On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures
By R. Angulo, Matteo Fasiello, L. Senatore, Z. Vlah. 2015
145 citations recorded by the source corpus.
With the completion of the Planck mission, in order to continue to gather cosmological information it has become crucial to understand the Large Scale Structures (LSS) of the universe to percent accuracy. The Effective Field Theory of LSS (EFTofLSS) is a novel theoretical framework that aims to develop an analytic understanding of LSS at long distances, where inhomogeneities are small. We further develop the description of biased tracers in the EFTofLSS to account for the effect of baryonic physics and primordial non-Gaussianities, finding that new bias coefficients are required. Then, restricting to dark matter with Gaussian initial conditions, we describe the prediction of the EFTofLSS for the one-loop halo-halo and halo-matter two-point functions, and for the tree-level halo-halo-halo, matter-halo-halo and matter-matter-halo three-point functions. Several new bias coefficients are needed in the EFTofLSS, even though their contribution at a given order can be degenerate and the same parameters contribute to multiple observables. We develop a method to reduce the number of biases to an irreducible basis, and find that, at the order at which we work, seven bias parameters are enough to describe this extremely rich set of statistics. We then compare with the output of an N-body simulation where the normalization parameter of the linear power spectrum is set to σ8 = 0.9. For the lowest mass bin, we find percent level agreement up to k≃ 0.3 h Mpc−1 for the one-loop two-point functions, and up to k≃ 0.15 h Mpc−1 for the tree-level three-point functions, with the k-reach decreasing with higher mass bins. This is consistent with the theoretical estimates, and suggests that the cosmological information in LSS amenable to analytical control is much more than previously believed.
Subfields: Astronomy and Astrophysics, Instrumentation
View Paper: https://www.semanticscholar.org/paper/4049ec30bcf70749b92378421872d54fdd37fdf9
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Citations in the corpus
- The cosmological analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure (2019, methodology): “Indeed, using a basis of renormalized bias coefficients allows one to identify the constant piece of the bispectrum as the square of the constant piece of the power spectrum [48].”
- Limits on wCDM from the EFTofLSS with the PyBird code (2020, methodology): “Neutrinos has been included in the EFTofLSS in [43, 44], clustering dark energy in [45, 18, 46, 47], and primordial non-Gaussianities in [37, 48, 49, 50, 42, 51].”
- Bias in the effective field theory of large scale structures (2014, methodology): “This basis was successfully used to compare the predictions of this theory with simulations in a subsequent paper [25].”
- Biased Tracers in Redshift Space in the EFT of Large-Scale Structure (2016, methodology): “From the equations of motion we find that η(2) = 2 7(s (1))2 − 4 21(δ (1))2 [39, 13, 18], so we can define a parameter ψ that is nonzero starting only at third order, ψ ≡ η − 2 7 s(2) + 4 21 δ(2) .”
- The Hubble tension in light of the Full-Shape analysis of Large-Scale Structure data (2020, background): “Biased tracers, such as halos and galaxies, have been studied in the context of the EFTofLSS in [24, 36–40] (see also [41]), the halo and matter power spectra and bispectra (including all cross correlations) in [24, 37].”
- Redshift-space distortions in Lagrangian perturbation theory (2020, background): “A number of technical points In both cases we will only consider the effective field theory (EFT) approach to PT, see [12–17] and references therein.”