The impact of our peculiar motion on primordial non-Gaussianity measurements using the LIGER4GAL framework

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Main Authors: Baldi, Bartolomeo Bottazzi, Elkhashab, Mohamed Yousry, Bertacca, Daniele, Porciani, Cristiano
Format: Preprint
Published: 2025
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author Baldi, Bartolomeo Bottazzi
Elkhashab, Mohamed Yousry
Bertacca, Daniele
Porciani, Cristiano
author_facet Baldi, Bartolomeo Bottazzi
Elkhashab, Mohamed Yousry
Bertacca, Daniele
Porciani, Cristiano
contents Current and forthcoming galaxy surveys will map the observable Universe with unprecedented depth, sky coverage, and precision. These maps are affected by relativistic redshift-space distortions (RSDs), which become increasingly relevant on ultra-large scales. Accurate modelling of these relativistic RSDs is essential to avoid systematic biases in key cosmological measurements, such as primordial non-Gaussianity (PNG). To address this, we introduce an updated implementation of the LIGER method, LIGER4GAL, which incorporates all linear-order relativistic RSDs directly at the tracer level of high-resolution N-body simulations. We demonstrate that LIGER4GAL improves upon previous iterations of the LIGER method by reproducing the expected non-linear clustering while maintaining accuracy for relativistic RSDs on large scales. We use the updated code to generate a DESI-like sample of luminous red galaxies from the Huge MultiDark Planck simulation. By measuring the power spectrum multipoles of this sample with and without the imprint of relativistic RSDs, we assess the impact of relativistic effects on measurements of the local PNG signal ($f_\mathrm{nl}$). We find that the omission of the''finger-of-the-observer'' (sourced by the peculiar velocity of the observer) effect in the power spectrum modelling can bias measurements of $f_{\rm nl}$ by more than $1$ ($0.25$) $ σ_{f_{\rm nl}}$ in 40% (80%) of the possible realizations of the universe if scales down to $k_\mathrm{min} = 0.0015\,h/\mathrm{Mpc}$ are included.
format Preprint
id arxiv_https___arxiv_org_abs_2512_03824
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The impact of our peculiar motion on primordial non-Gaussianity measurements using the LIGER4GAL framework
Baldi, Bartolomeo Bottazzi
Elkhashab, Mohamed Yousry
Bertacca, Daniele
Porciani, Cristiano
Cosmology and Nongalactic Astrophysics
Current and forthcoming galaxy surveys will map the observable Universe with unprecedented depth, sky coverage, and precision. These maps are affected by relativistic redshift-space distortions (RSDs), which become increasingly relevant on ultra-large scales. Accurate modelling of these relativistic RSDs is essential to avoid systematic biases in key cosmological measurements, such as primordial non-Gaussianity (PNG). To address this, we introduce an updated implementation of the LIGER method, LIGER4GAL, which incorporates all linear-order relativistic RSDs directly at the tracer level of high-resolution N-body simulations. We demonstrate that LIGER4GAL improves upon previous iterations of the LIGER method by reproducing the expected non-linear clustering while maintaining accuracy for relativistic RSDs on large scales. We use the updated code to generate a DESI-like sample of luminous red galaxies from the Huge MultiDark Planck simulation. By measuring the power spectrum multipoles of this sample with and without the imprint of relativistic RSDs, we assess the impact of relativistic effects on measurements of the local PNG signal ($f_\mathrm{nl}$). We find that the omission of the''finger-of-the-observer'' (sourced by the peculiar velocity of the observer) effect in the power spectrum modelling can bias measurements of $f_{\rm nl}$ by more than $1$ ($0.25$) $ σ_{f_{\rm nl}}$ in 40% (80%) of the possible realizations of the universe if scales down to $k_\mathrm{min} = 0.0015\,h/\mathrm{Mpc}$ are included.
title The impact of our peculiar motion on primordial non-Gaussianity measurements using the LIGER4GAL framework
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2512.03824