Matches in SemOpenAlex for { <https://semopenalex.org/work/W3101458985> ?p ?o ?g. }
- W3101458985 endingPage "044" @default.
- W3101458985 startingPage "044" @default.
- W3101458985 abstract "Angular cosmological correlators are infamously difficult to compute due to the highly oscillatory nature of the projection integrals. Motivated by recent development on analytic approaches to cosmological perturbation theory, in this paper we present an efficient method for computing cosmological four-point correlations in angular space, generalizing previous works on lower-point functions. This builds on the FFTLog algorithm that approximates the matter power spectrum as a sum over power-law functions, which makes certain momentum integrals analytically solvable. The computational complexity is drastically reduced for correlators in a separable form---we define a suitable notion of separability for cosmological trispectra, and derive formulas for angular correlators of different separability classes. As an application of our formalism, we compute the angular galaxy trispectrum at tree level, with and without primordial non-Gaussianity. This includes effects of redshift space distortion and bias parameters up to cubic order. We also compute the non-Gaussian covariance of the angular matter power spectrum due to the connected four-point function, beyond the Limber approximation. We demonstrate that, in contrast to the standard lore, the Limber approximation can fail for the non-Gaussian covariance computation even for large multipoles." @default.
- W3101458985 created "2020-11-23" @default.
- W3101458985 creator A5004773670 @default.
- W3101458985 creator A5070286426 @default.
- W3101458985 date "2020-05-26" @default.
- W3101458985 modified "2023-10-16" @default.
- W3101458985 title "Cosmological angular trispectra and non-Gaussian covariance" @default.
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