Our Non-Gaussian Universe: Higher Order Correlation Functions In Galaxy Surveys

Mathematics – Logic

Scientific paper

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Scientific paper

Modern galaxy surveys provide a wealth of information about large scale structure, galaxy formation, galaxy evolution and cosmology. The statistical strength of these observational datasets has been able to distinguish subtle differences in theory (e.g. departures from power law clustering) as well give precise measurements of cosmological phenomena to better understand the nature of dark energy (e.g. baryon acoustic oscillations). Although measurements of the cosmic microwave background suggest that early conditions were extremely Gaussian, gravitational collapse predicts the growth of non-Gaussianities in the galaxy distribution. Higher order clustering statistics, such as the 3pt correlation function (3PCF), are necessary to investigate the non-Gaussian structure and shape information of these distributions.
I will discuss measuring the 3PCF in the Sloan Digital Sky Survey, focusing on our utilization of these measurements for theoretical constraints. A thorough understanding of the systematics and biases is crucial. Subtle effects from binning can obscure signals one expects to find. Insufficient error resolution can lead to inaccurate constraints with artificially high signal to noise. I will present our fits of galaxy-mass bias parameters. I will highlight the necessity of the more sophisticated methods of analysis recently employed by the community. Finally, I will discuss a context for future analysis that measurements of the 3PCF can impact while addressing ongoing work.

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