Testing deviations from GR at cosmological scales including dynamical dark energy, massive neutrinos, functional or binned parametrizations, and spatial curvature

We introduce a new version of the Integrated Software in Testing General Relativity (ISiTGR) which is a patch to the software camb and cosmomc. ISiTGR is intended to test deviations from GR at cosmological scales using cosmological datasets. While doing so, it allows for various extensions to the standard flat $\mathrm{\ensuremath{\Lambda}}$ cold dark matter model. In this new release, we have support for the following: (1) dynamical dark energy parametrizations with a constant or time-dependant equation of state; (2) a consistent implementation of anisotropic shear to model massive neutrinos throughout the full formalism; (3) multiple commonly used parametrizations of modified growth (MG) parameters; (4) functional, binned and hybrid time and scale dependencies for all MG parameters; (5) spatially flat or curved backgrounds. ISiTGR is designed to allow cosmological analyses to take full advantage of ongoing and future surveys to test simultaneously or separately various extensions to the standard model. We describe here the formalism and its implementation in the cosmic microwave background (CMB) code, the Integrated Sachs-Wolfe effect, and the $3\ifmmode\times\else\texttimes\fi{}2$ point statistics. Next, we apply ISiTGR to current datasets from Planck-2018, Planck-2015, Dark Energy Survey YR1 release, baryonic acoustic oscillations (BAO), redshift space distortions (BAO/RSD) from the BOSS Data Release 12, the 6DF Galaxy Survey and the SDSS Data Release 7 Main Galaxy Sample, and Supernova from the Pantheon compilation, joint SNLS/SDSS data analysis and the Hubble Space Telescope. We derive constraints on MG parameters for various combinations of the five features above and find that general relativity is consistent with current datasets in all cases.

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