| Summary: | We investigate the constraining power of current and future Sunyaev-Zeldovich cluster surveys on the f(R) gravity model. We use a Fisher matrix approach, adopt self-calibration for the mass-observable scaling relation, and evaluate constraints for the South Pole Telescope (SPT), Planck, SPT polarimeter (SPTpol), and Atacama Cosmology Telescope polarimeter (ACTpol) surveys. The modified gravity effects on the mass function, halo bias, matter power spectrum, and mass-observable relation are taken into account. We show that, relying on number counts only, the Planck cluster catalog is expected to reduce current upper limits by about a factor of 4, to σ_f_(R0)=2×10^(-5) (68% confidence level) while SPT, SPTpol, and ACTpol yield about 3×10^(-5). Adding the cluster power spectrum further improves the constraints to σ_f_(R0)=5×10^(-6) for Planck and σ_f_(R0)=2×10^(-5) for SPTpol, pushing cluster constraints significantly beyond the limit where number counts have no constraining power due to the chameleon screening mechanism. Further, the combination of both observables breaks degeneracies, especially with the expansion history (effective dark energy density and equation of state). The constraints are only mildly worsened by the use of self-calibration but depend on the mass threshold and redshift coverage of the cluster samples. © 2012 American Physical Society. Received 3 November 2011; published 7 June 2012. E. P. and N. M. acknowledge support from NSF Grant No. AST-0649899. E. P. and D. M. were partially supported by NASA Grant No. NNX07AH59G. E. P. also acknowledges support from JPL-Planck subcontract 1290790. She would like to thank the Aspen Center for Physics for hospitality during the preparation of this work. F. S. would like to thank Wayne Hu for helpful discussions. F. S. is supported by the Gordon and Betty Moore foundation at Caltech. Published - Mak2012p18645Phys_Rev_D.pdf
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