Point-Spread Function errors for weak lensing - density cross-correlations. Application to UNIONS

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Auteurs principaux: Zhang, Ziwen, Kilbinger, Martin, Peters, Fabian Hervas, Li, Qinxun, Luo, Wentao, Baumont, Lucie, Cuillandre, Jean-Charles, Fabbro, Sebastien, Gwyn, Stephen, McConnachie, Alan, Wittje, Anna
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Publié: 2024
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author Zhang, Ziwen
Kilbinger, Martin
Peters, Fabian Hervas
Li, Qinxun
Luo, Wentao
Baumont, Lucie
Cuillandre, Jean-Charles
Fabbro, Sebastien
Gwyn, Stephen
McConnachie, Alan
Wittje, Anna
author_facet Zhang, Ziwen
Kilbinger, Martin
Peters, Fabian Hervas
Li, Qinxun
Luo, Wentao
Baumont, Lucie
Cuillandre, Jean-Charles
Fabbro, Sebastien
Gwyn, Stephen
McConnachie, Alan
Wittje, Anna
contents Aims:Calibrating the point spread function (PSF) is a fundamental part of weak gravitational lensing analyses. Even with corrected galaxy images, imperfect calibrations can introduce biases. We propose an analytical framework for quantifying PSF-induced systematics as diagnostics for cross-correlation measurements of weak lensing with density tracers, e.g., galaxy-galaxy lensing. We show how those systematics propagate to physical parameters of the density tracers. Those diagnostics only require a shape catalogue of PSF stars and foreground galaxy positions. Methods:We consider the PSF-induced multiplicative bias, and introduce three second-order statistics as additive biases. We compute both biases for the weak-lensing derived halo mass of spectroscopic foreground galaxy samples, in particular, their effect on the tangential shear and fitted halo mass as a function of stellar mass. In addition, we assess their impact on the recently published black-hole - halo-mass relation for type I Active Galactic Nuclei (AGNs). Results:Using weak-lensing catalogues from the Ultraviolet Near Infrared Optical Northern Survey (UNIONS) and Dark Energy Survey (DES), we find the multiplicative biases in the tangential shear to be less than $0.5\%$. No correlations between additive bias and galaxy properties of the foreground sample are detected. The combined PSF systematics affect low-mass galaxies and small angular scales; halo mass estimates can be biased by up to 18$\%$ for a sample of central galaxies in the stellar mass range 9.0 $\leq$ log $M_*/\rm M_{\odot}$ < 9.5. Conclusions:The PSF-induced multiplicative bias is a subdominant contribution to current studies of weak-lensing - density cross-correlations, but might become significant for upcoming Stage-VI surveys. For samples with a low tangential shear, additive PSF systematics can induce a significant bias on derived properties such as halo mass.
format Preprint
id arxiv_https___arxiv_org_abs_2405_03434
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Point-Spread Function errors for weak lensing - density cross-correlations. Application to UNIONS
Zhang, Ziwen
Kilbinger, Martin
Peters, Fabian Hervas
Li, Qinxun
Luo, Wentao
Baumont, Lucie
Cuillandre, Jean-Charles
Fabbro, Sebastien
Gwyn, Stephen
McConnachie, Alan
Wittje, Anna
Cosmology and Nongalactic Astrophysics
Aims:Calibrating the point spread function (PSF) is a fundamental part of weak gravitational lensing analyses. Even with corrected galaxy images, imperfect calibrations can introduce biases. We propose an analytical framework for quantifying PSF-induced systematics as diagnostics for cross-correlation measurements of weak lensing with density tracers, e.g., galaxy-galaxy lensing. We show how those systematics propagate to physical parameters of the density tracers. Those diagnostics only require a shape catalogue of PSF stars and foreground galaxy positions. Methods:We consider the PSF-induced multiplicative bias, and introduce three second-order statistics as additive biases. We compute both biases for the weak-lensing derived halo mass of spectroscopic foreground galaxy samples, in particular, their effect on the tangential shear and fitted halo mass as a function of stellar mass. In addition, we assess their impact on the recently published black-hole - halo-mass relation for type I Active Galactic Nuclei (AGNs). Results:Using weak-lensing catalogues from the Ultraviolet Near Infrared Optical Northern Survey (UNIONS) and Dark Energy Survey (DES), we find the multiplicative biases in the tangential shear to be less than $0.5\%$. No correlations between additive bias and galaxy properties of the foreground sample are detected. The combined PSF systematics affect low-mass galaxies and small angular scales; halo mass estimates can be biased by up to 18$\%$ for a sample of central galaxies in the stellar mass range 9.0 $\leq$ log $M_*/\rm M_{\odot}$ < 9.5. Conclusions:The PSF-induced multiplicative bias is a subdominant contribution to current studies of weak-lensing - density cross-correlations, but might become significant for upcoming Stage-VI surveys. For samples with a low tangential shear, additive PSF systematics can induce a significant bias on derived properties such as halo mass.
title Point-Spread Function errors for weak lensing - density cross-correlations. Application to UNIONS
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2405.03434