M. G. Aartsen, The University of Adelaide
K. Abraham, Technical University of Munich
M. Ackermann, Deutsches Elektronen-Synchrotron (DESY)
J. Adams, University of Canterbury
J. A. Aguilar, Université Libre de Bruxelles
M. Ahlers, University of Wisconsin-Madison
M. Ahrens, Stockholms universitet
D. Altmann, Friedrich-Alexander-Universität Erlangen-Nürnberg
T. Anderson, Eberly College of Science
I. Ansseau, Université Libre de Bruxelles
M. Archinger, Johannes Gutenberg-Universität Mainz
C. Arguelles, University of Wisconsin-Madison
T. C. Arlen, Eberly College of Science
J. Auffenberg, Rheinisch-Westfälische Technische Hochschule Aachen
X. Bai, South Dakota School of Mines & Technology
S. W. Barwick, University of California, Irvine
V. Baum, Johannes Gutenberg-Universität Mainz
R. Bay, University of California, Berkeley
J. J. Beatty, The Ohio State University
J. Becker Tjus, Ruhr-Universitat Bochum
K. H. Becker, Bergische Universität Wuppertal
E. Beiser, University of Wisconsin-Madison
P. Berghaus, Deutsches Elektronen-Synchrotron (DESY)
D. Berley, University of Maryland, College Park
E. Bernardini, Deutsches Elektronen-Synchrotron (DESY)
A. Bernhard, Technical University of Munich
D. Z. Besson, University of Kansas
G. Binder, University of California, Berkeley
D. Bindig, Bergische Universität Wuppertal
M. Bissok, Rheinisch-Westfälische Technische Hochschule Aachen
E. Blaufuss, University of Maryland, College Park
J. Blumenthal, Rheinisch-Westfälische Technische Hochschule Aachen
D. J. Boersma, Uppsala Universitet

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This paper presents the results of different searches for correlations between very high-energy neutrino candidates detected by IceCube and the highest-energy cosmic rays measured by the Pierre Auger Observatory and the Telescope Array. We first consider samples of cascade neutrino events and of high-energy neutrino-induced muon tracks, which provided evidence for a neutrino flux of astrophysical origin, and study their cross-correlation with the ultrahigh-energy cosmic ray (UHECR) samples as a function of angular separation. We also study their possible directional correlations using a likelihood method stacking the neutrino arrival directions and adopting different assumptions on the size of the UHECR magnetic deflections. Finally, we perform another likelihood analysis stacking the UHECR directions and using a sample of through-going muon tracks optimized for neutrino point-source searches with sub-degree angular resolution. No indications of correlations at discovery level are obtained for any of the searches performed. The smallest of the p-values comes from the search for correlation between UHECRs with IceCube high-energy cascades, a result that should continue to be monitored.

Publication Source (Journal or Book title)

Journal of Cosmology and Astroparticle Physics