Resummed Perturbation Theory of Galaxy Clustering

Abstract

The relationship between observed tracers such as galaxies and the underlying dark matter distribution is crucial in extracting cosmological information. As the linear bias model breaks down at quasi-linear scales, the standard perturbative approach of the nonlinear Eulerian bias model (EBM) is not accurate enough in describing galaxy clustering. In this paper, we discuss such a model in the context of resummed perturbation theory, and further generalize it to incorporate the subsequent gravitational evolution by combining with a Lagrangian description of galaxies' motion. The multipoint propagators we constructed for such model also exhibit exponential damping similar to their dark matter counterparts, therefore the convergence property of statistics built upon these quantities is improved. This is achieved by applying both Eulerian and Lagrangian resummation techniques of dark matter field developed in recent years. As inherited from the Lagrangian description of galaxy density evolution, our approach automatically incorporates the non-locality induced by gravitational evolution after the formation of the tracer, and also allows us to include a continuous galaxy formation history by temporally weighted-averaging relevant quantities with the galaxy formation rate.

19 pages, 18 figures, submitted to PRD

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• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological constraints from the full shape of the clustering wedges
• An analytic model for redshift-space distortions
• MPTbreeze: A fast renormalized perturbative scheme
• Ward identities and consistency relations for the large scale structure with multiple species
• Nonlinear Power Spectrum from Resummed Perturbation Theory: a Leap Beyond the BAO Scale
• Perturbation theory approach for the power spectrum: from dark matter in real space to massive haloes in redshift space
• How does non-linear dynamics affect the baryon acoustic oscillation?
• Halo Sampling, Local Bias and Loop Corrections
• Impact of bias and redshift-space modelling for the halo power spectrum: Testing the effective field theory of large-scale structure
• Using Lagrangian perturbation theory for precision cosmology
• On the Statistical Evolution of the Large-scale Structure and the Effective Dynamics