A Prescription for Galaxy Biasing Evolution as a Nuisance Parameter

TL;DR

This paper addresses the challenge of modeling galaxy bias evolution in cosmological studies, proposing a flexible bias model that improves parameter estimation and comparison across surveys.

Contribution

It introduces a generalized galaxy bias model that captures bias evolution with fewer nuisance parameters and reduces systematic errors in cosmological inference.

Findings

The bias model improves the Dark Energy Figure of Merit by a factor of 10.

Incorrect bias assumptions cause shifts in cosmological parameters.

The proposed model fits observational data well and serves as a benchmark for large-scale galaxy bias.

Abstract

There is currently no consistent approach to modelling galaxy bias evolution in cosmological inference. This lack of a common standard makes the rigorous comparison or combination of probes difficult. We show that the choice of biasing model has a significant impact on cosmological parameter constraints for a survey such as the Dark Energy Survey (DES), considering the 2-point correlations of galaxies in five tomographic redshift bins. We find that modelling galaxy bias with a free biasing parameter per redshift bin gives a Figure of Merit (FoM) for Dark Energy equation of state parameters w_0, w_a smaller by a factor of 10 than if a constant bias is assumed. An incorrect bias model will also cause a shift in measured values of cosmological parameters. Motivated by these points and focusing on the redshift evolution of linear bias, we propose the use of a generalised galaxy bias which encompasses a range of bias models from theory, observations and simulations, b(z) = c + (b_0 - c)/D(z)^alpha, where parameters c, b_0 and alpha depend on galaxy properties such as halo mass. For a DES-like galaxy survey we find that this model gives an unbiased estimate of w_0, w_a with the same number or fewer nuisance parameters and a higher FoM than a simple b(z) model allowed to vary in z-bins. We show how the parameters of this model are correlated with cosmological parameters. We fit a range of bias models to two recent datasets, and conclude that this generalised parameterisation is a sensible benchmark expression of galaxy bias on large scales.