On the Equivalence of Barrier Crossing, Peak-Background Split, and Local Biasing

Abstract

Several, apparently distinct, formalisms exist in the literature for predicting the clustering of dark matter halos. It has been noticed on a case-by-case basis that the predictions of these different methods agree in specific examples, but there is no general proof that they are equivalent. In this paper, we give a simple proof of the mathematical equivalence of barrier crossing, peak-background split, and local biasing.

20 pages, 1 figure

References in corpus (7)

• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• New Ekpyrotic Cosmology
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• Generating Ekpyrotic Curvature Perturbations Before the Big Bang
• Peak-Background Split, Renormalization, and Galaxy Clustering
• Stochastic Bias from Non-Gaussian Initial Conditions
• Non-Gaussianity and large-scale structure in a two-field inflationary model

Cited by in corpus (14)

• Cubic Halo Bias in Eulerian and Lagrangian Space
• Stochastic Bias from Non-Gaussian Initial Conditions
• Verifying the consistency relation for the scale-dependent bias from local primordial non-Gaussianity
• On the impact of galaxy bias uncertainties on primordial non-Gaussianity constraints
• Galaxy bias and primordial non-Gaussianity: insights from galaxy formation simulations with IllustrisTNG
• Using Large Scale Structure to test Multifield Inflation
• Lagrangian bias of generic large-scale structure tracers
• A Cosmic Microscope for the Preheating Era
• Measuring nonlocal Lagrangian peak bias
• Primordial non-Gaussianity in the bispectra of large-scale structure
• Cosmological Angular Trispectra and Non-Gaussian Covariance
• Non-Gaussian bias: insights from discrete density peaks
• Compensated Isocurvature Perturbations in the Galaxy Power Spectrum
• Loop-Induced Stochastic Bias at Small Wavevectors