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The precision of cosmological parameters derived from galaxy cluster surveysis limited by uncertainty in relating observable signals to cluster mass. Wedemonstrate that a small mass-calibration follow-up program can significantlyreduce this uncertainty and improve parameter constraints, particularly whenthe follow-up targets are judiciously chosen. To this end, we apply a simulatedannealing algorithm to maximize the dark energy information at fixedobservational cost, and find that optimal follow-up strategies can reduce theobservational cost required to achieve a specified precision by up to an orderof magnitude. Considering clusters selected from optical imaging in the DarkEnergy Survey, we find that approximately 200 low-redshift X-ray clusters ormassive Sunyaev-Zel'dovich clusters can improve the dark energy figure of meritby 50%, provided that the follow-up mass measurements involve no systematicerror. In practice, the actual improvement depends on (1) the uncertainty inthe systematic error in follow-up mass measurements, which needs to becontrolled at the 5% level to avoid severe degradation of the results; and (2)the scatter in the optical richness-mass distribution, which needs to be madeas tight as possible to improve the efficacy of follow-up observations.

Annealing a Follow-up Program: Improvement of the Dark Energy Figure of Merit for Optical Galaxy Cluster Surveys