Convolution Lagrangian perturbation theory for biased tracers

By Jordan Carlson, B. Reid, M. White. 2012

186 citations recorded by the source corpus.

We present a new formulation of Lagrangian perturbation theory which allows accurate predictions of the real- and redshift-space correlation funct ions of the mass field and dark matter halos. Our formulation involves a non-perturbative resummation of Lagrangian perturbation theory and indeed can be viewed as a partial resummation of the formalism of Matsubara (2008a,b) in which we keep exponentiated all of the terms which tend to a constant at large separation. One of the key features of our method is that we naturally recover the Zel’dovich approximation as the lowest order of our expansion for the matter correlation function. We compare our results against a suite of N-body simulations and obtain good agreement for the correlation functions in real-space and for the monopole co rrelation function in redshift space. The agreement becomes worse for higher multipole moments of the redshift-space, halo correlation function. Our formalism naturally includes non-l inear bias and explains the strong bias-dependence of the multipole moments of the redshift-space correlation function seen in N-body simulations.

Subfields: Astronomy and Astrophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/23c3cafb43c892bdb8948b4b62571fd32589477d

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Citations in the corpus

Redshift-space distortions in Lagrangian perturbation theory (2020, methodology): “Setting F = 1, for matter, the bracketed average can expressed using the cumulant theorem as [19]”
The IR-resummed Effective Field Theory of Large Scale Structures (2014, unknown): “Here we follow the conventions of [9].”
The cosmological analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure (2019, background): “Here we name, as an example, a 4In the sense of asymptotic series such as Quantum Electrodynamics. few of the perturbative approaches that were developed prior to the EFTofLSS and that were essential for the development of the EFTofLSS, and we list a very-small sample of the relevant references: Zel”
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample (2016, methodology): “The multipoles are modelled using Convolution Lagrangian Perturbation Theory (CLPT) and the Gaussian Streaming model (GSM) (Carlson et al. 2013; Wang et al. 2014).”
Nonlinear perturbation theory extension of the Boltzmann code CLASS (2020, methodology): “While CLASS-PT is entirely based on Eulerian perturbation theory, it is worth emphasizing that similar progress has been made in Lagrangian Perturbation Theory (LPT) as well [61–66].”
Bias in the effective field theory of large scale structures (2014, background): “So far, this derivation of the Lagrangian bias is similar to what done in [19] in the case of a local Lagrangian bias.”
The Lagrangian-space Effective Field Theory of large scale structures (2013, background): “This expression can be evaluated as follows (following the notation in [15]):”
Consistent modeling of velocity statistics and redshift-space distortions in one-loop perturbation theory (2020, methodology): “One of the more time-consuming steps in computing LSS statistics beyond linear order in perturbation theory is the evaluation of one-loop integrals [33, 34, 51].”
Mock galaxy catalogues using the quick particle mesh method (2013, methodology): “We generate this correlation function using CLPT, as described in Carlson et al. (2013).”
The Effective Field Theorist's Approach to Gravitational Dynamics (2016, background): “ stands for the ‘connected’ multipoles, see [153]. The expectation value of the exponential of a quantity can be performed as the exponential of the connected cumulants of the same quantity, see e.g. [392]. This exponentiation may be useful to perform resummations, as we discuss brie y in sec.13. 11”
The DESI Experiment Part I: Science,Targeting, and Survey Design (2016, methodology): “There are a plethora of approaches [72, 73, 74, 57, 58, 59] to modeling redshift space distortions in the literature, and the analyses in Table 2.”
A Lagrangian effective field theory (2015, methodology): “A straightforward calculation (see [15, 17] for further details) gives”
On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures (2015, background): “In the literature there exist several versions of perturbations theory where a subset of the SPT diagrams is resummed, such as Renormalized Perturbation Theory (RPT) [17], or the Lagrangian formulation (see for example [18, 19]).”
Testing Inflation with Large Scale Structure: Connecting Hopes with Reality (2014, background): “[184], Matsubara [185]), but most of them have calculated the non-linear matter power spectrum; therefore, non-linearities in the galaxy bias [186–189] and redshift-space distortion [190] must be included.”