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- W3137027293 endingPage "070" @default.
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- W3137027293 abstract "A logarithm transformation over the matter overdensity field $delta$ 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 $delta$ 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 simeq 0.38 $ Mpc$^{-1}$h 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." @default.
- W3137027293 created "2021-03-29" @default.
- W3137027293 creator A5085342877 @default.
- W3137027293 creator A5091891453 @default.
- W3137027293 date "2021-03-01" @default.
- W3137027293 modified "2023-09-27" @default.
- W3137027293 title "The effective field theory and perturbative analysis for log-density fields" @default.
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- W3137027293 doi "https://doi.org/10.1088/1475-7516/2021/03/070" @default.
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