Abstract
We develop the effective theory of large-scale structure for non-Gaussian initial conditions. The effective stress tensor in the dark matter equations of motion contains new operators, which originate from the squeezed limit of the primordial bispectrum. Parameterizing the squeezed limit by a scaling and an angular dependence, captures large classes of primordial non-Gaussianity. Within this parameterization, we classify the possible contributions to the effective theory. We show explicitly how all terms consistent with the symmetries arise from coarse graining the dark matter equations of motion and its initial conditions. We also demonstrate that the system is closed under renormalization and that the basis of correction terms is therefore complete. The relevant corrections to the matter power spectrum and bispectrum are computed numerically and their relative importance is discussed.
| Original language | English |
|---|---|
| Article number | 024 |
| Number of pages | 56 |
| Journal | Journal of Cosmology and Astroparticle Physics |
| Volume | 2015 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - Nov 2015 |
Funding
We thank Daniel Green, Hayden Lee and Fabian Schmidt for discussions. D.B. thanks the theory groups at CERN (Geneva), TAP (Paris), IoP (Amsterdam), BCTP (Bonn) and ICTP (Trieste) for their hospitality while parts of this work were being performed. V.A. thanks the ICTP (Trieste) for hospitality. D.B. and V.A. acknowledge support from a Starting Grant of the European Research Council (ERC STG grant 279617). E.P. and D.W. are supported by the D-ITP consortium, a program of the Netherlands Organization for Scientific Research (NWO) that is funded by the Dutch Ministry of Education, Culture and Science (OCW). Y.W. is supported by a de Sitter Fellowship of the Netherlands Organization for Scientific Research (NWO).
Keywords
- non-gaussianity
- cosmological perturbation theory
- COSMOLOGICAL PERTURBATION-THEORY