From matter to galaxies: General relativistic bias for the one-loop bispectrum

Juan Calles, Lina Castiblanco, JORGE IVAN NOREÑA SANCHEZ, Clément Stahl

Research output: Contribution to journalArticlepeer-review

Abstract

We write down the Lagrangian bias expansion in general relativity up to 4th order in terms of operators describing the curvature of an early-time hypersurface for comoving observers. They can be easily expanded in synchronous or comoving gauges. This is necessary for the computation of the one-loop halo bispectrum, where relativistic effects can be degenerate with a primordial non-Gaussian signal. Since the bispectrum couples scales, an accurate prediction of the squeezed limit behavior needs to be both non-linear and relativistic. We then evolve the Lagrangian bias operators in time in comoving gauge, obtaining non-local operators analogous to what is known in the Newtonian limit. Finally, we show how to renormalize the bias expansion at an arbitrary time and find that this is crucial in order to cancel unphysical 1/k2 divergences in the large-scale power spectrum and bispectrum that could be mistaken for a contamination to the non-Gaussian signal.

Original languageEnglish
Article number033
JournalJournal of Cosmology and Astroparticle Physics
Volume2020
Issue number7
DOIs
StatePublished - Jul 2020
Externally publishedYes

Keywords

  • Galaxy clusters
  • Power spectrum

Fingerprint Dive into the research topics of 'From matter to galaxies: General relativistic bias for the one-loop bispectrum'. Together they form a unique fingerprint.

Cite this