Measuring and unbiasing the BAO shift in the Lyman-Alpha forest with AbacusSummit

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Main Authors: Hadzhiyska, Boryana, de Belsunce, Roger, Cuceu, Andrei, Guy, Julien, Ivanov, Mikhail M., Coquinot, Henri, Font-Ribera, Andreu
Format: Preprint
Published: 2025
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author Hadzhiyska, Boryana
de Belsunce, Roger
Cuceu, Andrei
Guy, Julien
Ivanov, Mikhail M.
Coquinot, Henri
Font-Ribera, Andreu
author_facet Hadzhiyska, Boryana
de Belsunce, Roger
Cuceu, Andrei
Guy, Julien
Ivanov, Mikhail M.
Coquinot, Henri
Font-Ribera, Andreu
contents The currently observing Dark Energy Spectroscopic Instrument (DESI) places sub-percent constraints on the Baryon Acoustic Oscillations (BAO) scaling parameters from the Lyman-$α$ (Ly-$α$) forest. However, no systematic error budget stemming from non-linearities in the 3D clustering of the Ly-$α$ forest is included in the DESI-Ly-$α$ analysis. In this work, we measure the size of the shift of the BAO peak using large Ly-$α$ forest mocks produced on the $N$-body simulation suite \textsc{AbacusSummit}. Specifically, we measure the Ly-$α$ auto-correlation and the Ly-$α$-quasar cross-correlation functions. We use the DESI Ly-$α$ forest fitting pipeline, \textsc{Vega}, with the publicly available covariance matrix from eBOSS DR16. To mitigate the noise, we adopt a linear control variates (LCV) technique, reducing the error bars by a factor of up to $\sim \sqrt{50}$ on large scales. From the auto-correlation, we detect a small positive shift in radial direction of $Δα_\parallel = 0.35\%$ at the 3$σ$ level and virtually no shift in the transverse direction, $α_\perp$. From the cross-correlation, we see a similar shift to $Δα_\parallel$, albeit with larger error bars, and a small negative shift, $Δα_\perp=\sim$0.25\%, at the 2$σ$ level. We also make a connection with the Ly-$α$ forest effective field theory (EFT) framework and find that the one-loop EFT power spectrum yields unbiased measurements of the BAO shift parameters in radial and transverse direction for Ly-$α$ auto and the Ly-$α$-quasar cross-correlation measurements. When using the one-loop EFT framework, we find that we can recover the BAO parameters without a shift, which has important implications for future Ly-$α$ forest analyses based on EFT. This work paves the way for the full-shape analysis of DESI and future surveys.
format Preprint
id arxiv_https___arxiv_org_abs_2503_13442
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Measuring and unbiasing the BAO shift in the Lyman-Alpha forest with AbacusSummit
Hadzhiyska, Boryana
de Belsunce, Roger
Cuceu, Andrei
Guy, Julien
Ivanov, Mikhail M.
Coquinot, Henri
Font-Ribera, Andreu
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
The currently observing Dark Energy Spectroscopic Instrument (DESI) places sub-percent constraints on the Baryon Acoustic Oscillations (BAO) scaling parameters from the Lyman-$α$ (Ly-$α$) forest. However, no systematic error budget stemming from non-linearities in the 3D clustering of the Ly-$α$ forest is included in the DESI-Ly-$α$ analysis. In this work, we measure the size of the shift of the BAO peak using large Ly-$α$ forest mocks produced on the $N$-body simulation suite \textsc{AbacusSummit}. Specifically, we measure the Ly-$α$ auto-correlation and the Ly-$α$-quasar cross-correlation functions. We use the DESI Ly-$α$ forest fitting pipeline, \textsc{Vega}, with the publicly available covariance matrix from eBOSS DR16. To mitigate the noise, we adopt a linear control variates (LCV) technique, reducing the error bars by a factor of up to $\sim \sqrt{50}$ on large scales. From the auto-correlation, we detect a small positive shift in radial direction of $Δα_\parallel = 0.35\%$ at the 3$σ$ level and virtually no shift in the transverse direction, $α_\perp$. From the cross-correlation, we see a similar shift to $Δα_\parallel$, albeit with larger error bars, and a small negative shift, $Δα_\perp=\sim$0.25\%, at the 2$σ$ level. We also make a connection with the Ly-$α$ forest effective field theory (EFT) framework and find that the one-loop EFT power spectrum yields unbiased measurements of the BAO shift parameters in radial and transverse direction for Ly-$α$ auto and the Ly-$α$-quasar cross-correlation measurements. When using the one-loop EFT framework, we find that we can recover the BAO parameters without a shift, which has important implications for future Ly-$α$ forest analyses based on EFT. This work paves the way for the full-shape analysis of DESI and future surveys.
title Measuring and unbiasing the BAO shift in the Lyman-Alpha forest with AbacusSummit
topic Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
url https://arxiv.org/abs/2503.13442