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.
Neutrino oscillation probabilities through the looking glass
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abstract
In this paper we review different expansions for neutrino oscillation probabilities in matter in the context of long-baseline neutrino experiments. We examine the accuracy and computational efficiency of different exact and approximate expressions. We find that many of the expressions used in the literature are not precise enough for the next generation of long-baseline experiments, but several of them are while maintaining comparable simplicity. The results of this paper can be used as guidance to both phenomenologists and experimentalists when implementing the various oscillation expressions into their analysis tools.
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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.