Neutrino energy reconstruction from semi-inclusive samples

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We study neutrino-nucleus charged-current reactions on finite nuclei for the situation in which an outgoing muon and a proton are detected in coincidence; i.e., we focus on semi-inclusive cross sections. We limit our attention to one-body current interactions (quasielastic scattering) and assess the impact of different nuclear effects in the determination of the neutrino energy. We identify the regions in phase space where the neutrino energy can be reconstructed relatively well and study whether the cross section in those regions is significant. Our results indicate that it is possible to filter more than 50% of all events according to the muon and proton kinematics, so that for the DUNE and T2K fluxes the neutrino energy can be determined with uncertainties of less than 1% and 3%, respectively. Furthermore, we find that the reconstructed neutrino energy does not depend strongly on how one treats the final-state interactions and is not much affected by the description of the initial state. On the other hand, the estimations of the uncertainty on the neutrino energy show important sensitivity to the modeling of the initial state.
©2022 American Physical Society. This work has been partially supported by Jefferson Science Associates, LLC, under U.S. DOE Contract No. DE-AC05-06OR23177. The U.S. Government retains a nonexclusive, paid-up, irrevocable, world-wide license to publish or reproduce this article for U.S. Government purposes. This work was supported by the Madrid Government under the Multiannual Agreement with Complutense University in the line Program to Stimulate Research for Young Doctors in the context of the V PRICIT (Regional Programme of Research and Technological Innovation), Project No. PR65/19-22430 (R.G.-J.); by the Project BARM-RILO-18-02 of University of Turin and from INFN, National Project NUCSYS (M.B.B.); by the Spanish Ministerio de Economía y Competitividad and ERDF (European Regional Development Fund) under Contract No. FIS2017-88410-P, by the Junta de Andalucía (Grants No. FQM160 and No. SOMM17/6105/UGR), and by the University of Tokyo ICRR's Inter-University Research Program FY2020, Ref. No. A07 (J.A.C. and G.D.M.); by the Research Foundation Flanders (FWO-Flanders) and by the Special Research Fund, Ghent University (N.J., K.N., and A.N.); by the NCN Preludium Grant No. 2020/37/N/ST2/01751 and also by the Polish Ministry of Science and Higher Education, Grant No. DIR WK/2017/05 (K.N.); by the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 839481 (G.D.M.); by Jefferson Science Associates, LLC, under U.S. DOE Contract No. DE-AC05-06OR23177 (J.W.V.O.); and by the Office of Nuclear Physics of the U.S. Department of Energy under Grant Contract No. DE-FG02-94ER40818 (T.W.D). The authors also thank Omar Benhar for kindly providing the model for the spectral function of 16O employed in this study. The computations of this work were performed in Brigit, the HPC server of the Complutense University of Madrid.
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