Sersiclets - A Matched Filter Extension of Shapelets for Weak Lensing Studies

TL;DR

This paper introduces Sersiclets, an extension of shapelets using matched filters like Sersic profiles, to improve galaxy shape measurements crucial for dark matter studies via weak lensing.

Contribution

It proposes a novel matched filter approach combining Sersic profiles with shapelet decomposition to enhance shape measurement accuracy for weak lensing.

Findings

Resolves key issues in shapelet-based measurements

Improves precision of galaxy shape estimation

Offers promising alternatives for future surveys

Abstract

The precision study of dark matter using weak lensing by large scale structure is strongly constrained by the accuracy with which one can measure galaxy shapes. Several methods have been devised but none have demonstrated the ability to reach the level of precision required by future weak lensing surveys. In this Letter we explore new avenues to the existing Shapelets approach, combining a priori knowledge of the galaxy profile with the power of orthogonal basis function decomposition. This Letter discusses the new issues raised by this matched filter approach and proposes promising alternatives to shape measurement techniques. In particular it appears that the use of a matched filter (e.g. Sersic profile) restricted to elliptical radial fitting functions resolves several well known Shapelet issues.