The one-loop bispectrum of galaxies in redshift space from the Effective Field Theory of Large-Scale Structure

Nov 30, 2022
28 pages
Published in:
  • JCAP 07 (2024) 041
  • Published: Jul 18, 2024
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Abstract: (IOP)
We derive the Effective Field Theory of Large-Scale Structure kernels and countertermsfor the one-loop bispectrum of dark matter and of biased tracers in real and redshift space. Thisrequires the expansion of biased tracers up to fourth order in fluctuations. In the process, weencounter several subtleties related to renormalization. One is the fact that, in renormalizingthe momentum, a local counterterm contributes non-locally. A second subtlety is related to therenormalization of local products of the velocity fields, which need to be expressed in terms ofthe renormalized velocity in order to preserve Galilean symmetry. We check that the countertermswe identify are necessary and sufficient to renormalize the one-loop bispectrum at leading andsubleading order in the derivative expansion. The kernels that we originally present here havealready been used for the first analyses of the one-loop bispectrum in BOSSdata [1,2].
Note:
  • 39 + 28 pages, typos corrected, some expanded comments, ancillary Mathematica file in "Other formats"
  • galaxy clustering
  • gravity
  • galaxy surveys
  • redshift surveys
  • expansion: derivative
  • symmetry: Galilei
  • bispectrum
  • renormalization
  • redshift: dependence
  • structure