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  The effective field theory and perturbative analysis for log-density fields

Rubira, H., & Voivodic, R. (2021). The effective field theory and perturbative analysis for log-density fields. Journal of Cosmology and Astroparticle Physics, 2021(3): 70. doi:10.1088/1475-7516/2021/03/070.

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Rubira, Henrique, Author
Voivodic, Rodrigo1, Author              
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1Physical Cosmology, MPI for Astrophysics, Max Planck Society, ou_2205644              

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 Abstract: A logarithm transformation over the matter overdensity field δ brings information from the bispectrum and higher-order n-point functions to the power spectrum. We calculate the power spectrum for the log-transformed field A at one, two and three loops using perturbation theory (PT). We compare the results to simulated data and give evidence that the PT series is asymptotic already on large scales, where the k modes no longer decouple. This motivates us to build an alternative perturbative series for the log-transformed field that is not constructed on top of perturbations of δ but directly over the equations of motion for A itself. This new approach converges faster and better reproduces the large scales at low z. We then show that the large-scale behaviour for the log-transformed field power spectrum can be captured by a small number of free parameters. Finally, we add the counter-terms expected within the effective field theory framework and show that the theoretical model, together with the IR-resummation procedure, agrees with the measured spectrum with percent precision until k ≃0.38 Mpc−1h at z=0. It indicates that the non-linear transformation indeed linearizes the density field and, in principle, allows us to access information contained on smaller scales.

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Language(s): eng - English
 Dates: 2021-03-22
 Publication Status: Published online
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 Rev. Type: Peer
 Identifiers: DOI: 10.1088/1475-7516/2021/03/070
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Title: Journal of Cosmology and Astroparticle Physics
  Abbreviation : J. Cosmol. Astropart. Phys.
  Abbreviation : JCAP
Source Genre: Journal
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Pages: - Volume / Issue: 2021 (3) Sequence Number: 70 Start / End Page: - Identifier: ISSN: 1475-7516