The 2pt+: an enhanced 2 point correlation function

Details The 2pt+: an enhanced 2 point correlation function The 2pt+: an enhanced 2 point correlation function

2009-05-13

arxiv.org/abs/0905.2192v1

JCAP 0907:023,2009

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

17 pages, 14 figures

Scientific paper

10.1088/1475-7516/2009/07/023

We introduce a new method for testing departure from isotropy of points on a sphere based on an enhanced form of the two-point correlation function that we named 2pt+. This method uses information from the two extra variables that define the vector between two points on a sphere. We show that this is a powerful method to test departure from isotropy of a distribution of points on a sphere especially when the number of events is small. We apply the method to a few examples in astronomy and discuss the relevance for limited datasets, such as the case of ultra-high energy cosmic rays.

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