The effects of varying depth in cosmic shear surveys
Sven Heydenreich, Peter Schneider, Hendrik Hildebrandt, Marika Asgari,, Catherine Heymans, Benjamin Joachimi, Konrad Kuijken, Chieh-An Lin, Tilman, Tr\"oster, Jan Luca van den Busch

TL;DR
This paper develops a semi-analytic model to assess how non-uniform survey depth affects cosmic shear measurements, showing minimal impact for current surveys but significant considerations for future experiments.
Contribution
It introduces a model to quantify the effects of depth variations on shear correlation functions, emphasizing their importance for next-generation cosmic shear surveys.
Findings
Depth variation increases shear correlation amplitude by a few percent in current surveys.
Impact on cosmological parameters is negligible for KiDS-like surveys.
Variable depth must be considered in future, more sensitive cosmic shear experiments.
Abstract
We present a semi-analytic model for the shear two-point correlation function of a cosmic shear survey with non-uniform depth. Ground-based surveys are subject to depth variations that primarily arise through varying atmospheric conditions. For a survey like the Kilo-Degree Survey (KiDS), we find that the measured depth variation increases the amplitude of the observed shear correlation function at the level of a few percent out to degree-scales, relative to the assumed uniform-depth case. The impact on the inferred cosmological parameters is shown to be insignificant for a KiDS-like survey. For next-generation cosmic shear experiments, however, we conclude that variable depth should be accounted for.
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