Forward production of prompt neutrinos from charm in the atmosphere and at high energy colliders


The high-energy atmospheric neutrino flux is dominated by neutrinos from the decays of charmed hadrons produced in the forward direction by cosmic ray interactions with air nuclei. We evaluate the charm contributions to the prompt atmospheric neutrino flux as a function of the center-of-mass energy s\sqrt{s} of the hadronic collision and of the center-of-mass rapidity yy of the produced charm hadron. Uncertainties associated with parton distribution functions are also evaluated as a function of yy. We find that the yy coverage of LHCb for forward heavy-flavour production, complemented by the angular coverage of present and future forward neutrino experiments at the LHC, bracket the most interesting yy regions for the prompt atmospheric neutrino flux. At s=14\sqrt{s}=14 TeV foreseen for the HL-LHC phase, nucleon collisions in air contribute to the prompt neutrino flux prominently below Eν107E_\nu\sim 10^7~GeV. Measurements of forward charm and/or forward neutrinos produced in hadron collisions up to s=100\sqrt{s}=100 TeV, which might become possible at the FCC, are relevant for the prompt atmospheric neutrino flux up to Eν=108E_\nu=10^8 GeV and beyond.Comment: 29 pages, 11 figure

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