Variation of fundamental parameters and dark energy. A principal component approach

TL;DR

This paper explores a Principal Component Analysis method to constrain dark energy's equation of state by combining supernova data and spectroscopic measurements of fundamental couplings, aiming for detailed high-redshift characterization.

Contribution

It introduces a PCA-based approach to jointly analyze supernovae and spectroscopic data for dark energy constraints, emphasizing future high-quality datasets from ESO spectrographs.

Findings

Potential to characterize dark energy properties up to redshift 4.

Enhanced constraints with upcoming ESO spectrograph data.

Method's performance improves with better data quality.

Abstract

We discuss methods based on Principal Component Analysis to constrain the dark energy equation of state using a combination of Type Ia supernovae at low redshift and spectroscopic measurements of varying fundamental couplings at higher redshifts. We discuss the performance of this method when future better-quality datasets are available, focusing on two forthcoming ESO spectrographs - ESPRESSO for the VLT and CODEX for the E-ELT - which include these measurements as a key part of their science cases. These can realize the prospect of a detailed characterization of dark energy properties almost all the way up to redshift 4.