Observations of the large-scale structure of the Universe are one of the pillar supporting the standard cosmological model. Coming surveys are expected to shed new light on its still missing parts, such as the nature of dark energy and cosmic acceleration. They also can provide increasingly stringent tests of the inflationary paradigm offering a window on the high-energy physics that determined the early stages of the Universe. The unprecedented precision of future large-scale structure surveys however demands better accuracy in the modeling of the physics of gravitational instability. The purpose of this proposal is to extend our theoretical understanding of the formation of structures in the Universe, assessing the potentiality of new powerful perturbative techniques closely related to field-theoretical methods. Such tools will provide predictions for cosmological observables that will be able to match the precision of a wide variety of probes of the distant Universe such as cosmic shear and galaxies; furthermore, they will be complementary to and more flexible than computer simulations while allowing a more direct physical interpretation. Specifically, the goal is to obtain prescriptions for the matter power spectrum and bispectrum on a previously unaccessible wide range of physical scales. The results of this work will find immediate application to the analysis of data from ground-based surveys in development such as CFHT-LS and KIDS and will be even more important for forseen space-based missions such as DUNE.
Fields of science
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