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On the road to percent accuracy: nonlinear reaction of the matter power spectrum to dark energy and modified gravity
Matteo Cataneo, Lucas Lombriser, Catherine Heymans, Alexander Mead, Alexandre Barreira, Sownak Bose, Baojiu Li
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We present a general method to compute the nonlinear matter power spectrum for dark energy and modified gravity scenarios with percent-level accuracy. By adopting the halo model and nonlinear perturbation theory, we predict the reaction of a ΛCDM matter power spectrum to the physics of an extended cosmological parameter space. By comparing our predictions to N-body simulations we demonstrate that with no-free parameters we can recover the nonlinear matter power spectrum for a wide range of different w₀-wₐ dark energy models to better than 1% accuracy out to k ≈1 h Mpc⁻¹. We obtain a similar performance for both DGP and f(R) gravity, with the nonlinear matter power spectrum predicted to better than 3% accuracy over the same range of scales. When including direct measurements of the halo mass function from the simulations, this accuracy improves to 1%. With a single suite of standard ΛCDM N-body simulations, our methodology provides a direct route to constrain a wide range of non-standard extensions to the concordance cosmology in the high signal-to-noise nonlinear regime.
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