Journal
PHYSICAL REVIEW D
Volume 90, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.90.123515
Keywords
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Funding
- Japan Society for the Promotion of Science [23740186, 24540257]
- French Agence Nationale de la Recherche [ANR-12-BS05-0002]
- JSPS Postdoctoral Fellowships
- UK Science and Technology Facilities Council (STFC) [ST/K00090/1, ST/L005573/1]
- MEXT HPCI Strategic Program
- STFC [ST/L005573/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/L005573/1] Funding Source: researchfish
- Grants-in-Aid for Scientific Research [24540257, 23740186] Funding Source: KAKEN
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Based on the multipoint propagator expansion, we present resummed perturbative calculations for cosmological power spectra and correlation functions in the context of modified gravity. In a wide class of modified gravity models that have a screening mechanism to recover general relativity (GR) on small scales, we apply the eikonal approximation to derive the governing equation for resummed propagator that partly includes the nonperturbative effect in the high-k limit. The resultant propagator in the high-k limit contains the new corrections arising from the screening mechanism as well as the standard exponential damping. We explicitly derive the expression for new high-k contributions in specific modified gravity models, and find that in the case of f(R) gravity for a currently constrained model parameter, the corrections are basically of the subleading order and can be neglected. Thus, in f(R) gravity, similarly to the GR case, we can analytically construct the regularized propagator that reproduces both the resummed high-k behavior and the low-k results computed with standard perturbation theory, consistently taking account of the nonlinear modification of gravity valid at large scales. With the regularized multipoint propagators, we give predictions for power spectrum and correlation function at one-loop order, and compare those with N-body simulations in f(R) gravity model. As an important application, we also discuss the redshift-space distortions and compute the anisotropic power spectra and correlation functions.
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