Maximum likelihood method for cross-correlations with astrophysical sources

Ronnie Jansson; Glennys R. Farrar

doi:10.1088/1475-7516/2008/06/017

Maximum likelihood method for cross-correlations with astrophysical sources

Ronnie Jansson, Glennys R. Farrar

Research output: Contribution to journal › Article › peer-review

Abstract

We generalize the maximum likelihood-type method used to study cross-correlations between a catalog of candidate astrophysical sources and ultrahigh energy cosmic rays (UHECRs), to allow for differing source luminosities. The new method is applicable to any sparse dataset such as UHE gamma rays or astrophysical neutrinos. Performance of the original and generalized techniques is evaluated in simulations of various scenarios. Applying the new technique to data, we find an excess correlation of about nine events between HiRes UHECRs and known BLLacs, with a 6 × 10 ^-5 probability of such a correlation arising by chance.

Original language	English (US)
Article number	017
Journal	Journal of Cosmology and Astroparticle Physics
Volume	2008
Issue number	6
DOIs	https://doi.org/10.1088/1475-7516/2008/06/017
State	Published - Jun 1 2008

Keywords

High energy photons
Ultra high energy cosmic rays
Ultra high energy photons and neutrinos

ASJC Scopus subject areas

Astronomy and Astrophysics

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10.1088/1475-7516/2008/06/017

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title = "Maximum likelihood method for cross-correlations with astrophysical sources",

abstract = "We generalize the maximum likelihood-type method used to study cross-correlations between a catalog of candidate astrophysical sources and ultrahigh energy cosmic rays (UHECRs), to allow for differing source luminosities. The new method is applicable to any sparse dataset such as UHE gamma rays or astrophysical neutrinos. Performance of the original and generalized techniques is evaluated in simulations of various scenarios. Applying the new technique to data, we find an excess correlation of about nine events between HiRes UHECRs and known BLLacs, with a 6 × 10 -5 probability of such a correlation arising by chance.",

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AB - We generalize the maximum likelihood-type method used to study cross-correlations between a catalog of candidate astrophysical sources and ultrahigh energy cosmic rays (UHECRs), to allow for differing source luminosities. The new method is applicable to any sparse dataset such as UHE gamma rays or astrophysical neutrinos. Performance of the original and generalized techniques is evaluated in simulations of various scenarios. Applying the new technique to data, we find an excess correlation of about nine events between HiRes UHECRs and known BLLacs, with a 6 × 10 -5 probability of such a correlation arising by chance.

KW - High energy photons

KW - Ultra high energy cosmic rays

KW - Ultra high energy photons and neutrinos

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Maximum likelihood method for cross-correlations with astrophysical sources

Abstract

Keywords

ASJC Scopus subject areas

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