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IceCube alert events are neutrinos with a moderate-to-high probability ofhaving astrophysical origin. In this study, we analyze 11 years of IceCube dataand investigate 122 alert events and a selection of high-energy tracks detectedbetween 2009 and the end of 2021, searching for additional continuous andtransient neutrino emission within their error regions. We find no evidence forsignificant continuous neutrino emission from any of the alert eventdirections. The only locally significant neutrino emission is the transientemission associated with the blazar TXS~0506+056, with a local significance of$ 3 \sigma$, which confirms previous IceCube studies. When correcting for 122test positions, the global p-value is $0.156$ and is compatible with thebackground hypothesis. We constrain the total continuous flux emitted from all122 test positions at 100~TeV to be below $1.2 \times 10^{-15}$~(TeV cm$^2$s)$^{-1}$ at 90\% confidence assuming an $E^{-2}$ spectrum, which correspondsto 4.5\% of IceCube's astrophysical diffuse flux. Overall, we find noindication that alert events, in general, are linked to lower-energeticcontinuous or transient neutrino emission.

Search for Continuous and Transient Neutrino Emission Associated with IceCube's Highest-Energy Tracks: An 11-Year Analysis