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The recent observation of very high energy cosmic neutrinos by IceCubeheralds the beginning of neutrino astronomy. At these energies, the dominantbackground to the astrophysical signal is the flux of `prompt' neutrinos,arising from the decay of charmed mesons produced by cosmic ray collisions inthe atmosphere. In this work we provide predictions for the prompt atmosphericneutrino flux in the framework of perturbative QCD, using state-of-the-artMonte Carlo event generators. Our calculation includes the constraints set bycharm production measurements from the LHCb experiment at 7 TeV, and has beenrecently validated with the corresponding 13 TeV data. Our results for theprompt flux are a factor of about 2 below the previous benchmark calculation,in general agreement with two other recent estimates, and with an improvedestimate of the uncertainty. This alleviates the existing tension between thetheoretical prediction and IceCube limits, and suggests that a direct directionof the prompt flux is imminent.

The prompt atmospheric neutrino flux in the light of LHCb