Given that gamma rays with energies larger than TeV are severely absorbed by background radiation fields, for many extragalactic sources, the GeV–TeV gamma-ray observations are the messengers that are closest in energy to the TeV–PeV neutrinos observed by IceCube. Investigating whether there is a correlation between the gamma-ray and neutrino observations can help us identify high-energy neutrino sources and determine which sources are the main contributors to the all-sky diffuse neutrino flux of IceCube. In previous work, we have already studied the possible gamma-neutrino correlations by analyzing 10 years of IceCube public muon-track data. In this work, we further investigate such correlations by employing the IceCube $p$-value sky map of the scan for point sources. We examine the spatial associations of hot spots in the neutrino sky map with various gamma-ray source samples: the third Fermi-LAT catalog of high-energy sources (3FHL), LAT 14-year source catalog, the fourth catalog of active galactic nuclei, and subsets of these samples. Among all the samples, the 3FHL sample shows a possible correlation with the neutrino hot spots with a pretrial $p$ value of $9.0\times {10}^{-5}$ ($\sim 3.9\sigma$), corresponding to a posttrial significance of $\sim 1.7\sigma$. However, this is found to be caused by three already known neutrino sources or source candidates: NGC 1068, TXS $0506+056$, and PKS $1424+240$.

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• Cosmic rays & astroparticles
• Extrasolar neutrino astronomy
• Gamma ray astronomy
• Particle astrophysics
• Active & peculiar galaxies