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Neutrino oscillation probabilities, which are being measured in long-baselineexperiments, depend on neutrino energy. The energy in a neutrino beam, however,is broadly smeared so that the neutrino energy in a particular event is notdirectly known, but must be reconstructed from final state properties. In thispaper we investigate the contributions from different reaction mechanisms onthe energy-reconstruction method widely used in long-baseline neutrinoexperiments. Difference between the true-QE and QE-like cross sections inMiniBooNE experiment is investigated in details. It is shown, that fake QE-likeevents lead to significant distortions in neutrino energy reconstruction.Flux-folded and unfolded cross sections for QE-like scattering are calculatedas functions of both true and reconstructed energies. Flux-folded momentumtransfer distributions are calculated as functions of both true andreconstructed momentum transfer. Distributions versus reconstructed values arecompared with the experimental data. Also presented are the conditionalprobability densities of finding a true energy for a given reconstructedenergy. It is shown, how the energy reconstruction procedure influences themeasurement of oscillation parameters in T2K experiment. For the reconstructionprocedure based on quasielastic (QE) kinematics, all other reaction channelsbeside true-QE scattering show a shift of the reconstructed energy towardslower values as compared to the true energy. On average in the MiniBooNE andT2K experiments the shift is 100 - 200 MeV and depends on energy. Theoscillation signals are similarly affected. These uncertainties may limit theextraction of a CP violating phase from an oscillation result.

Energy reconstruction in quasielastic scattering in the MiniBooNE and T2K experiments