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      The mass-hierarchy and CP-violation discovery reach of the LBNO long-baseline neutrino experiment

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          Abstract

          The next generation neutrino observatory proposed by the LBNO collaboration will address fundamental questions in particle and astroparticle physics. The experiment consists of a far detector, in its first stage a 20 kt LAr double phase TPC and a magnetised iron calorimeter, situated at 2300 km from CERN and a near detector based on a high-pressure argon gas TPC. The long baseline provides a unique opportunity to study neutrino flavour oscillations over their 1st and 2nd oscillation maxima exploring the \(L/E\) behaviour, and distinguishing effects arising from \(\delta_{CP}\) and matter. In this paper we have reevaluated the physics potential of this setup for determining the mass hierarchy (MH) and discovering CP-violation (CPV), using a conventional neutrino beam from the CERN SPS with a power of 750 kW. We use conservative assumptions on the knowledge of oscillation parameter priors and systematic uncertainties. The impact of each systematic error and the precision of oscillation prior is shown. We demonstrate that the first stage of LBNO can determine unambiguously the MH to \(>5\sigma\)C.L. over the whole phase space. We show that the statistical treatment of the experiment is of very high importance, resulting in the conclusion that LBNO has \(\sim\) 100% probability to determine the MH in at most 4-5 years of running. Since the knowledge of MH is indispensable to extract \(\delta_{CP}\) from the data, the first LBNO phase can convincingly give evidence for CPV on the \(3\sigma\)C.L. using today's knowledge on oscillation parameters and realistic assumptions on the systematic uncertainties.

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          Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP violation searches

          We perform a global analysis of neutrino oscillation data, including high-precision measurements of the neutrino mixing angle theta_13 at reactor experiments, which have confirmed previous indications in favor of theta_13>0. Recent data presented at the Neutrino 2012 Conference are also included. We focus on the correlations between theta_13 and the mixing angle theta_23, as well as between theta_13 and the neutrino CP-violation phase delta. We find interesting indications for theta_23< pi/4 and possible hints for delta ~ pi, with no significant difference between normal and inverted mass hierarchy.
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            Global status of neutrino oscillation parameters after Neutrino-2012

            Here we update the global fit of neutrino oscillations in arXiv:1103.0734 and arXiv:1108.1376 including the recent measurements of reactor antineutrino disappearance reported by the Double Chooz, Daya Bay and RENO experiments, together with latest MINOS and T2K appearance and disappearance results, as presented at the Neutrino-2012 conference. We find that the preferred global fit value of \(\theta_{13}\) is quite large: \(\sin^2\theta_{13} \simeq 0.025\) for normal and inverted neutrino mass ordering, with \(\theta_{13} = 0\) now excluded at more than 10\(\sigma\). The impact of the new \(\theta_{13}\) measurements over the other neutrino oscillation parameters is discussed as well as the role of the new long-baseline neutrino data and the atmospheric neutrino analysis in the determination of a non-maximal atmospheric angle \(\theta_{23}\).
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              Breaking Eight-fold Degeneracies in Neutrino CP Violation, Mixing, and Mass Hierarchy

              We identify three independent two-fold parameter degeneracies (\delta, \theta_{13}), sgn(\delta m^2_{31}) and (\theta_{23}, \pi/2-\theta_{23}) inherent in the usual three-neutrino analysis of long-baseline neutrino experiments, which can lead to as much as an eight-fold degeneracy in the determination of the oscillation parameters. We discuss the implications these degeneracies have for detecting CP violation and present criteria for breaking them. A superbeam facility with a baseline at least as long as the distance between Fermilab and Homestake (1290 km) and a narrow band beam with energy tuned so that the measurements are performed at the first oscillation peak can resolve all the ambiguities other than the (\theta_{23}, \pi/2-\theta_{23}) ambiguity (which can be resolved at a neutrino factory) and a residual (\delta, \pi-\delta) ambiguity. However, whether or not CP violation occurs in the neutrino sector can be ascertained independently of the latter two ambiguities. The (\delta,\pi-\delta) ambiguity can be eliminated by performing a second measurement to which only the \cos\delta terms contribute. The hierarchy of mass eigenstates can be determined at other oscillation peaks only in the most optimistic conditions, making it necessary to use the first oscillation maximum. We show that the degeneracies may severely compromise the ability of the proposed SuperJHF-HyperKamiokande experiment to establish CP violation. In our calculations we use approximate analytic expressions for oscillation probabilitites that agree with numerical solutions with a realistic Earth density profile.
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                Author and article information

                Journal
                23 December 2013
                2014-01-20
                Article
                1312.6520
                483acffc-5a1c-41f1-a00a-2fcbfd58b52d

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                35 pages, 22 figures, added authors
                hep-ph

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