Euclid preparation. LXXXVII. Non-Gaussianity of two-point statistics likelihood: Precise analysis of the matter power spectrum distribution

We investigate the non-Gaussian features in the distribution of the matter power spectrum multipoles. Using the ̧ovmos method, we generated 100,000 mock realisations of dark matter density fields in both real and redshift space across multiple redshifts and cosmological models. We derived an analytical framework linking the non-Gaussianity of the power spectrum distribution to higher-order statistics of the density field, including the trispectrum and pentaspectrum. We explored the effect of redshift-space distortions, the geometry of the survey, the Fourier binning, the integral constraint, and the shot noise on the skewness of the distribution of the power spectrum measurements. Our results demonstrate that the likelihood of the estimated matter power spectrum significantly deviates from a Gaussian assumption on non-linear scales, particularly at low redshift. This departure is primarily driven by the pentaspectrum contribution, which dominates over the trispectrum at intermediate scales. We also examined the impact of the finiteness of the survey geometry in the context of the Euclid mission, and we find that both the shape of the survey and the integral constraint amplify the skewness.

Authors

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2026-01-20
DOI
https://doi.org/10.1051/0004-6361/202556642/pdf
Primary Topic
Galaxies: Formation, Evolution, Phenomena
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Euclid preparation. LXXXVII. Non-Gaussianity of two-point statistics likelihood: Precise analysis of the matter power spectrum distribution

Diego Jm, V.F. CARDONE, A. Costille, A.R. Cooray et al.
Springer Link (Chiba Institute of Technology)
Galaxies: Formation, Evolution, Phenomena
article

Euclid preparation. LXXXVII. Non-Gaussianity of two-point statistics likelihood: Precise analysis of the matter power spectrum distribution

Diego Jm, V.F. CARDONE, A. Costille, A.R. Cooray, I.T Andika, J.E. Kajava, G.F Lesci, P.B. Lilje, J. García-Bellido, M. Seiffert, P. Simon, S. Serrano, E. Maiorano, E. Medinaceli, H. Hildebrandt, B. Gillis, T. Vassallo, H. Degaudenzi, K. Jahnke, S. Quai, S. Camera, D. Vergani, S. Bruton, L. Valenziano, S.-M. Niemi, J. Martín-Fleitas, A.G. Ferrari, A. Enia, K. George, M. Tenti, E. Branchini, S. Ferriol, R. Toledo-Moreo, A. Blanchard, F. Dubath, P. Reimberg, S. Nadathur, S.V.H. Haugan, L. Gabarra, W.J. Percival, D. Di Ferdinando, S. Pires, A. Pisani, Z. Sakr, F. Courbin, S. Anselmi, A. Mora, M. Frailis, L. Legrand, E. Zucca, D. Potter, S. Bardelli, G. Gozaliasl, L. Pagano, N. Fourmanoit, N. Martinet, W. Gillard, M. Sahlén, I. Risso, A. Calabro, S. de la Torre, S. Alvi, S. Davini, G. Verza, S. Cavuoti, L. Maurin, G. Morgante, F. Vernizzi, J. Weller, G. Congedo, A.M.C. Le Brun, K. Tanidis, M. Scodeggio, O. Marggraf, G. Seidel, A. Cimatti, A. Veropalumbo, R. Farinelli, M. Miluzio, A. Díaz-Sánchez, Y. Fang, J. Lesgourgues, S. Gouyou Beauchamps, M. Fumana, C.A.J. Duncan, C. Porciani, C.J. Conselice, F. Torradeflot, N.A. Walton, F. Lepori, I. Tutusaus, F. Finelli, C. Kirkpatrick, C. Giocoli, M. Farina, S. Andreon, A. Renzi, L. Moscardini, J. Valiviita, J. Gracia-Carpio, C. Baccigalupi, E. Romelli, V. Scottez, A. Hornstrup, F. Cogato, D. Sciotti, H.M. Courtois, F. Pasian, R. Massey, A. Pezzotta, S. Escoffier, K. Markovic, A. Secroun, M.L. Brown, R. Saglia, K. Pedersen, C. Carbone, F. Raison, E. Sellentin, E. Sefusatti, G. Meylan, Y. Wang, M. Castellano, B. Kubik, C. Tao, B. Camacho Quevedo, S. Matthew, M. Kunz, G. Castignani, V. Pettorino, F. Giacomini, I. Lloro, J. Rhodes, K. Naidoo, M. Meneghetti, E. Keihänen, M. Bethermin, K. Paterson, B. Sartoris, M. Wiesmann, P.-F. Rocci, A. Troja, X. Dupac, A. Hall, J. Macias-Perez, S. Kruk, M. Viel, A.N. Taylor, J. Bel, A. Franco, V. Kansal, P. Vielzeuf, A. Da Silva, L. Leuzzi, D. Sapone, F. Mannucci, F. Caro, E. Merlin, J. Steinwagner, S. Toft, G. Maggio, L.A. Popa, D. Maino, S. Ligori, R. Cabanac, B. Joachimi, L. Patrizii, M. Radovich, E. Sarpa, Y. Copin, J.A. Escartin Vigo, C. Colodro-Conde, G. Sirri, R. Teyssier, J. Le Graet, T.I. Liaudat, S. Borgani, M. Magliocchetti, M. Tucci, T. Gasparetto, A.G. Sánchez, V. Gautard, H. Kurki-Suonio, A. Finoguenov, S. Paltani, F. Marulli, K. Kiiveri, C.M. Gutierrez, M. Lembo, G. Polenta, C. Burigana, D. Bertacca, G. Cañas-Herrera, D. Karagiannis, F. Faustini, F. Passalacqua, S. Galeotta, L.C. Smith, A. Costille, P. Baratta, D.B. Sanders, C. Neissner, J. Hjorth, P. Schneider, Y. Kang, E. Gaztanaga, G. Rodighiero, L. Blot, M. Calabrese, F. Gianotti, J. Carretero, S. Casas, C. Moretti, R. Maoli, S. Sacquegna, M. Martinelli, I. Tereno, G. Leroy, N. Mauri, W. Holmes, Y. Akrami, M. Brescia, N. Tessore, L. Guzzo, F. Grupp, P. Monaco, A. Venhola, G. Testera, M. Baldi, C.J.A.P. Martins, J.G. Sorce, S. Di Domizio, C. Valieri, E. Bozzo, G. De Lucia, J. Diaz, V. Capobianco, S. Tosi, M. Sereno, C. Sirignano, G. Desprez, A. Navarro-Alsina, M. Lattanzi, M. Ballardini, M. Jhabvala, Y. Mellier, O. Mansutti, A. Schneider, M. Roncarelli, A. Biviano, F. Rizzo, M. Moresco, G. Zamorani, C. Padilla, S. Conseil, F. Atrio-Barandela, A. Grazian, E. Franceschi, K. Ganga, C.S. Carvalho, A. Amara, T. Schrabback, K.C. Chambers, P. Battaglia, N. Auricchio, R.B. Metcalf, S. Contarini, P. Tallada-Crespí, M. Pöntinen, M. Archidiacono, V. Lindholm, L. Stanco, C. Hernández-Monteagudo, T. Castro, M. Guidi, G. Mainetti, L. Conversi, S. Kermiche, G. Riccio, M. Poncet, F. Hormuth, J. Brinchmann, S. Nesseris
article en

Abstract

We investigate the non-Gaussian features in the distribution of the matter power spectrum multipoles. Using the ̧ovmos method, we generated 100,000 mock realisations of dark matter density fields in both real and redshift space across multiple redshifts and cosmological models. We derived an analytical framework linking the non-Gaussianity of the power spectrum distribution to higher-order statistics of the density field, including the trispectrum and pentaspectrum. We explored the effect of redshift-space distortions, the geometry of the survey, the Fourier binning, the integral constraint, and the shot noise on the skewness of the distribution of the power spectrum measurements. Our results demonstrate that the likelihood of the estimated matter power spectrum significantly deviates from a Gaussian assumption on non-linear scales, particularly at low redshift. This departure is primarily driven by the pentaspectrum contribution, which dominates over the trispectrum at intermediate scales. We also examined the impact of the finiteness of the survey geometry in the context of the Euclid mission, and we find that both the shape of the survey and the integral constraint amplify the skewness.

Springer Link (Chiba Institute of Technology)
Openalex Percentile: Top 75%
Galaxies: Formation, Evolution, Phenomena
DOISourceOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.