Towards precision constraints on gravity with the effective field theory of large-scale structure

Benjamin Bose, Kazuya Koyama, Matthew Lewandowski, Filippo Vernizzi, Hans A. Winther

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We compare analytical computations with numerical simulations for dark-matter clustering, in general relativity and in the normal branch of DGP gravity (nDGP). Our analytical frameword is the Effective Field Theory of Large-Scale Structure (EFTofLSS), which we use to compute the one-loop dark-matter power spectrum, including the resummation of infrared bulk displacement effects. We compare this to a set of 20 COLA simulations at redshifts z = 0, z = 0.5, and z = 1, and fit the free parameter of the EFTofLSS, called the speed of sound, in both ΛCDM and nDGP at each redshift. At one-loop at z = 0, the reach of the EFTofLSS is kreach ≈ 0.14 Mpc−1 for both ΛCDM and nDGP. Along the way, we compare two different infrared resummation schemes and two different treatments of the time dependence of the perturbative expansion, concluding that they agree to approximately 1% over the scales of interest. Finally, we use the ratio of the COLA power spectra to make a precision measurement of the difference between the speeds of sound in ΛCDM and nDGP, and verify that this is proportional to the modification of the linear coupling constant of the Poisson equation.
Original languageEnglish
Number of pages33
JournalJournal of Cosmology and Astroparticle Physics
Issue number063
Publication statusPublished - 27 Apr 2018


  • astro-ph.CO
  • dark energy theory
  • modified gravity
  • power spectrum
  • cosmological parameters from LSS
  • RCUK
  • STFC
  • ST/N000668/1


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