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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The effective field theory of large scale structure at three loops

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Konstandin, Thomas [1] ; Porto, Rafael A. [2, 1] ; Rubira, Henrique [3, 1]
Total Authors: 3
[1] Deutsch Elektronen Synchrotron DESY, Notkestr 85, D-22607 Hamburg - Germany
[2] Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste - Italy
[3] Univ Hamburg, Inst Theoret Phys 2, D-22761 Hamburg - Germany
Total Affiliations: 3
Document type: Journal article
Source: Journal of Cosmology and Astroparticle Physics; n. 11 NOV 2019.
Web of Science Citations: 0

We study the power spectrum of dark matter density fluctuations in the framework of the Effective Field Theory of Large Scale Structures (EFT of LSS) up to three loop orders. We show that the extra coefficients in the EFT are sufficient to match numerical simulations with percent accuracy when a generic renormalization prescription is implemented (allowing for running of the individual counter-terms). We show that the level of accuracy increases with respect to the two loop results, up to k similar or equal to 0.4 h Mpc(-1) at redshift z = 0, although the overall improvement is somewhat marginal. At the same time, we argue there is evidence that the behavior of the loop expansion in the EFT of LSS is typical of an asymptotic series, already on the brink of its maximum predictive power (at z = 0). Hence, the inclusion of higher orders will likely deteriorate the matching to data, even at moderate values of k. Part of the reason for this behavior is due to large contributions to the (renormalized) power spectrum at three loop order from mildly non-linear scales, even after the UV counter-terms are included. In conclusion, the EFT of LSS to three loop orders provides the best approximation to the (deterministic part of the) power spectrum in the weakly non-linear regime at z = 0, and higher loops are not expected to improve our level of accuracy. (AU)

FAPESP's process: 17/09951-9 - Three loops matter power spectrum calculation using effective field theory
Grantee:Henrique Rubira
Support type: Scholarships abroad - Research Internship - Master's degree
FAPESP's process: 16/08700-0 - Effective field theory in large scale structure and 3 point correlation function calculus in the Dark Energy Survey
Grantee:Henrique Rubira
Support type: Scholarships in Brazil - Master