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Compact Perturbative Expressions For Neutrino Oscillations in Matter
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We further develop and extend a recent perturbative framework for neutrino oscillations in uniform matter density so that the resulting oscillation probabilities are accurate for the complete matter potential versus baseline divided by neutrino energy plane. This extension also gives the exact oscillation probabilities in vacuum for all values of baseline divided by neutrino energy. The expansion parameter used is related to the ratio of the solar to the atmospheric $\Delta m^2$ scales but with a unique choice of the atmospheric $\Delta m^2$ such that certain first-order effects are taken into account in the zeroth-order Hamiltonian. Using a mixing matrix formulation, this framework has the exceptional feature that the neutrino oscillation probability in matter has the same structure as in vacuum, to all orders in the expansion parameter. It also contains all orders in the matter potential and $\sin\theta_{13}$. It facilitates immediate physical interpretation of the analytic results, and makes the expressions for the neutrino oscillation probabilities extremely compact and very accurate even at zeroth order in our perturbative expansion. The first and second order results are also given which improve the precision by approximately two or more orders of magnitude per perturbative order.
Forward citations
Cited by 5 Pith papers
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Towards Measuring the CP-Violating Phase with Atmospheric Neutrinos
A new up-down flux ratio for sub-GeV atmospheric neutrinos enables Hyper-Kamiokande to measure the CP-violating phase with sensitivity surpassing T2HK near delta_CP of 90 and 270 degrees.
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Quantum Information as a New Lens for Precision Neutrino Physics
Concurrence minima in neutrino oscillations identify low-entanglement energy regions that, when aligned with NOνA and T2K data, yield tighter joint constraints on sin²θ₂₃, δ_CP, and Δm²₃₁.
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Towards Measuring the CP-Violating Phase with Atmospheric Neutrinos
Proposes a new up-down flux ratio for sub-GeV atmospheric neutrinos to measure δ_CP, potentially exceeding T2HK sensitivity near 90° and 270° at Hyper-Kamiokande.
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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...
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Effects of tau-neutrino detection on non-standard interactions at DUNE with a short discussion on the nature of neutrino mixing
Simulations show that tau neutrino appearance at DUNE improves sensitivity to NSI parameters especially ε_μτ, hierarchy, CP violation, octant, NSI phases, and PMNS unitarity constraints.
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