  A recent analysis of cosmic ray air showers observed at the Pierre Auger
Observatory indicates that nearby starburst galaxies (SBGs) might be the cause
of ~10% of the Ultra-High-Energy Cosmic Ray flux at energies E > 39 EeV. Since
high energy neutrinos are a direct product of cosmic ray interactions, we
investigate SBGs as a possible source of some of the ~ 10^-2 - 1 PeV neutrinos
observed at IceCube. A statistical analysis is performed to establish the
degree of positional correlation between the observed neutrinos and a set of 45
nearby radio- and infrared-bright SBGs. Our results are consistent with no
causal correlation. However, a scenario where ~10% of the High Energy Starting
Events (HESE) in the detector are coming from the candidate SBGs is not
excluded. The same conclusion is reached for different data subsets, as well as
two different subsets of SBGs motivated by the Pierre Auger Observatory
analysis.
