Bias in the effective field theory of large scale structures

By L. Senatore. 2014

211 citations recorded by the source corpus.

We study how to describe collapsed objects, such as galaxies, in the context of the Effective Field Theory of Large Scale Structures. The overdensity of galaxies at a given location and time is determined by the initial tidal tensor, velocity gradients and spatial derivatives of the regions of dark matter that, during the evolution of the universe, ended up at that given location. Similarly to what was recently done for dark matter, we show how this Lagrangian space description can be recovered by upgrading simpler Eulerian calculations. We describe the Eulerian theory. We show that it is perturbatively local in space, but non-local in time, and we explain the observational consequences of this fact. We give an argument for why to a certain degree of accuracy the theory can be considered as quasi time-local and explain what the operator structure is in this case. We describe renormalization of the bias coefficients so that, after this and after upgrading the Eulerian calculation to a Lagrangian one, the perturbative series for galaxies correlation functions results in a manifestly convergent expansion in powers of k/kNL and k/kM, where k is the wavenumber of interest, kNL is the wavenumber associated to the non-linear scale, and kM is the comoving wavenumber enclosing the mass of a galaxy.

Subfields: Astronomy and Astrophysics, Instrumentation

View Paper: https://www.semanticscholar.org/paper/b1e258e05a4977e5947c5759d73ab39c12b742cb

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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, background): “Biased tracers, such as halos and galaxies, have been studied in the context of the EFTofLSS in [23, 33, 34, 35, 36, 37] (see also [38]), the halo and matter power spectra and bispectra (including all cross correlations) in [23, 34].”
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) .”
On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures (2015, methodology): “2 we will develop a method to reduce the basis of terms in [12] to a set of linearly independent ones (see also [15] where an analogous irreducible basis has recently been constructed from the basis in [12] in a way that is different, and maybe more elegant, from the one we do here).”
Efficient cosmological analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure (2019, background): “Biased tracers, such as halos and galaxies, have been studied in the context of the EFTofLSS in [23, 33, 34, 35, 36, 37] (see also [38]), the halo and matter power spectra and bispectra (including all cross correlations) in [23, 34].”
The Hubble tension in light of the Full-Shape analysis of Large-Scale Structure data (2020, methodology): “Neutrinos have been included in the EFTofLSS in [43, 44], clustering dark energy in [18, 45–47], and primordial non-Gaussianities in [37, 42, 48– 51].”
Nonlinear perturbation theory extension of the Boltzmann code CLASS (2020, background): “Using the particular bias expansion given above, the one-loop auto-power spectrum of the bias tracers takes the following form [54, 55, 58],”
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.”
Consistent modeling of velocity statistics and redshift-space distortions in one-loop perturbation theory (2020, background): “Indeed, these two approaches are a subset of a more general scenario in which the response of tracer formation to the large-scale structure is local in space but not in time, requiring us to take into account the evolution of the density field in the neighborhood around a tracer’s trajectory; fortun”
Combining full-shape and BAO analyses of galaxy power spectra: a 1.6% CMB-independent constraint on H0 (2020, methodology): “Creating a consistent model has been a subject of much work, but recent advances have led to the development of the ‘Effective Field Theory of Large Scale Structure’ (hereafter EFT) [36, 37], with extensions incorporating galaxy bias [38–41], redshift-space distortions [42, 43] and higher-order corr”
Limits on wCDM from the EFTofLSS with the PyBird code (2020, methodology): “These calculations were accompanied by some theoretical developments of the EFTofLSS, such as a careful understanding of renormalization [8, 20, 21] (including rather-subtle aspects such as lattice-running [8] and a better understanding of the velocity field [10, 22]), of the several ways for extrac”
COSMOLIKE - cosmological likelihood analyses for photometric galaxy surveys (2016, background): “Perturbative models for galaxy biasing in the quasi-linear regime is an active area of research (e.g. McDonald & Roy 2009; Angulo et al. 2015; Senatore 2015), and the model for galaxy clustering and galaxy–galaxy lensing in equation (9) needs to be updated for analyses of galaxy clustering…”
The Ups and Downs of Early Dark Energy solutions to the Hubble tension: A review of models, hints and constraints circa 2023 (2023, background): “[232] Leonardo Senatore, “Bias in the Effective Field Theory of Large Scale Structures,” JCAP 1511, 007 (2015), arXiv:1406.”
Cosmological parameters from the BOSS galaxy power spectrum (2019, background): “This includes nonlinearities in the dark matter fluid [10, 11], the bias model [12–15] (for a review see [16]), and redshift space distortions [17, 18].”