Eigenvalues: the Rosetta Stone for Neutrino Oscillations in Matter

@article{Denton2020EigenvaluesTR,
  title={Eigenvalues: the Rosetta Stone for Neutrino Oscillations in Matter},
  author={Peter B. Denton and S. Parke and Xining Zhang},
  journal={Physical Review D},
  year={2020},
  volume={101}
}
  • Peter B. Denton, S. Parke, Xining Zhang
  • Published 2020
  • Physics
  • Physical Review D
  • We present a new method of exactly calculating neutrino oscillation probabilities in matter. We leverage the "eigenvector-eigenvalue identity" to show that, given the eigenvalues, all mixing angles in matter follow surprisingly simply. The CP violating phase in matter can then be determined from the Toshev identity. Then, to avoid the cumbersome expressions for the exact eigenvalues, we have applied previously derived perturbative, approximate eigenvalues to this scheme and discovered them to… CONTINUE READING
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    References

    SHOWING 1-10 OF 39 REFERENCES
    Simple and compact expressions for neutrino oscillation probabilities in matter
    • 39
    • PDF
    Compact perturbative expressions for neutrino oscillations in matter
    • 45
    • PDF
    Analytical approximation of the neutrino oscillation matter effects at large θ13
    • 26
    • PDF
    Addendum to “Compact perturbative expressions for neutrino oscillations in matter”
    • 10
    • PDF