# Measuring Bias via the Consistency Relations of the Large Scale Structure

## TL;DR

This paper explores consistency relations in large scale structure, demonstrating how they can be used to measure bias and growth rate through observable correlations, validated by N-body simulations.

## Contribution

It introduces a novel method to measure large scale halo bias and growth rate using consistency relations, independent of theoretical uncertainties.

## Key findings

- BAO in bispectrum suppressed relative to power spectrum in squeezed limit
- Consistency relations validated by N-body simulations
- Method enables bias and growth rate measurement from observables

## 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.