Biased tracers and time evolution

By Mehrdad Mirbabayi, F. Schmidt, M. Zaldarriaga. 2014

175 citations recorded by the source corpus.

We study the effect of time evolution on galaxy bias. We argue that at any order in perturbations, the galaxy density contrast can be expressed in terms of a finite set of locally measurable operators made of spatial and temporal derivatives of the Newtonian potential. This is checked in an explicit third order calculation. There is a systematic way to derive a basis for these operators. This basis spans a larger space than the expansion in gravitational and velocity potentials usually employed, although new operators only appear at fourth order. The basis is argued to be closed under renormalization. Most of the arguments also apply to the structure of the counter-terms in the effective theory of large-scale structure.

Subfields: Astronomy and Astrophysics, Instrumentation

View Paper: https://www.semanticscholar.org/paper/5807353bcbdf5d4490520287dc64daa05d1035dc

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Citations in the corpus

Limits on wCDM from the EFTofLSS with the PyBird code (2020, background): “of the EFTofLSS in [24, 36, 37, 38, 39, 40] (see also [41]), the halo and matter power spectra and bispectra (including all cross correlations) in [24, 37].”
The cosmological analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure (2019, methodology): “Passing to biased tracers, they have been studied in the context of the EFTofLSS in [9, 47, 48, 49, 50, 51] (see also [52]), the halo power spectrum and bispectrum including all cross correlations with the dark matter field have been studied and compared with simulations in [9, 48].”
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, 37, 38, 39, 40] (see also [41]), the halo and matter power spectra and bispectra (including all cross correlations) in [24, 37].”
Cosmological parameters from the BOSS galaxy power spectrum (2019, background): “For the theory to be consistent, there must be counterterms to cancel the 10As pointed out in [14, 57] the evolution of biased tracers is non-local in time, which leads to appearance of bias operators that cannot be written in terms of tidal tensor ∂i∂jΦ at a finite time slice.”
On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures (2015, methodology): “3 Interestingly, it turns out that up to the third perturbative order in the fields, once the degeneracies are dealt with, local in time operators make up the full basis (see also [15]).”
Nonlinear perturbation theory extension of the Boltzmann code CLASS (2020, background): “Furthermore, since the formation of biased tracers is nonlocal in time [55], the expansion has to include additional terms that cannot be expressed in terms of local operators involving only two derivatives of gravitational and velocity potentials [55–57].”
Bias in the effective field theory of large scale structures (2014, background): “[24] appeared, which, among many things, elaborates on some of the findings on this paper and in particular on the time non-locality.”
Biased Tracers in Redshift Space in the EFT of Large-Scale Structure (2016, background): “years the Effective Field Theory of Large-Scale Structure 1 (EFTofLSS) [2, 3, 4, 5] has provided a tool where predictions in the mildly non-linear regime can be delivered with an at-least-in-principle arbitrary theoretical precision, and most probably with a precision that should be enough for next ”