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Spatial Propagation of Weak Lensing Shear Response Corrections

2023/02/28 by T. D. Kitching, Kitching, T. D., N Tessore +3 · 1 citation
Mathematics · Engineering · #Statistical and numerical algorithms #Calibration and Measurement Techniques #Field-Flow Fractionation Techniques

paper · pdf · doi:10.48550/arxiv.2302.14656

Abstract

In this paper we show how response function corrections to shear measurements (e.g. as required by Metacalibration) propagate into cosmic shear power spectra. We investigate a 2-sphere pixel (also known as HEALpixel') correction and a forward-modelling approach using simple Gaussian simulations. In the 2-sphere pixel-correction approach we find a free parameter that is the tolerated condition number of the local response matrices: if this is too large then this can cause an amplification of the shot noise power spectrum, if too small it can lead to a loss of area (and a possible selection bias). In contrast by forward-modelling the power spectrum this choice can be avoided. This also applies to map-based inference methods using shear-response calibrated maps.

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