A multimessenger analysis optimized for a correlation of arrival directions of ultra-high energy cosmic rays (UHECRs) and neutrinos is presented and applied to 2190 neutrino candidate events detected in 2007-2008 by the ANTARES telescope and 69 UHECRs observed by the Pierre Auger Observatory between 2004 January 1 and 2009 December 31. No significant correlation is observed. Assuming an equal neutrino flux (E –2 energy spectrum) from all UHECR directions, a 90% CL upper limit on the neutrino flux of 5.0 × 10–8?GeV?cm–2?s–1 per source is derived.
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