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Future galaxy surveys hope to realize significantly tighter constraints onvarious cosmological parameters. The higher number densities achieved by thesesurveys will allow them to probe the smaller scales affected by non-linearclustering. However, in these regimes, the standard power spectrum can extractonly a portion of such surveys' cosmological information. In contrast, thealternate statistic $A^*$ has the potential to double these surveys'information return, provided one can predict the $A^*$-power spectrum for agiven cosmology. Thus, in this work we provide a prescription for this powerspectrum $P_{A^*}(k)$, finding that the prescription is typically accurate toabout 5 per cent for near-concordance cosmologies. This prescription will thusallow us to multiply the information gained from surveys such as Euclid andWFIRST.

Predicting the Sufficient-Statistics Power Spectrum for Galaxy Surveys: A Recipe for $P_{A*}(k)$