Halo-Galaxy Lensing: A Full Sky Approach

Abstract

The halo-galaxy lensing correlation function or the average tangential shear profile over sampled halos is a very powerful means of measuring the halo masses, the mass profile, and the halo-mass correlation function of very large separations in the linear regime. We reformulate the halo-galaxy lensing correlation in harmonic space. We find that, counter-intuitively, errors in the conventionally used flat-sky approximation remain at a % level even at very small angles. The errors increase at larger angles and for lensing halos at lower redshifts: the effect is at a few % level at the baryonic acoustic oscillation scales for lensing halos of $z\sim 0.2$, and comparable with the effect of primordial non-Gaussianity with $f_{\mathrm{NL}}\sim 10$ at large separations. Our results allow to readily estimate/correct for the full-sky effect on a high-precision measurement of the average shear profile available from upcoming wide-area lensing surveys.

12 pages, 4 figures

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Cited by in corpus (15)

• Dark Energy Survey Year 1 Results: Constraints on Extended Cosmological Models from Galaxy Clustering and Weak Lensing
• Power Spectrum Super-Sample Covariance
• The MICE Grand Challenge Lightcone Simulation III: Galaxy lensing mocks from all-sky lensing maps
• Combining cluster observables and stacked weak lensing to probe dark energy: Self-calibration of systematic uncertainties
• Cluster-galaxy weak lensing
• Dark Energy Survey Year 3 Results: Covariance Modelling and its Impact on Parameter Estimation and Quality of Fit
• 2D-FFTLog: Efficient computation of real space covariance matrices for galaxy clustering and weak lensing
• Cross-Correlation of Cosmic Shear and Extragalactic Gamma-ray Background: Constraints on the Dark Matter Annihilation Cross-Section
• Euclid. V. The Flagship galaxy mock catalogue: a comprehensive simulation for the Euclid mission
• Cosmic shear bispectrum from second-order perturbations in General Relativity
• Using galaxy-galaxy weak lensing measurements to correct the Finger-of-God
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• Stacked lensing estimators and their covariance matrices: Excess surface mass density vs. Lensing shear
• The spherical Fast Multipole Method (sFMM) for Gravitational Lensing Simulation