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There are several wide field galaxy and cluster surveys planned for thenearest future, e.g. BOSS, WFMOS, ADEPT, Hetdex, SPT, eROSITA. In the simplestapproach one would analyze these independently, thus neglecting the extrainformation provided by the cluster-galaxy cross-pairs. In this paper we havefocused on the possible synergy between these surveys by investigating theamount of information encoded in the cross-pairs. We present a model for thecluster-galaxy cross-spectrum within the Halo Model framework. To assess thegain in performance due to inclusion of the cluster-galaxy cross-pairs we carryout a Fisher matrix analysis for a BOSS-like galaxy redshift survey targetingluminous red galaxies and a hypothetical mass-limited cluster redshift surveywith a lower mass threshold of 1.7x10^14 M_sun/h over the same volume. On smallscales cluster-galaxy cross-spectrum probes directly density profile of thehalos, instead of the density profile convolved with itself, as is the case forthe galaxy power spectrum. Due to this different behavior, adding informationfrom the cross-pairs helps to tighten constraints on the halo occupationdistribution. By inclusion of the cross-pairs a factor of ~2 strongerconstraints are obtained for sigma_8, while the improvement for the dark energyfigure-of-merit is somewhat weaker: an increase by a factor of 1.4.

The cluster-galaxy cross-spectrum: an additional probe of cosmological and halo parameters