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Analytic Neutrino Oscillation Probabilities
by Chee Sheng Fong
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Chee Sheng Fong |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2210.09436v3 (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 |
| Specialties: |
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Abstract
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
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)
Anonymous on 2023-01-30 [id 3280]
The author has addressed our concerns carefully and we recommend publication.