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Modern accelerator neutrino experiments require a precise knowledge of initial neutrino fluxes. In many cases an uncertainty of this flux is a limiting factor for either a neutrino oscillation analysis or for a neutrino cross section measurement. A traditional way to predict the flux is a full chain simulation of the neutrino beamline: from an interaction of primary protons with the target to a neutrino production in meson decays. In this procedure the flux uncertainty would be mainly driven by uncertainties in the production of parent hadrons. A review of recent results of the NA61/SHINE experiment on determination of hadron yields in proton-carbon interactions is presented. The differential cross sections of π±, K±, p, Ks and Λ provided by NA61/SHINE are presently used in the T2K neutrino beam simulation program to reweight hadron yields. They allowed to reduce the flux uncertainty at the neutrino peak energy down to 9%. At the same time, NA61/SHINE results obtained with the T2K replica target, which are used to constrain hadron yields at the surface of the target, will reduce significantly a model dependence of the neutrino beam prediction. Prospects of further improvement of precision of NA61/SHINE measurements in view of the forthcoming runs for energies of the main injector neutrino beamline at FNAL are reviewed.

Hadron production measurements from NA61/SHINE for LBL neutrino experiments