Measuring Bias via the Consistency Relations of the Large Scale Structure

Abstract

Consistency Relations (CR) for the Large Scale Structure are exact equalities between correlation functions of different order. These relations descend from the equivalence principle and hold for primordial perturbations generated by single-field models of inflation. They are not affected by nonlinearities and hold also for biased tracers and in redshift space. We show that Baryonic Acoustic Oscillations (BAO) in the bispectrum (BS) in the squeezed limit are suppressed with respect to those in the power spectrum (PS) by a coefficient that depends on the BS configuration and on the bias parameter (and, in redshift space, also on the growth rate). We test these relations using large volume N-body simulations and show that they provide a novel way to measure large scale halo bias and, potentially, the growth rate. Since bias is obtained by comparing two directly observable quantities, the method is free from theoretical uncertainties both on the computational scheme and on the underlying cosmological model.

arXiv comment8 pages, matches with the published version

References in corpus (14)

• The cosmological simulation code GADGET-2
• The Rockstar Phase-Space Temporal Halo Finder and the Velocity Offsets of Cluster Cores
• Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
• Accurate Estimators of Correlation Functions in Fourier Space
• Equivalence Principle and the Baryon Acoustic Peak
• Dark Quest. I. Fast and Accurate Emulation of Halo Clustering Statistics and Its Application to Galaxy Clustering
• Loop Corrections in Non-Linear Cosmological Perturbation Theory
• Symmetries and Consistency Relations in the Large Scale Structure of the Universe
• The Bispectrum in the Effective Field Theory of Large Scale Structure
• Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure
• Single-Field Consistency Relations of Large Scale Structure. Part II: Resummation and Redshift Space
• Ward identities and consistency relations for the large scale structure with multiple species
• Structure formation beyond shell-crossing: nonperturbative expansions and late-time attractors
• A non-perturbative test of consistency relations and their violation

Cited by in corpus (7)

• Constraints on modified gravity from the BOSS galaxy survey
• The Covariance of Squeezed Bispectrum Configurations
• Violation of the consistency relations for large-scale structure with dark energy
• Squeezing $f_{\mathrm{NL}}$ out of the matter bispectrum with consistency relations
• Model independent measurement of the growth rate from the consistency relations of the LSS
• Non-Gaussian assembly bias from a semi-analytic galaxy formation model
• The Large Scale Structure Bootstrap: perturbation theory and bias expansion from symmetries