Euclid: Forecasts for $k$-cut $3 \times 2$ Point Statistics

Understand

Modelling uncertainties at small scales, i.e.

• high $k$ in the power spectrum $P(k)$, due to baryonic feedback, nonlinear structure growth and the fact that galaxies are biased tracers poses a significant obstacle to fully leverage the constraining power of the {\it Euclid} wide-field survey.
• $k$-cut cosmic shear has recently been proposed as a method to optimally remove sensitivity to these scales while preserving usable information.
• In this paper we generalise the $k$-cut cosmic shear formalism to $3 \times 2$ point statistics and estimate the loss of information for different $k$-cuts in a $3 \times 2$ point analysis of the {\it Euclid} data.