Symmetry in Neutrino Oscillation in Matter: New Picture and the νSM–Non-Unitarity Interplay
Round 1
Reviewer 1 Report
The author has presented the symmetries in neutrino oscillations in matter with a nonunitary mixing matrix. Although the approach has been proposed by the author in the treatment of ordinary neutrino oscillations in matter with a unitary mixing matrix, the analysis for a nonunitary mixing matrix is new and the results are interesting. Possible connection between the obtained symmetries to topology has been pointed out, which seems quite interesting. The manuscript is clearly written. I would like to recommend the publication of the manuscript in the present form.
Author Response
Dear Reviewer 1,
Thank you for your very positive comments on my paper. Due to a heavy report from the other reviewer the manuscript had to be revised. I hope it still satisfy your taste. Sincerely, Hisakazu Minakata
Reviewer 2 Report
This paper is a comprehensive review of the problems associated with the reparametrization symmetry of neutrino oscillations in matter, both in the standard nuSM and in the UV (unitarity violating) sector of the theory, which is mainly based on a number of papers already published by the author (partly with co-authors).
It seems that the material presented in this review may be of interest and useful to the neutrino community, especially those involved in neutrino-solar experiments, but not only.
Both the statement of the problem and the results, as well as discussions, are clearly presented. I think this review can be published in its current form.
I have no special comments on this work.
Author Response
Dear Reviewer 2,
Thank you for your positive review report. Yes, as I said in Conclusion section that ``Yet, the penetrating theme throughout this paper is to convey to the readers our state of the art understanding of the symmetry in neutrino oscillation'' a comprehensive review of the subject is the important goal of this paper.
Nonetheless I would like to mention is that the materials treated in section 3 (SRP theory) and sections 7-9 are all new, never published in any forms before.
Due to a heavy report from the other reviewer the manuscript had to be revised. I hope it still satisfy your taste.
Thank you for your attention. Hisakazu Minakata
Reviewer 3 Report
The paper is interesting at a first glance. The reparametrization symmetry in neutrino oscillation in matter is first reviewed and then the SF method introduced.
I have some points to debate on.
First, the "local" nature, say the 1-2 and 1-3 state exchange symmetries is not supported standardly. I don't understand well how the author intends to justify this.
More comments in the paper in this regards would be helpful to readers.
Also when the author claims: "a larger symmetry structure than that we know": for me it's unclear how and which and above all: Physically how one can unveil it?
Again, refined comments in the paper I think would be essential.
Again, the unitarity violation (UV) is motivated physically by standard considerations? But why?
The speculation claimed by the author is unique? I don't think so. Is it possible to explore even other possibilities? I think comments on this regards would be extremely useful.
Author Response
Please see the attachment.
Author Response File: 
Author Response.pdf
Reviewer 4 Report
Comments for author File: Comments.pdf
Author Response
Please see the attachment.
Author Response File: Author Response.pdf
Round 2
Reviewer 3 Report
The paper is very interesting. Accepted
