Modelling the impact of quasar redshift errors on the full-shape analysis of correlations in the Lyman-α forest

ABSTRACT In preparation for the first cosmological measurements from the full shape of the Lyman-$\alpha$ (Ly $\alpha$) forest from Dark Energy Spectroscopic Instrument (DESI), we must carefully model all relevant systematics that might bias our analysis. It has been shown that random quasar redshift errors produce a smoothing effect on the mean quasar continuum in the Ly $\alpha$ forest region. This, in turn, gives rise to spurious features in the Ly $\alpha$ autocorrelation and its cross-correlation with quasars. Using synthetic data sets based on the DESI survey, we confirm that the impact on baryon acoustic oscillation measurements is small, but that a bias is introduced to parameters which depend on the full shape of our correlations. We combine a model of this contamination in the cross-correlation with a new model we introduce here for the autocorrelation. These are parametrized by three parameters, which, when included in a joint fit to both correlation functions, successfully eliminate any impact of redshift errors on our full-shape constraints. We also present a strategy for removing this contamination from real data, by removing $\sim$0.3 per cent of correlating pairs.

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Publication Details

Journal
Monthly Notices of the Royal Astronomical Society
Published
2025-11-22
DOI
https://doi.org/10.1093/mnras/staf2035
Primary Topic
Galaxies: Formation, Evolution, Phenomena
Type
article
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article

Modelling the impact of quasar redshift errors on the full-shape analysis of correlations in the Lyman-α forest

D. Kirkby, Will J. Percival, Rongpu Zhou, Paul Martini et al.
Monthly Notices of the Royal Astronomical Society
Galaxies: Formation, Evolution, Phenomena
article

Modelling the impact of quasar redshift errors on the full-shape analysis of correlations in the Lyman-α forest

D. Kirkby, Will J. Percival, Rongpu Zhou, Paul Martini, Michael S. Schubnell, Graziano Rossi, N. Palanque‐Delabrouille, S. Nadathur, H. K. Herrera-Alcantar, Gregory Tarlé, Andreu Font-Ribera, Laurent Le Guillou, David Sprayberry, Gustavo Niz, D. Bianchi, David J. Schlegel, Ignasi Pérez-Ràfols, Axel de la Macorra, Martin Landriau, Shaun Cole, M. E. Levi, Gaston Gutierrez, Eusebio Sanchez, Satya Gontcho A Gontcho, ENRIQUE GAZTAÑAGA, Andrei Cuceu, Joseph Harry Silber, J. E. Forero-Romero, R. Miquel, Theodore S. Kisner, Biprateep Dey, David H. Brooks, John Moustakas, Mustapha Ishak, Hee‐Jong Seo, Peter Doel, Hu Zou, T. Claybaugh, Julien Guy, Marc Manera, Benjamin A. Weaver, R. Kehoe, Klaus Honscheid, F. Prada, Jessica Nicole Aguilar Steven Ahlen, C. Gordon
article en

Abstract

ABSTRACT In preparation for the first cosmological measurements from the full shape of the Lyman-$\alpha$ (Ly $\alpha$) forest from Dark Energy Spectroscopic Instrument (DESI), we must carefully model all relevant systematics that might bias our analysis. It has been shown that random quasar redshift errors produce a smoothing effect on the mean quasar continuum in the Ly $\alpha$ forest region. This, in turn, gives rise to spurious features in the Ly $\alpha$ autocorrelation and its cross-correlation with quasars. Using synthetic data sets based on the DESI survey, we confirm that the impact on baryon acoustic oscillation measurements is small, but that a bias is introduced to parameters which depend on the full shape of our correlations. We combine a model of this contamination in the cross-correlation with a new model we introduce here for the autocorrelation. These are parametrized by three parameters, which, when included in a joint fit to both correlation functions, successfully eliminate any impact of redshift errors on our full-shape constraints. We also present a strategy for removing this contamination from real data, by removing $\sim$0.3 per cent of correlating pairs.

Monthly Notices of the Royal Astronomical SocietyVol. 545(2)
Boston University (US), Institució Catalana de Recerca i Estudis Avançats (ES), Universidad Complutense de Madrid (ES), Universitat Autònoma de Barcelona (ES), Centre National de la Recherche Scientifique (FR), Universidad de Guanajuato (MX), Fermi National Accelerator Laboratory (US), Institute of Space Sciences (ES), Lawrence Berkeley National Laboratory (US), University of Waterloo (CA), State Street (United States) (US), Universidad de Los Andes (CO), The University of Texas at Dallas (US), University of Pittsburgh (US), Southern Methodist University (US), Perimeter Institute (CA), Institute for High Energy Physics (ES), University of Milan (IT), Durham University (GB), Chinese Academy of Sciences (CN), University of California, Irvine (US), Commissariat à l'Énergie Atomique et aux Énergies Alternatives (FR), Université Paris-Saclay (FR), University of Michigan (US), Institut d'Astrophysique de Paris (FR), Brera Astronomical Observatory (IT), Sejong University (KR), Sorbonne Université (FR), Institut d'Estudis Espacials de Catalunya (ES), Laboratoire de Physique Nucléaire et de Hautes Énergies (FR), Ohio University (US), Canadian Institute for Theoretical Astrophysics (CA), CEA Paris-Saclay (FR), Institut National de Physique Nucléaire et de Physique des Particules (FR), Community Science and Data Center (US), Istituto Nazionale di Fisica Nucleare, Sezione di Milano (IT), Centro de Investigación en Materiales Avanzados (MX), NSF NOIRLab (US), Universidad de Los Andes (BO), Instituto de Astrofísica de Andalucía (ES), National Astronomical Observatories (CN), Institut de Recherche sur les Lois Fondamentales de l'Univers (FR), Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (ES), University College London (GB), The Ohio State University (US), University of Portsmouth (GB), Universidad Nacional Autónoma de México (MX), Siena College (US), Universitat Politècnica de Catalunya (ES)
Openalex Percentile: Top 75%
Galaxies: Formation, Evolution, Phenomena
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