Impacts of biasing schemes in the one-loop integrated perturbation theory

Abstract

The impact of biasing schemes on the clustering of tracers of the large-scale structure is analytically studied in the weakly nonlinear regime. For this purpose, we use the one-loop approximation of the integrated perturbation theory together with the renormalized bias functions of various, physically motivated Lagrangian bias schemes. These include the halo, peaks and excursion set peaks model, for which we derive useful formulae for the evaluation of their renormalized bias functions. The shapes of the power spectra and correlation functions are affected by the different bias models at the level of a few percent on weakly nonlinear scales. These effects are studied quantitatively both in real and redshift space. The amplitude of the scale-dependent bias in the presence of primordial non-Gaussianity also depends on the details of the bias models. If left unaccounted for, these theoretical uncertainties could affect the robustness of the cosmological constraints extracted from galaxy clustering data.

25 pages, 30 figures, Accepted for publication in PRD

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• Bias Loop Corrections to the Galaxy Bispectrum
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• Clustering of primordial black holes formed in a matter-dominated epoch
• Phenomenology of BAO evolution from Lagrangian to Eulerian Space
• Integrated perturbation theory for cosmological tensor fields. I. Basic formulation
• The statistics of peaks of weakly non-Gaussian random fields: Effects of bispectrum in two- and three-dimensions
• Integrated perturbation theory for cosmological tensor fields. III. Projection effects
• Integrated perturbation theory for cosmological tensor fields. II. Loop corrections
• Non-perturbative halo clustering from cosmological density peaks
• Integrated perturbation theory for cosmological tensor fields. IV. Full-sky formulation
• The large-separation expansion of peak clustering in Gaussian random fields
• Tidal shear and the consistency of microscopic Lagrangian halo approaches
• Velocity bias and the nonlinear perturbation theory of peaks
• Lagrangian Perturbation Theory for Biased Tracers: Significance of the Number Conservation
• On the Connection between Field-Level Inference and $n$-point Correlation Functions