Euclid preparation: 6x2 pt analysis of Euclid's spectroscopic and photometric data sets
Abstract
We present cosmological parameter forecasts for the Euclid 6x2pt statistics, which include the galaxy clustering and weak lensing main probes together with previously neglected cross-covariance and cross-correlation signals between imaging/photometric and spectroscopic data. The aim is understanding the impact of such terms on the Euclid performance. We produce 6x2pt cosmological forecasts, considering two different techniques: the so-called harmonic and hybrid approaches, respectively. In the first, we treat all the different Euclid probes in the same way, i.e. we consider only angular 2pt-statistics for spectroscopic and photometric clustering, as well as for weak lensing, analysing all their possible cross-covariances and cross-correlations in the spherical harmonic domain. In the second, we do not account for negligible cross-covariances between the 3D and 2D data, but consider the combination of their cross-correlation with the auto-correlation signals. We find that both cross-covariances and cross-correlation signals, have a negligible impact on the cosmological parameter constraints and, therefore, on the Euclid performance. In the case of the hybrid approach, we attribute this result to the effect of the cross-correlation between weak lensing and photometric data, which is dominant with respect to other cross-correlation signals. In the case of the 2D harmonic approach, we attribute this result to two main theoretical limitations of the 2D projected statistics implemented in this work according to the analysis of official Euclid forecasts: the high shot noise and the limited redshift range of the spectroscopic sample, together with the loss of radial information from subleading terms such as redshift-space distortions and lensing magnification. Our analysis suggests that 2D and 3D Euclid data can be safely treated as independent, with a great saving in computational resources.
Keywords
Cite
@article{arxiv.2409.18882,
title = {Euclid preparation: 6x2 pt analysis of Euclid's spectroscopic and photometric data sets},
author = {Euclid Collaboration and L. Paganin and M. Bonici and C. Carbone and S. Camera and I. Tutusaus and S. Davini and J. Bel and S. Tosi and D. Sciotti and S. Di Domizio and I. Risso and G. Testera and D. Sapone and Z. Sakr and A. Amara and S. Andreon and N. Auricchio and C. Baccigalupi and M. Baldi and S. Bardelli and P. Battaglia and R. Bender and F. Bernardeau and C. Bodendorf and D. Bonino and E. Branchini and M. Brescia and J. Brinchmann and V. Capobianco and V. F. Cardone and J. Carretero and S. Casas and M. Castellano and G. Castignani and S. Cavuoti and A. Cimatti and C. Colodro-Conde and G. Congedo and C. J. Conselice and L. Conversi and Y. Copin and L. Corcione and A. Costille and F. Courbin and H. M. Courtois and M. Crocce and M. Cropper and A. Da Silva and H. Degaudenzi and G. De Lucia and A. M. Di Giorgio and J. Dinis and F. Dubath and C. A. J. Duncan and X. Dupac and S. Dusini and A. Ealet and M. Farina and S. Farrens and S. Ferriol and M. Frailis and E. Franceschi and S. Galeotta and B. Garilli and K. George and W. Gillard and B. Gillis and C. Giocoli and A. Grazian and F. Grupp and L. Guzzo and S. V. H. Haugan and W. Holmes and I. Hook and F. Hormuth and A. Hornstrup and S. Ilić and K. Jahnke and B. Joachimi and E. Keihänen and S. Kermiche and A. Kiessling and M. Kilbinger and T. Kitching and B. Kubik and M. Kümmel and M. Kunz and H. Kurki-Suonio and S. Ligori and P. B. Lilje and V. Lindholm and I. Lloro and G. Mainetti and D. Maino and E. Maiorano and O. Mansutti and O. Marggraf and K. Markovic and M. Martinelli and N. Martinet and F. Marulli and R. Massey and H. J. McCracken and E. Medinaceli and S. Mei and Y. Mellier and M. Meneghetti and E. Merlin and G. Meylan and M. Moresco and L. Moscardini and E. Munari and S. -M. Niemi and J. W. Nightingale and C. Padilla and S. Paltani and F. Pasian and K. Pedersen and W. J. Percival and V. Pettorino and S. Pires and G. Polenta and M. Poncet and L. A. Popa and L. Pozzetti and F. Raison and R. Rebolo and A. Renzi and J. Rhodes and G. Riccio and E. Romelli and M. Roncarelli and E. Rossetti and R. Saglia and B. Sartoris and P. Schneider and T. Schrabback and M. Scodeggio and A. Secroun and G. Seidel and S. Serrano and C. Sirignano and G. Sirri and L. Stanco and J. -L. Starck and J. Steinwagner and C. Surace and P. Tallada-Crespí and D. Tavagnacco and A. N. Taylor and I. Tereno and R. Toledo-Moreo and F. Torradeflot and E. A. Valentijn and L. Valenziano and T. Vassallo and A. Veropalumbo and Y. Wang and J. Weller and A. Zacchei and G. Zamorani and J. Zoubian and E. Zucca and A. Biviano and A. Boucaud and E. Bozzo and C. Burigana and M. Calabrese and D. Di Ferdinando and G. Fabbian and R. Farinelli and J. Graciá-Carpio and N. Mauri and V. Scottez and M. Tenti and M. Viel and M. Wiesmann and Y. Akrami and V. Allevato and S. Anselmi and M. Ballardini and A. Blanchard and S. Borgani and S. Bruton and R. Cabanac and A. Calabro and A. Cappi and C. S. Carvalho and T. Castro and G. Cañas-Herrera and K. C. Chambers and S. Contarini and A. R. Cooray and J. Coupon and G. Desprez and H. Dole and A. Díaz-Sánchez and J. A. Escartin Vigo and S. Escoffier and P. G. Ferreira and I. Ferrero and F. Finelli and F. Fornari and L. Gabarra and K. Ganga and J. García-Bellido and E. Gaztanaga and F. Giacomini and G. Gozaliasl and A. Gregorio and A. Hall and H. Hildebrandt and J. Hjorth and J. J. E. Kajava and V. Kansal and D. Karagiannis and C. C. Kirkpatrick and L. Legrand and A. Loureiro and J. Macias-Perez and G. Maggio and M. Magliocchetti and F. Mannucci and R. Maoli and C. J. A. P. Martins and S. Matthew and L. Maurin and R. B. Metcalf and M. Migliaccio and P. Monaco and G. Morgante and S. Nadathur and L. Patrizii and A. Pezzotta and V. Popa and C. Porciani and D. Potter and M. Pöntinen and P. -F. Rocci and M. Sahlén and A. Schneider and M. Schultheis and M. Sereno and C. Tao and N. Tessore and R. Teyssier and S. Toft and A. Troja and M. Tucci and C. Valieri and J. Valiviita and D. Vergani and G. Verza and P. Vielzeuf},
journal= {arXiv preprint arXiv:2409.18882},
year = {2024}
}
Comments
32 pages, 20 figures. Comments are welcome