Propagating Residual Biases in Cosmic Shear Power Spectra

Understand

In this paper we derive a full expression for the propagation of multiplicative and additive shape measurement biases into the cosmic shear power spectrum.

• In doing so we identify several new terms that are associated with selection effects, as well as cross-correlation terms between the multiplicative and additive biases and the shear field.
• The computation of the resulting bias in the shear power spectrum scales as the fifth power of the maximum multipole considered.
• Consequently the calculation is unfeasible for large l-modes, and the only tractable way to assess the full impact of shape measurement biases on cosmic shear power spectrum is through forward modelling of the effects.