Applying the vacuum 2-3 rotation and then repeatedly eliminating the largest off-diagonal matrix element makes the effective Hamiltonian converge with an error order that grows like the Fibonacci sequence.
Effects of matter density profiles on neutrino oscillations for T2HK and T2HKK
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This paper explores the effects of changes in matter density profiles on neutrino oscillation probabilities, and whether these could potentially be seen by the future Hyper-Kamiokande long-baseline oscillation experiment (T2HK). The analysis is extended to include the possibility of having an additional detector in Korea (T2HKK). In both cases, we find that these effects will be immeasurable, as the magnitudes of the changes in the oscillation probabilities induced in all density profile scenarios considered here remain smaller than the estimated experimental sensitivity to the oscillation probabilities of each experiment, for both appearance and disappearance channels. Therefore, we conclude that using a constant density profile is sufficient for both the T2HK and T2HKK experiments.
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Fibonacci Fast Convergence for Neutrino Oscillations in Matter
Applying the vacuum 2-3 rotation and then repeatedly eliminating the largest off-diagonal matrix element makes the effective Hamiltonian converge with an error order that grows like the Fibonacci sequence.