The imprint of $f(R)$ gravity on weak gravitational lensing II : Information content in cosmic shear statistics

Understand

We investigate the information content of various cosmic shear statistics on the theory of gravity.

• Focusing on the Hu-Sawicki-type $f(R)$ model, we perform a set of ray-tracing simulations and measure the convergence bispectrum, peak counts and Minkowski functionals.
• We first show that while the convergence power spectrum does have sensitivity to the current value of extra scalar degree of freedom $|f_{\rm R0}|$, it is largely compensated by a change in the present density amplitude parameter $\sigma_{8}$ and the matter density parameter $\Omega_{\rm m0}$.
• With accurate covariance matrices obtained from 1000 lensing simulations, we then examine the constraining power of the three additional statistics.