Combined CPT-violating and CPT-conserving Lorentz-invariance-violation parameters suppress DUNE's CP-violation sensitivity below 3σ over much of the δ_CP range and introduce parameter degeneracies that complicate δ_CP extraction.
On the measurement of leptonic CP violation
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abstract
We show that the simultaneous determination of the leptonic CP-odd phase $\delta$ and the angle $\theta_{13}$ from the subleading transitions $\nu_e\to\nu_\mu$ and ${\bar\nu}_e\to{\bar\nu}_\mu$ results generically, at fixed neutrino energy and baseline, in two degenerate solutions. In light of this, we refine a previous analysis of the sensitivity to leptonic CP violation at a neutrino factory, in the LMA-MSW scenario, by exploring the full range of $\delta$ and $\theta_{13}$. Furthermore, we take into account the expected uncertainties on the solar and atmospheric oscillation parameters and in the average Earth matter density along the neutrino path. An intermediate baseline of O(3000) km is still the best option to tackle CP violation, although a combination of two baselines turns out to be very important in resolving degeneracies.
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Interplay of CPT-Violating and CPT-Conserving Lorentz Invariance Violation at DUNE
Combined CPT-violating and CPT-conserving Lorentz-invariance-violation parameters suppress DUNE's CP-violation sensitivity below 3σ over much of the δ_CP range and introduce parameter degeneracies that complicate δ_CP extraction.