  We evaluate the prompt atmospheric neutrino flux including nuclear correction
and $B$ hadron contribution in the different frameworks: NLO perturbative QCD
and dipole models. The nuclear effect is larger in the prompt neutrino flux
than in the total charm production cross section, and it reduces the fluxes by
$10\% - 30\%$ depending on the model. We also investigate the uncertainty using
the QCD scales allowed by the charm cross section data from RHIC and LHC
experiments.
