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Based on a suite of N-body simulations of the Hu-Sawicki model of f(R)gravity with different sets of model and cosmological parameters, we develop anew fitting formula with a numeric code, MGHalofit, to calculate the nonlinearmatter power spectrum P(k) for the Hu-Sawicki model. We compare the MGHalofitpredictions at various redshifts (z<=1) to the f(R) simulations and find thatthe accuracy on P(k) is 6% at k<1 h/Mpc and 12% at 1<k<10 h/Mpc respectively.Based on a sensitivity study of an ongoing and a future spectroscopic survey,we estimate the detectability of a signal of modified gravity described by theHu-Sawicki model using the power spectrum up to quasi-nonlinear scales.MGHalofit is publicly available athttp://icosmology.info/website/MGHalofit.html.

Modeling the nonlinear clustering in modified gravity models I: A fitting formula for matter power spectrum of f(R) gravity