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      Sensitivity to neutrino mixing parameters with atmospheric neutrinos

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          Abstract

          We have analyzed the atmospheric neutrino data to study the octant of \(\theta_{23}\) and the precision of the oscillation parameters for a large Iron CALorimeter (ICAL) detector. The ICAL being a tracking detector has the ability to measure the energy and the direction of the muon with high resolution. From bending of the track in magnetic field it can also distinguish its charge. We have generated events by Nuance and then considered only the muons (directly measurable quantities) produced in charge current interactions in our analysis. This encounters the main problem of wide resolutions of energy and baseline. The energy-angle correlated two dimensional resolution functions are used to migrate the energy and the zenith angle of the neutrino to those of the muon. A new type of binning has been introduced to get better reflection of the oscillation pattern in chi-square analysis. Then the marginalization of the \(\chi^2\) over all parameters has been carried out for neutrinos and anti-neutrinos separately. We find that the measurement of \(\theta_{13}\) is possible at a significant precision with atmospheric neutrinos. The precisions of \(\Delta m_{32}^2\) and \(\sin^2\theta_{23}\) are found \(\sim\) 8% and 38%, respectively, at 90% CL. The discrimination of the octant as well as the deviation from maximal mixing of atmospheric neutrinos are also possible for some combinations of (\(\theta_{23}, ~\theta_{13}\)). We also discuss the impact of the events at near horizon on the precision studies.

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          HYPER-KAMIOKANDE — A NEXT GENERATION WATER CHERENKOV DETECTOR

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            Observables sensitive to absolute neutrino masses. II

            In this followup to Phys. Rev. D 75, 053001 (2007) [arXiv:hep-ph/0608060] we report updated constraints on neutrino mass-mixing parameters, in light of recent neutrino oscillation data (KamLAND, SNO, and MINOS) and cosmological observations (WMAP 5-year and other data). We discuss their interplay with the final 0nu2beta decay results in 76-Ge claimed by part of the Heidelberg-Moscow Collaboration, using recent evaluations of the corresponding nuclear matrix elements, and their uncertainties. We also comment on the 0nu2beta limits in 130-Te recently set by Cuoricino, and on prospective limits or signals from the KATRIN experiment.
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              A comparison of the sensitivities of the parameters with atmospheric neutrinos for different analysis methods

              In the atmospheric neutrino experiments the primary problems are the huge uncertainties of flux, very rapid fall of flux with increase of energy, the energy dependent wide resolutions of energy and zenith angle between true neutrinos and reconstructed neutrinos. These all in together make the choice of binning of the data for chi-square analysis complicated. The large iron calorimeter has the ability to measure the energy and the direction of the muon with high resolution. From the bending of the track in the magnetic field it can also distinguish its charge. We have analyzed the atmospheric neutrino oscillation generating events by Nuance and then considering the muons produced in the charge current interactions as the reconstructed neutrinos. This practically takes into account the major problem of wide resolutions. We have binned the data in three ways: i) in the grids of \(\log E -\log L\) plane, ii) in the grids of \(\log E -\cos\theta_{\rm zenith}\) plane, and iii) in the bins of \(\log (L/E)\). We have performed a marginalized \(\chi^2\) study over \(\Delta m_{32}^2, ~\theta_{13}\) and \(\theta_{23}\) for neutrinos and anti-neutrinos separately for each method and finally compared the results.
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                Author and article information

                Journal
                30 December 2008
                2009-11-18
                Article
                10.1103/PhysRevD.80.113003
                0812.4639
                e5b1d101-b461-4417-9f1e-289c99ec8a2b

                http://creativecommons.org/licenses/by/3.0/

                History
                Custom metadata
                HRI-P-08-12-003
                Phys.Rev.D80:113003,2009
                16 pages, 12 figures, new results added; accepted for publication in Phys. Rev. D
                hep-ph hep-ex

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