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Uncertainties in the oscillation parameters measurement due to multi-nucleon effects at NO$ u$A Experiment

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 Added by Paramita Deka Ms
 Publication date 2021
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and research's language is English




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Precise and adequate knowledge of neutrino scattering cross-sections and nuclear effects in them is very important to reduce the systematic uncertainties in neutrino beam oscillation experiments. The insufficiency in our present understanding of these effects inflicts the precision measurements of yet unknown neutrino oscillation parameters and some other experimentally observed anomalies in the neutrino sector. Another source of uncertainty is the energy dependence of neutrino oscillation probability which is a nontrivial function of the true incoming neutrino energy. This energy is reconstructed using different methods, which in turn is used in the analysis leading to the extraction of various neutrino oscillation parameters. The extraction of still unknown parameters like the leptonic CP violation phase demands the precision level in these measurements to be very high. In this work, we use the kinematic method of reconstruction of the incoming neutrino energy, both at the near and far detectors of NO$ u$A (USA) experiment, and investigate the role of multinucleon (MN) effects on the sensitivity measurement of various neutrino oscillation parameters. We use the values of various light neutrino oscillation parameters from their latest global fit values in our analysis.



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At present the three major unknowns in neutrino oscillation parameters are the mass hierarchy, the octant of $theta_{23}$ and the CP phase $delta_{CP}$. It is well known that the presence of hierarchy$-delta_{CP}$ and octant degeneracies affects the unambiguous determination of these parameters. In this paper we show that a comprehensive way to study the remaining parameter degeneracies is in the form of a generalized hierarchy-$theta_{23}$ - $delta_{CP}$ degeneracy. We show that the wrong-hierarchy and/or wrong-octant solutions can be further classified into eight different solutions depending on whether they occur with the wrong or right value of $delta_{CP}$. These eight solutions are different from the original eightfold degenerate solutions and can exist, in principle, even if $theta_{13}$ is known. These multiple solutions, apart from affecting the determination of the true hierarchy and octant, also affect the accurate estimation of $delta_{CP}$. We identify which of these eight different degenerate solutions can occur in the test ($theta_{23} - delta_{CP}$) parameter space, taking the long-baseline experiment NO$ u$A running in the neutrino mode as an example. The inclusion of the NO$ u$A antineutrino run removes the wrong-octant solutions appearing with both right and wrong hierarchy. Adding T2K data to this resolves the wrong hierarchy -- right octant solutions to a large extent. The remaining wrong hierarchy solutions can be removed by combining NO$ u$A + T2K with atmospheric neutrino data. We demonstrate this using ICAL@INO as the prototype atmospheric neutrino detector. We find that the degeneracies can be resolved at the $2sigma$ level by the combined data set, for the true parameter space considered in the study.
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