Extending the Coyote emulator to dark energy models with standard $w_0$-$w_a$ parametrization of the equation of state

TL;DR

This paper extends the Coyote emulator to accurately predict non-linear matter power spectra for dark energy models with a time-varying equation of state using a mapping rule and N-body simulations.

Contribution

It introduces a new extension of the Coyote emulator for w_0-w_a dark energy models based on a spectral equivalence mapping, validated by simulations.

Findings

Spectral equivalence accurate to sub-percent level

Extended emulator effectively predicts non-linear spectra for w_0-w_a models

Provides tools for likelihood analyses in cosmology

Abstract

We discuss an extension of the Coyote emulator to predict non-linear matter power spectra of dark energy (DE) models with a scale factor dependent equation of state of the form w = w_0 + ( 1 - a )w_a . The extension is based on the mapping rule between non-linear spectra of DE models with constant equation of state and those with time varying one originally introduced in ref. [40]. Using a series of N-body simulations we show that the spectral equivalence is accurate to sub-percent level across the same range of modes and redshift covered by the Coyote suite. Thus, the extended emulator provides a very efficient and accurate tool to predict non-linear power spectra for DE models with w_0 - w_a parametrization. According to the same criteria we have developed a numerical code, and we have implemented in a dedicated module for the CAMB code, that can be used in combination with the Coyote Emulator in likelihood analyses of non-linear matter power spectrum measurements. All codes can be found at https://github.com/luciano-casarini/PKequal