Semantic Scholar Open Access 2026

Euclid preparation. Galaxy power spectrum and bispectrum modelling

Euclid Collaboration K. Pardede A. Eggemeier D. Alkhanishvili E. Sefusatti A. M. Dizgah +495 lainnya

Abstrak

Higher-order correlation functions of the large-scale galaxy distribution offer access to information beyond that contained in standard 2-point statistics such as the power spectrum. In this work we assess this potential for the $\textit{Euclid}$ mission using synthetic catalogues of H$\alpha$ galaxies based on the 54 $\, h^{-3} \, {\rm Gpc}^3$ Flagship I simulation, designed to reproduce the $\textit{Euclid}$ spectroscopic sample. We comprehensively validate the one-loop galaxy power spectrum and tree-level bispectrum predictions from perturbation theory in both real and redshift space. Assuming scale cuts consistent with our previous power spectrum study on the same catalogues, this modelling yields unbiased cosmological constraints for the bispectrum up to $k_{\rm max} = 0.15\,\, h \, {\rm Mpc}^{-1}$ in real space and $0.08 \, (0.1)\,\, h \, {\rm Mpc}^{-1}$ at the lowest (highest) redshift, corresponding to $z=0.9$ ($z=1.8$), for the monopole and quadrupole in redshift space using statistical uncertainties corresponding to the full simulation volume. With these scale cuts, adding bispectrum information to the power spectrum improves constraints on the amplitude of scalar perturbations and the matter density by up to 30 %, increasing the overall figure of merit for key cosmological parameters by a factor of about 2.5. Similar conclusions hold when statistical uncertainties are rescaled to a $\textit{Euclid}$-like volume, highlighting the importance of the bispectrum for fully exploiting the forthcoming $\textit{Euclid}$ data. Our analysis also provides the first detailed characterisation of the nonlinear bias model of H$\alpha$ emitters, showing that bias relations calibrated on low-resolution \textit{N}-body simulations do not adequately describe the clustering of H$\alpha$ galaxies at low redshift, whereas excursion-set and co-evolution relations for tidal biases remain accurate.

Topik & Kata Kunci

Penulis (500)

E

Euclid Collaboration K. Pardede

A

A. Eggemeier

D

D. Alkhanishvili

E

E. Sefusatti

A

A. M. Dizgah

L

L. Christoph

A

A. Chudaykin

M

M. Karcher

D

D. Linde

M

M. Marinucci

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C. Porciani

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M. Crocce

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A. Parma

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Viale delle Scienze 7A 43124 Parma

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Italy

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Via Bonomea 265

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TS 34136Trieste

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11 StradaCostiera

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34127 Trieste

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4800 Oak Grove Drive

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Pasadena

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Ca

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91109

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53121 Bonn

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Germany

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34127 Trieste

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I. F. Physics

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Rwth Aachen University

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52056 Aachen

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U. Geneve

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Centre for Theoretical Physics

2

24 quai Ernest-Ansermet

4

4. CH-1211Geneve

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Switzerland.

D

Dipartimento di FisicaAldo Pontremoli

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U. Milano

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16 viaCeloria

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20133 Milano

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U. Padova

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35131 Padova

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20133 Milano

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Genova

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U. Genova

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Institute of Space Sciences

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Campus Uab

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Carrer de Can Magrans

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Sn

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08193 Barcelona

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Spain

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08860 Castelldefels

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Barcelona

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I. Milano

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Dipartimento di Scienze Matematiche

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Fisiche e Informatiche

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U. Parma

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Israel

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U. Bologna

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40129 Bologna

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I. Bologna

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U. Edinburgh

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Leiden University

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Villeurbanne

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F-69100

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U. Barcelona

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Format Sitasi

Pardede, E.C.K., Eggemeier, A., Alkhanishvili, D., Sefusatti, E., Dizgah, A.M., Christoph, L. et al. (2026). Euclid preparation. Galaxy power spectrum and bispectrum modelling. https://www.semanticscholar.org/paper/30a2250a10a9a7a14d1237e57ddf4a8a0474ad35

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