Reducing Systematic Error in Cluster Scale Weak Lensing

TL;DR

This paper addresses systematic errors in weak lensing measurements of galaxy clusters by developing methods to reduce these errors, thereby improving the reliability of cluster detection in large-area surveys.

Contribution

The authors introduce two effective procedures for reducing systematic errors in weak lensing data and provide an analytic framework for estimating false peak contamination.

Findings

Systematic error reduced to 20% of original amplitude.

Selected S/N threshold of 4.56 yields reliable peak detection.

Estimated only 2.7 spurious peaks in 1000 deg$^2$ area.

Abstract

Weak lensing provides an important route toward collecting samples of clusters of galaxies selected by mass. Subtle systematic errors in image reduction can compromise the power of this technique. We use the B-mode signal to quantify this systematic error and to test methods for reducing this error. We show that two procedures are efficient in suppressing systematic error in the B-mode: (1) refinement of the mosaic CCD warping procedure to conform to absolute celestial coordinates and (2) truncation of the smoothing procedure on a scale of 10$^{\prime}$. Application of these procedures reduces the systematic error to 20% of its original amplitude. We provide an analytic expression for the distribution of the highest peaks in noise maps that can be used to estimate the fraction of false peaks in the weak lensing $\kappa$-S/N maps as a function of the detection threshold. Based on this analysis we select a threshold S/N = 4.56 for identifying an uncontaminated set of weak lensing peaks in two test fields covering a total area of $\sim 3$deg$^2$. Taken together these fields contain seven peaks above the threshold. Among these, six are probable systems of galaxies and one is a superposition. We confirm the reliability of these peaks with dense redshift surveys, x-ray and imaging observations. The systematic error reduction procedures we apply are general and can be applied to future large-area weak lensing surveys. Our high peak analysis suggests that with a S/N threshold of 4.5, there should be only 2.7 spurious weak lensing peaks even in an area of 1000 deg$^2$ where we expect $\sim$ 2000 peaks based on our Subaru fields.