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The IceCube Neutrino Observatory has established the existence of ahigh-energy all-sky neutrino flux of astrophysical origin. This discovery wasmade using events interacting within a fiducial region of the detectorsurrounded by an active veto and with reconstructed energy above 60 TeV,commonly known as the high-energy starting event sample, or HESE. We revisitthe analysis of the HESE sample with an additional 4.5 years of data, newerglacial ice models, and improved systematics treatment. This paper describesthe sample in detail, reports on the latest astrophysical neutrino fluxmeasurements, and presents a source search for astrophysical neutrinos. We givethe compatibility of these observations with specific isotropic flux modelsproposed in the literature as well as generic power-law-like scenarios.Assuming $\nu_e:\nu_\mu:\nu_\tau=1:1:1$, and an equal flux of neutrinos andantineutrinos, we find that the astrophysical neutrino spectrum is compatiblewith an unbroken power law, with a preferred spectral index of${2.87}^{+0.20}_{-0.19}$ for the $68.3\%$ confidence interval.

The IceCube high-energy starting event sample: Description and flux characterization with 7.5 years of data