Consistency relations for large-scale structures with primordial non-Gaussianities

Patrick Valageas, Atsushi Taruya, and Takahiro Nishimichi
Phys. Rev. D 95, 023504 – Published 9 January 2017

Abstract

We investigate how the consistency relations of large-scale structures are modified when the initial density field is not Gaussian. We consider both scenarios where the primordial density field can be written as a nonlinear functional of a Gaussian field and more general scenarios where the probability distribution of the primordial density field can be expanded around the Gaussian distribution, up to all orders over δL0. Working at linear order over the non-Gaussianity parameters fNL(n) or Sn, we find that the consistency relations for the matter density fields are modified as they include additional contributions that involve all-order mixed linear-nonlinear correlations δLδ. We derive the conditions needed to recover the simple Gaussian form of the consistency relations. This corresponds to scenarios that become Gaussian in the squeezed limit. Our results also apply to biased tracers and velocity or momentum cross-correlations.

  • Received 4 October 2016

DOI:https://doi.org/10.1103/PhysRevD.95.023504

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Patrick Valageas1,2, Atsushi Taruya3,4, and Takahiro Nishimichi4,5

  • 1Institut de Physique Théorique, CEA, IPhT, F-91191 Gif-sur-Yvette, Cédex, France
  • 2CNRS, URA 2306, F-91191 Gif-sur-Yvette, Cédex, France
  • 3Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
  • 4Kavli Institute for the Physics and Mathematics of the Universe, Todai Institutes for Advanced Study, the University of Tokyo, Kashiwa, Chiba 277-8583, Japan (Kavli IPMU, WPI)
  • 5CREST, JST, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan

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Issue

Vol. 95, Iss. 2 — 15 January 2017

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