Predicting the Sufficient-Statistics Power Spectrum for Galaxy Surveys:
  A Recipe for $P_{A*}(k)$
  Future galaxy surveys hope to realize significantly tighter constraints on
various cosmological parameters. The higher number densities achieved by these
surveys will allow them to probe the smaller scales affected by non-linear
clustering. However, in these regimes, the standard power spectrum can extract
only a portion of such surveys' cosmological information. In contrast, the
alternate statistic $A^*$ has the potential to double these surveys'
information return, provided one can predict the $A^*$-power spectrum for a
given cosmology. Thus, in this work we provide a prescription for this power
spectrum $P_{A^*}(k)$, finding that the prescription is typically accurate to
about 5 per cent for near-concordance cosmologies. This prescription will thus
allow us to multiply the information gained from surveys such as Euclid and
WFIRST.
