The Effective Field Theory of Large Scale Structures at two loops

By J. J. Carrasco, S. Foreman, D. Green, L. Senatore. 2013

188 citations recorded by the source corpus.

Large scale structure surveys promise to be the next leading probe of cosmological information. It is therefore crucial to reliably predict their observables. The Effective Field Theory of Large Scale Structures (EFTofLSS) provides a manifestly convergent perturbation theory for the weakly non-linear regime of dark matter, where correlation functions are computed in an expansion of the wavenumber k of a mode over the wavenumber associated with the non-linear scale kNL. Since most of the information is contained at high wavenumbers, it is necessary to compute higher order corrections to correlation functions. After the one-loop correction to the matter power spectrum, we estimate that the next leading one is the two-loop contribution, which we compute here. At this order in k/kNL, there is only one counterterm in the EFTofLSS that must be included, though this term contributes both at tree-level and in several one-loop diagrams. We also discuss correlation functions involving the velocity and momentum fields. We find that the EFTofLSS prediction at two loops matches to percent accuracy the non-linear matter power spectrum at redshift zero up to k∼ 0.6 h Mpc−1, requiring just one unknown coefficient that needs to be fit to observations. Given that Standard Perturbation Theory stops converging at redshift zero at k∼ 0.1 h Mpc−1, our results demonstrate the possibility of accessing a factor of order 200 more dark matter quasi-linear modes than naively expected. If the remaining observational challenges to accessing these modes can be addressed with similar success, our results show that there is tremendous potential for large scale structure surveys to explore the primordial universe.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/867aabdef874661d3c22c8e7fc53fe1e5f342006

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Citations in the corpus

The bispectrum in the Effective Field Theory of Large Scale Structure (2014, background): “[9, 10] that since before virialization the short scales evolve on a time-scale comparable with that of large scales, namely the Hubble time, they have a long memory and their back-reaction on the large-scale dynamics leads to an EFT that is non-local in time.”
Limits on wCDM from the EFTofLSS with the PyBird code (2020, methodology): “The dark matter power spectrum has been computed at one-, twoand three-loop orders in [8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19].”
Biased Tracers in Redshift Space in the EFT of Large-Scale Structure (2016, background): “The resulting stochastic field (~x, t) is expected to be Poisson distributed, to have zero mean and to correlate only with itself and not the other perturbative fields [3, 7].”
Nonlinear perturbation theory extension of the Boltzmann code CLASS (2020, background): “Since these free parameters—the counterterms— capture the effects of the poorly-known short-scale physics, including them in the power spectrum significantly improves the performance of the theory [36, 37].”
The Lagrangian-space Effective Field Theory of large scale structures (2013, methodology): “ξ(~r) = 〈δm,L(~x1, η1) δm,L(~x2, η2)〉 , (108) For example in the notation of [11]:”
Renormalized halo bias (2014, methodology): “1 [23] near the non-linear scale (at z = 0) to n ≈ 1 on large scales.”
The cosmological analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure (2019, methodology): “The dark matter power spectrum has been computed at one-, two- and three-loop orders in [8, 10, 11, 12, 13, 14, 15, 16, 6, 17, 18].”
Bias in the effective field theory of large scale structures (2014, methodology): “In [5] it was also noticed that the structure of the time-dependence in perturbation theory implies that at each order in perturbation theory the non-locality in time can be accounted for by allowing for a different value of a given counterterm.”
The Effective Field Theorist's Approach to Gravitational Dynamics (2016, methodology): “It is possible, nonetheless, to approximate relatively well the real universe –modulo the BAO oscillations– with a piece-wise power spectrum of the form [355]”
The IR-resummed Effective Field Theory of Large Scale Structures (2014, methodology): “We follow [6] for the results in the Eulerian EFT.”
On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures (2015, background): “Since there is no hierarchy in time, the EFTofLSS for biased tracers is non-local in time [4, 6, 12], so there is no rigorously justified analogous expansion in ωL/ωS .”
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”
Efficient cosmological analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure (2019, methodology): “The dark matter power spectrum has been computed at one-, two- and three-loop orders in [8, 10, 11, 12, 13, 14, 15, 16, 6, 17, 18].”
The Hubble tension in light of the Full-Shape analysis of Large-Scale Structure data (2020, methodology): “The dark matter power spectrum has been computed at one-, twoand three-loop orders in [8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19].”