| Full text | |
| Author(s): |
Konstandin, Thomas
;
Porto, Rafael A.
;
Rubira, Henrique
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Cosmology and Astroparticle Physics; v. N/A, n. 11, p. 26-pg., 2019-11-01. |
| Abstract | |
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 Opportunities: | 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 Opportunities: | Scholarships in Brazil - Master |