Aviles, Alejandro and Valogiannis, Georgios and Rodriguez-Meza, Mario A. and Cervantes-Cota, Jorge L. and Li, Baojiu and Bean, Rachel (2021) 'Redshift space power spectrum beyond Einstein-de Sitter kernels.', Journal of Cosmology and Astroparticle Physics, 2021 (04). 039.
We develop a framework to compute the redshift space power spectrum (PS), with kernels beyond Einstein-de Sitter (EdS), that can be applied to a wide variety of generalized cosmologies. We build upon a formalism that was recently employed for standard cosmology in Chen, Vlah & White (2020), and utilize an expansion of the density-weighted velocity moment generating function that explicitly separates the magnitude of the k-modes and their angle to the line-of-sight direction dependencies. We compute the PS for matter and biased tracers to 1-loop Perturbation Theory (PT) and show that the expansion has a correct infrared and ultraviolet behavior, free of unwanted divergences. We also add Effective Field Theory (EFT) counterterms, necessary to account for small-scale contributions to PT, and employ an IR-resummation prescription to properly model the smearing of the BAO due to large scale bulk flows within Standard-PT. To demonstrate the applicability of our formalism, we apply it on the ΛCDM and the Hu-Sawicki f(R) models, and compare our numerical results against the elephant suite of N-body simulations, finding very good agreement up to k = 0.27 Mpc-1 h at z = 0.5 for the first three non-vanishing Legendre multipoles of the PS. To our knowledge, the model presented in this work is the most accurate theoretical EFT-PT for modified gravity to date, being the only one that accounts for beyond linear local biasing in redshift-space. Hence, we argue our RSD modeling is a promising tool to construct theoretical templates in order to test deviations from ΛCDM using real data obtained from the next stage of cosmological surveys such as DESI and LSST.
|Full text:||(AM) Accepted Manuscript|
Available under License - Creative Commons Attribution Non-commercial No Derivatives 4.0.
Download PDF (2678Kb)
|Publisher Web site:||https://doi.org/10.1088/1475-7516/2021/04/039|
|Publisher statement:||The deposited manuscript is available under a CC BY-NC-ND 4.0 licence.|
|Date accepted:||10 March 2021|
|Date deposited:||10 September 2021|
|Date of first online publication:||15 April 2021|
|Date first made open access:||15 April 2022|
Save or Share this output
|Look up in GoogleScholar|