Constraining the expansion history of the universe from the red shift evolution of cosmic shear
Daniel Levy, Ram Brustein

TL;DR
This paper analyzes how measuring the redshift evolution of cosmic shear, especially through angular multipole moments, can significantly improve constraints on the universe's dark energy equation of state compared to traditional power spectrum methods.
Contribution
It introduces a comparative analysis showing that angular multipole measurements of cosmic shear provide tighter constraints on dark energy parameters than power spectrum methods.
Findings
Multipole moments yield better constraints on dark energy.
Redshift evolution of cosmic shear is a powerful probe.
Accurate measurements at a few redshifts are highly beneficial.
Abstract
We present a quantitative analysis of the constraints on the total equation of state parameter that can be obtained from measuring the red shift evolution of the cosmic shear. We compare the constraints that can be obtained from measurements of the spin two angular multipole moments of the cosmic shear to those resulting from the two dimensional and three dimensional power spectra of the cosmic shear. We find that if the multipole moments of the cosmic shear are measured accurately enough for a few red shifts the constraints on the dark energy equation of state parameter improve significantly compared to those that can be obtained from other measurements.
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