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Analytic Neutrino Oscillation Probabilities

by Chee Sheng Fong

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Submission summary

Authors (as registered SciPost users): Chee Sheng Fong
Submission information
Preprint Link:  (pdf)
Date accepted: 2023-05-22
Date submitted: 2023-01-26 14:18
Submitted by: Fong, Chee Sheng
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Phenomenology


In the work, we derive exact analytic expressions for $(3+N)$-flavor neutrino oscillation probabilities in an arbitrary matter potential in term of matrix elements and eigenvalues of the Hamiltonian. With the analytic expressions, we demonstrate that nonunitary and nonstandard neutrino interaction scenarios are physically distinct: they satisfy different identities and can in principle be distinguished experimentally. The analytic expressions are implemented in a public code NuProbe, a tool for probing new physics through neutrino oscillations.

Author comments upon resubmission

The article has been revised to take into account the queries of the referee.

List of changes

1) A sentence is added in the text as well as in the caption of Figure 1 to stress that the quantity plotted is exactly zero in the unitary scenario.

2) A new Figure 2 with a paragraph added in end of Section IIIB1 to show how the NHS combinations are modified in the presence of nonunitarity.

3) Normalization in Figure 3 (the previous Figure 2) is changed for easier comparison with Figure 2.

4) A discussion on the strategy to distinguish nonunitary and NSI scenarios is added at the end of the conclusions.

5) A new reference [34] of Yasuda is added. He was the first to obtain analytical oscillation probability for arbitrary number of neutrinos.

Published as SciPost Phys. 15, 013 (2023)

Reports on this Submission

Anonymous Report 1 on 2023-1-30 (Invited Report)


1. clearly written useful result


1. I believe the author addressed the issues we found with the paper


Yes, the author's response is complete and careful, the manuscript is ready for publication

  • validity: high
  • significance: good
  • originality: good
  • clarity: good
  • formatting: good
  • grammar: good

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Anonymous on 2023-01-30  [id 3280]

The author has addressed our concerns carefully and we recommend publication.