To Bin or Not To Bin: Decorrelating the Cosmic Equation of State

Abstract

The physics behind the acceleration of the cosmic expansion can be elucidated through comparison of the predictions of dark energy equations of state to observational data. In seeking to optimize this, we investigate the advantages and disadvantages of using principal component analysis, uncorrelated bandpowers, and the equation of state within redshift bins. We demonstrate that no one technique is a panacea, with tension between clear physical interpretation from localization and from decorrelated errors, as well as model dependence and form dependence. Specific lessons include the critical role of proper treatment of the high redshift expansion history and the lack of a unique, well defined signal-to-noise or figure of merit.

26 pages, 28 figures

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• Distance, Growth Factor, and Dark Energy Constraints from Photometric Baryon Acoustic Oscillation and Weak Lensing Measurements
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• Cosmic expansion parametrization: Implication for curvature and ${\text{H}}_0$ tension
• Probing Dark Energy Dynamics from Current and Future Cosmological Observations
• Probing the dynamical behavior of dark energy
• Weak lensing and dark energy: the impact of dark energy on nonlinear dark matter clustering
• The Accelerating Universe
• Model Independent Early Expansion History and Dark Energy
• Biases on cosmological parameters by general relativity effects
• Generating and Analyzing Constrained Dark Energy Equations of State and Systematics Functions
• Constraining Models of Dark Energy
• Comparison of piecewise-constant methods for dark energy
• Old Dark Energy
• Complementarity of Future Dark Energy Probes
• Analysis of recent type Ia supernova data based on evolving dark energy models
• Characterising Dark Energy through supernovae
• Structural Limitations on Constraining the Time Evolution of Dark Energy