A Caltech Library Service

The 2pt+: an enhanced 2 point correlation function

Ave, M. and Cazon, L. and Cronin, J. and de Mello Neto, J. R. T. and Olinto, A. V. and Pavlidou, V. and Privitera, P. and Siffert, B. B. and Schmidt, F. and Venters, T. (2009) The 2pt+: an enhanced 2 point correlation function. Journal of Cosmology and Astroparticle Physics, 2009 (07). Art. No. 023. ISSN 1475-7516.

[img] PDF - Published Version
Restricted to Repository administrators only
See Usage Policy.


Use this Persistent URL to link to this item:


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.

Item Type:Article
Related URLs:
URLURL TypeDescription
Additional Information:Copyright © IOP Publishing Ltd and SISSA 2009. Received 15 May 2009, accepted for publication 9 June 2009. Published 15 July 2009. We thank the Pierre Auger Collaboration for inspiring this work and for many discussions about testing isotropy with sparsely sample spherical datasets. This work was supported in part by NSF PHY-0758017 and by the KICP under NSF PHY-0551142 at the University of Chicago. VP acknowledges support by NASA through the GLAST Fellowship Program, NASA Cooperative Agreement: NNG06DO90A. TV acknowledges support by the NSF Graduate Research Fellowship Program.
Funding AgencyGrant Number
Subject Keywords:cosmic ray theory; ultra high energy cosmic rays; extragalactic magnetic fields; galactic magnetic fields
Issue or Number:07
Record Number:CaltechAUTHORS:20091013-093450365
Persistent URL:
Official Citation:The 2pt+: an enhanced 2 point correlation function M. Ave, L. Cazon, J. Cronin, J.R.T. de Mello Neto, A.V. Olinto, V. Pavlidou, P. Privitera, B.B. Siffert, F. Schmidt and T. Venters JCAP07(2009)023 doi: 10.1088/1475-7516/2009/07/023
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:16307
Deposited By: George Porter
Deposited On:22 Oct 2009 22:34
Last Modified:03 Oct 2019 01:09

Repository Staff Only: item control page