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Testing Hu-Sawicki f(R) gravity with the effective field theory approach
Hu, Bin; Raveri, Marco; Rizzato, Matteo; Silvestri, Alessandra
AA(Institute Lorentz, Leiden University, PO Box 9506, NL-2300 RA Leiden, the Netherlands; Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona (IEEC-UB), Martí i Franquès 1, E-08028 Barcelona, Spain ), AB(SISSA - International School for Advanced Studies, Via Bonomea 265, I-34136 Trieste, Italy; INFN, Sezione di Trieste, Via Valerio 2, I-34127 Trieste, Italy; INAF - Osservatorio Astronomico di Trieste, Via G.B. Tiepolo 11, I-34131 Trieste, Italy), AC(Dipartimento di Fisica e Astronomia `G. Galilei', Università degli Studi di Padova, via Marzolo 8, I-35131 Padova, Italy), AD(Institute Lorentz, Leiden University, PO Box 9506, NL-2300 RA Leiden, the Netherlands)
Monthly Notices of the Royal Astronomical Society, Volume 459, Issue 4, p.3880-3889 (MNRAS Homepage)
Publication Date:
Astronomy Keywords:
cosmological parameters, dark energy
Abstract Copyright:
2016 The Authors Published by Oxford University Press on behalf of the Royal Astronomical Society
Bibliographic Code:


We show how to fully map a specific model of modified gravity into the Einstein-Boltzmann solver EFTCAMB. This approach consists in few steps and allows to obtain the cosmological phenomenology of a model with minimal effort. We discuss all these steps, from the solution of the dynamical equations for the cosmological background of the model to the use of the mapping relations to cast the model into the effective field theory language and use the latter to solve for perturbations. We choose the Hu-Sawicki f(R) model of gravity as our working example. After solving the background and performing the mapping, we interface the algorithm with EFTCAMB and take advantage of the effective field theory framework to integrate the full dynamics of linear perturbations, returning all quantities needed to accurately compare the model with observations. We discuss some observational signatures of this model, focusing on the linear growth of cosmic structures. In particular we present the behaviour of fsigma8 and EG that, unlike the Lambda cold dark matter (LambdaCDM) scenario, are generally scale dependent in addition to redshift dependent. Finally, we study the observational implications of the model by comparing its cosmological predictions to the Planck 2015 data, including cosmic microwave background lensing, the WiggleZ galaxy survey and the Canada-France-Hawaii Telescope Lensing Survey (CFHTLenS), weak-lensing survey measurements. We find that while WiggleZ data favour a non-vanishing value of the Hu-Sawicki model parameter, log _{10}(-f^0R), and consequently a large value of sigma8, CFHTLenS drags the estimate of log _{10}(-f^0R) back to the LambdaCDM limit.
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