## Abstract

Based on a suite of

*N*-body simulations of the Hu-Sawicki model of*ƒ*(*R*) gravity with different sets of model and cosmological parameters, we develop a new fitting formula with a numeric code, MGHalofit, to calculate the nonlinear matter power spectrum*P*(*k*) for the Hu-Sawicki model. We compare the MGHalofit predictions at various redshifts (*z*≤ 1) to the*f*(*R*) simulations and find that the relative error of the MGHalofit fitting formula of*P*(*k*) is no larger than 6% at*k*≤ 1*h*Mpc^{–1}and 12% at*k*(1, 10]*h*Mpc^{–1}, 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 the Hu-Sawicki model using the power spectrum up to quasi-nonlinear scales.Original language | English |
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Journal | The Astrophysical Journal Supplement Series |

Volume | 211 |

Issue number | 2 |

DOIs | |

Publication status | Published - 26 Mar 2014 |

## Keywords

- astro-ph.CO

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