On the total cosmological information in galaxy clustering: an analytical approach

Understand

Beyond the linear regime of structure formation, part of cosmological information encoded in galaxy clustering becomes inaccessible to the usual power spectrum.

• "Sufficient statistics", A*, were introduced recently to recapture the lost, and ultimately extract all, cosmological information.
• We present analytical approximations for the A* and traditional power spectra as well as for their covariance matrices in order to calculate analytically their cosmological information content in the context of Fisher information theory.
• Our approach allows the precise quantitative comparison of the techniques with each other and to the total information in the data, and provides insights into sufficient statistics.