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Cosmic propagators at two-loop order

Francis Bernardeau1, Atsushi Taruya2,3, and Takahiro Nishimichi3

  • 1Institut de Physique Théorique, CEA, IPhT, and CNRS, URA 2306, F-91191 Gif-sur-Yvette, France
  • 2Research Center for the Early Universe, School of Science, The University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan
  • 3Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU, WPI), Todai Institutes for Advanced Study, The University of Tokyo, Kashiwa, Chiba 277-8583, Japan

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Phys. Rev. D 89, 023502 – Published 8 January, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.023502

Abstract

We explore the properties of two-point cosmic propagators when perturbation theory loop corrections are consistently taken into account. We show in particular how the interpolation scheme proposed in [F. Bernardeau, M. Crocce, and R. Scoccimarro, Phys. Rev. D 85, 123519 (2012)] can be explicitly used up to two-loop order introducing the notion of regular parts for the contributing terms. Extending the one-loop results, we then derive and give semianalytical forms of the two-loop contributions for both the cosmic density and velocity propagators. These results are tested against numerical simulations and shown to significantly improve upon one-loop results for redshifts above 0.5. We found however that at lower redshift two-loop order corrections are too large partly due to a strong sensitivity of those terms to the small scale modes. We show that this dependence is expected to be even larger for higher order loop corrections both from theoretical investigations and numerical tests, the latter obtained with Monte Carlo evaluations of the three-loop contributions. This makes small-scale regularization schemes necessary for the use of such higher order corrections.

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References (43)

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Phys. Rev. D 89, 023502– Published 8 January, 2014
  • Received 22 November 2012

© 2014 American Physical Society

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