SciPost Submission Page
Analytic Neutrino Oscillation Probabilities
by Chee Sheng Fong
This is not the latest submitted version.
This Submission thread is now published as
|Authors (as registered SciPost users):||Chee Sheng Fong|
|Preprint Link:||https://arxiv.org/abs/2210.09436v2 (pdf)|
|Date submitted:||2022-11-04 15:23|
|Submitted by:||Fong, Chee Sheng|
|Submitted to:||SciPost Physics|
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 radical solutions for a quartic polynomial, we obtain the first exact analytic oscillation probabilities for the $(3+1)$-flavor scenario in an arbitrary matter potential. 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.
Submission & Refereeing History
You are currently on this page
Reports on this Submission
- Cite as: Anonymous, Report on arXiv:2210.09436v2, delivered 2023-01-17, doi: 10.21468/SciPost.Report.6544
1. Clearly written
2. Has utility for the community
1. Certain points could be clarified as detailed in the report
This paper derives analytic formula for neutrino oscillations in the (3+N)flavour scenario. It also considers the differences between the NSI and non-unitary PMNS (i.e. 3+N flavour) scenarios. It would be helpful if the author could clarify:
1. The author states that the two scenarios are qualitatively and quantitively different. Could this be demonstrated in a plot? The two figures show the different NHS and unitary behaviours of each scenario separately i.e. what would we expect to measure for the NHS/Jarlskog identities.
2. The paper discusses how the non-unitary / non-diagonal NSI scenarios can be differentiated, however using this method it does not seem possible to distinguish between a diagonal or non-diagonal potential in the non-unitary scenario. Is there any possible resolution to this problem? How does the NHS identity behave in this in this scenario?
3. How is the NHS identity affected by non-unitarity? It may be helpful to the reader if the author produces a figure similar to Fig 1 but for the NHS identity in the non-unitary scenario.