Eigenvalues: the Rosetta Stone for Neutrino Oscillations in Matter
We present a new method of exactly calculating neutrino oscillation probabilities in matter. We show that, given the eigenvalues, all mixing angles follow surprisingly simply and the CP violating phase can also be trivially determined. Then, to avoid the cumbersome expressions for the exact eigenvalues, we have applied previously derived perturbatively approximate eigenvalues to this scheme and found it to be incredibly precise. We also find that these eigenvalues converge at a rate of five orders of magnitude which is the square of the naive expectation.
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High Energy Physics - Phenomenology
