifts and limitations in representative training samples. Clustering-redshifts (clustering-z) techniques offer an alternative by statistically inferring redshift distributions through angular cross-correlations between photometric samples and spectroscopic samples with secure redshifts. However, previous studies (e.g., Naidoo et al. 2023) identified residual systematic biases, particularly at high redshifts, and highlighted challenges in measuring photometric galaxy bias and modeling small-scale clustering effects.
Methodology
This study evaluates the effectiveness of the clustering-redshifts technique using 5000 deg2 of simulated data from the Euclid Flagship 2 simulation (Castander et al. 2025). The authors generated realistic mock samples for Euclid photometric galaxies, Euclid NISP spectroscopic galaxies, and external spectroscopic tracers (BOSS, DESI, and 4MOST).
The methodology involved:
- Pipeline Optimization: The authors tested various components of the clustering-z pipeline, including different angular correlation estimators, scale ranges, and weighting schemes.
- Bias Correction: A primary focus was developing and testing new methods to measure the photometric galaxy bias (bp), which is the main limitation of the technique. They introduced methods (M3 and M4) that measure bias in smaller photo-z bins and interpolate the evolution, comparing these against existing methods (M0–M2) and an idealized "full correction" (M5) using true redshifts.
- Systematic Error Analysis: The study investigated several sources of systematic bias:
- Small-scale effects: The impact of the one-halo regime and non-linear galaxy-halo connections on cross-correlations.
- Modeling approximations: Comparing Dirac, Limber-1-bin, and "three-bins" approximations for the spectroscopic redshift distribution.
- Physical effects: The impact of magnification and Redshift Space Distortions (RSD).
- Redshift Reconstruction: Two distinct approaches were used to extract moments (⟨z⟩ and σz) from the discrete measurements: a parametric "shifted-stretched" model (SSM) and a non-parametric suppressed Gaussian Process (SGP) method.
Key Contributions
- Optimal Scale Range: The authors determined that a projected scale range of 1.5<rp<5 Mpc is optimal. This range avoids the one-halo regime (where rp<1.5 Mpc introduces biases due to galaxy-halo physics) while maintaining sufficient signal-to-noise ratio (SNR), and remains distinct from the scales used in primary cosmological analyses.
- Photometric Bias Measurement: The paper introduces and validates method M3, which measures photometric bias in larger photo-z bins (Δzphoto=0.1) and fits the redshift evolution. This method performs comparably to the idealized M5 (using true redshifts) and significantly outperforms previous partial correction methods.
- Spectroscopic Slicing: The study identifies an optimal spectroscopic redshift slicing of Δz≈0.05, balancing the need for sufficient data points against the systematic errors introduced by bin modeling and physical effects like magnification.
- Estimator Choice: The authors advocate for the integrated pair-count estimator (Eq. 57), which integrates the ratio of data-random pair counts, over the ratio of integrated counts, finding it offers better mask correction and straightforward weighting interpretation.
- Tracer Separation: The paper recommends using a single type of spectroscopic tracer (e.g., ELGs or LRGs) for cross-correlations at a specific redshift to avoid biases arising from different galaxy-halo connection properties (e.g., the "conformity" effect between red and blue galaxies).
Results
- Precision: The optimized pipeline successfully constrained the mean redshifts and standard deviations for all ten tomographic bins (up to zphoto=1.6).
- Requirement Satisfaction: Using the SSM approach, the method met or exceeded the Euclid requirement of σ(⟨z⟩)<0.002(1+z) for all bins and patches. The conservative SGP method yielded comparable results but showed slightly larger deviations for specific bins (1, 3, and 7), though these were still within an acceptable range given the simulation constraints.
- Bias Mitigation: The study identified the "one-bin approximation" (neglecting correlations with neighboring spectroscopic slices) and the one-halo regime as the primary sources of bias. By restricting scales to >1.5 Mpc and using the M3 bias correction, these biases were reduced to levels consistent with requirements.
- Comparison to Previous Work: The results demonstrate a significant improvement over the previous Flagship 1 study (Naidoo et al. 2023), achieving lower mean redshift biases and tighter constraints. This improvement is attributed to the larger simulation volume, the optimized scale range, the new bias correction methods, and the separation of spectroscopic tracers.
Significance
The paper claims that the clustering-redshifts technique is a robust and viable core component for the redshift calibration of the Euclid mission. The study demonstrates that, with the optimized pipeline and realistic mock data, the technique can meet the stringent precision requirements necessary for Euclid's weak lensing and galaxy clustering analyses. The authors highlight that while the current results are optimistic (relying on simulations and specific bias corrections), the identification of systematic sources (like one-halo effects and interlopers) and the development of mitigation strategies provide a clear path forward for the actual data analysis. The work establishes a fiducial framework (scale range, bias correction, tracer selection) that can be applied to real Euclid data to ensure the accuracy of cosmological constraints.
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