Validating estimates of the growth rate of structure with modified gravity simulations

preprint2016arXivOpen access

Abstract

We perform a validation of estimates of the growth rate of structure, described by the parameter combination fσ8fσ_8, in modified gravity cosmologies. We consider an analysis pipeline based on the redshift-space distortion modelling of the clustering wedges statistic of the galaxy correlation function and apply it to mock catalogues of ΛCDMΛ{\rm CDM} and the normal branch of DGP cosmologies. We employ a halo occupation distribution approach to construct our mocks, which we ensure resemble the CMASS sample from BOSS in terms of the total galaxy number density and large scale amplitude of the power spectrum monopole. We show that the clustering wedges model successfully recovers the true growth rate difference between DGP and ΛCDMΛ{\rm CDM}, even for cases with over 40\% enhancement in fσ8fσ_8 compared to ΛCDMΛ{\rm CDM}. The unbiased performance of the clustering wedges model allows us to use the growth rate values estimated from the BOSS DR12 data to constrain the cross-over scale rcr_c of DGP gravity to [rcH0]−1<0.97\left[r_cH_0\right]^{-1} < 0.97 (2σ2σ) or rc>3090 Mpc/hr_c > 3090\ {\rm Mpc}/h, cutting into the interesting region of parameter space with rc∼H0−1r_c \sim H_0^{-1} using constraints from the growth of structure alone.

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