Systematic uncertainties in long-baseline neutrino oscillations for large ${\theta }_{13}$

Abstract

We study the physics potential of future long-baseline neutrino oscillation experiments at large ${\theta }_{13}$, focusing especially on systematic uncertainties. We discuss superbeams, \bbeams, and neutrino factories, and for the first time compare these experiments on an equal footing with respect to systematic errors. We explicitly simulate near detectors for all experiments, we use the same implementation of systematic uncertainties for all experiments, and we fully correlate the uncertainties among detectors, oscillation channels, and beam polarizations as appropriate. As our primary performance indicator, we use the achievable precision in the measurement of the CP violating phase $\deltacp$. We find that a neutrino factory is the only instrument that can measure $\deltacp$ with a precision similar to that of its quark sector counterpart. All neutrino beams operating at peak energies $\gtrsim 2$ GeV are quite robust with respect to systematic uncertainties, whereas especially \bbeams and \thk suffer from large cross section uncertainties in the quasi-elastic regime, combined with their inability to measure the appearance signal cross sections at the near detector. A noteworthy exception is the combination of a $\gamma =100$ \bbeam with an \spl-based superbeam, in which all relevant cross sections can be measured in a self-consistent way. This provides a performance, second only to the neutrino factory. For other superbeam experiments such as \lbno and the setups studied in the context of the \lbne reconfiguration effort, statistics turns out to be the bottleneck. In almost all cases, the near detector is not critical to control systematics since the combined fit of appearance and disappearance data already constrains the impact of systematics to be small provided that the three active flavor oscillation framework is valid.

35 pages, 6 figures

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• The Daya Bay and T2K results on ${\sin }^{2}2{\theta }_{13}$ and Non-Standard Neutrino Interactions
• Interplay between Appearance and Disappearance Channels for Precision Measurements of ${\theta }_{23}$ and $\delta$
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• Probing Direct and Indirect Unitarity Violation in Future Accelerator Neutrino Facilities
• The Discovery reach of $CP$ violation in neutrino oscillation with non-standard interaction effects
• Design and diagnostics of high-precision accelerator neutrino beams
• Probing the leptonic Dirac CP-violating phase in neutrino oscillation experiments
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• Probing new physics scenarios in accelerator and reactor neutrino experiments
• Cross Section Measurements with Monoenergetic Muon Neutrinos
• Improved sensitivities of ESS$\nu$SB from a two-detector fit
• Searching for sterile neutrinos at the ESS$\nu$SB
• CP-Violation with Neutrino Disappearance Alone
• Capability of Detecting Ultra-Violet Counterparts of Gravitational Waves with GLUV
• Effect of Matter Density in T2HK and DUNE
• Influence of cross-sectional uncertainty on sensitivity studies of DUNE and T2HK experiments
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• New physics from oscillations at the DUNE near detector, and the role of systematic uncertainties
• Impact of unitarity violation on sensitivity of the leptonic CP phase at Hyper-Kamiokande and DUNE