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A perturbative approach to the redshift space correlation function: beyond the standard model

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We extend our previous redshift space power spectrum code to the redshift space correlation function. Here we focus on the Gaussian Streaming Model (GSM). Again, the code accommodates a wide range of modified gravity and dark energy models. For the non-linear real space correlation function used in the GSM, we use the Fourier transform of the RegPT 1-loop matter power spectrum. We compare predictions of the GSM for a Vainshtein screened and Chameleon screened model as well as GR. These predictions are compared to the Fourier transform of the Taruya, Nishimichi and Saito (TNS) redshift space power spectrum model which is fit to N-Body data. We find very good agreement between the Fourier transform of the TNS model and the GSM predictions, with ≤6% deviations in the first two correlation function multipoles for all models for separations in 50Mpc/h≤s≤180Mpc/h. Excellent agreement is found in the differences between the modified gravity and GR multipole predictions for both approaches to the redshift space correlation function, highlighting their matched ability in picking up deviations from GR. We elucidate the timeliness of such non-standard templates at the dawn of stage-IV surveys and discuss necessary preparations and extensions needed for upcoming high quality data.
Original languageEnglish
JournalJournal of Cosmology and Astroparticle Physics
Publication statusPublished - 23 Aug 2017


  • 1705.09181v2

    Rights statement: This is an author-created, un-copyedited version of an article published in Journal of Cosmology and Astroparticle Physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at doi: 10.1088/1475-7516/2017/08/029.

    Accepted author manuscript (Post-print), 1.06 MB, PDF document

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