Three active flavours and a rank 2 or rank 3 extension
Reconstruct a three-copy ring extension from chosen light masses, PMNS parameters and active deficits.
Control names are kept as they appear in the application. Start with a reference, change one input at a time, and retain the assumptions with your result.
What this tool is for
Use this to explore the extra independent mass directions needed beyond the rank-one base ring. The construction shows how chosen oscillation inputs can be represented; it does not derive them from the original one-copy action.
First steps
- Select Neutrino ring, then the three-flavour experiment.
- Choose a normal or inverted reference and the lightest mass.
- Inspect reconstructed couplings and the mass rank.
- Compare the separate reference ranges and the unitary-limit vacuum plot.
Controls and inputs
| Control | Meaning | Try this |
|---|---|---|
| Ordering and lightest mass [eV] | Set the light mass spectrum together with the two supplied splittings. | Compare zero and nonzero lightest mass. |
| sin² θ, δ and Majorana phases | Specify the input PMNS orientation; phases are in degrees. | Change a Majorana phase and compare mββ with the vacuum oscillation plot. |
| Active deficit directions | Set the three independent deficit inputs used in the reconstruction. | Open the matrix details to inspect the full active deficit. |
Reading the results
| Result | Meaning |
|---|---|
| Rank, masses and reconstructed matrices | Describe the constructed extension, including Yukawa and deficit matrices. |
| Vacuum appearance probabilities | The unitary PMNS limit; matter effects and a nonunitarity fit are absent. |
| NuFIT ranges | Separate reference intervals with their recorded edition and ordering. |
Masses and PMNS orientation are inputs to this inverse construction. Separate NuFIT ranges do not define a likelihood, and the historical Hosotani button does not turn the ring into that paper’s RS model.
Worked example
Understand the role of the lightest mass
- Use the normal-ordering reference and set the lightest mass to zero.
- Read the rank and reconstructed masses.
- Choose a small nonzero lightest mass and repeat.
What to expect: The construction changes rank with the supplied spectrum; this is not a new prediction of the lightest mass.
Scope and limitations
- Three sterile copies extend the base model.
- The plotted vacuum probabilities omit matter effects and active-deficit corrections.
- Light-sector mββ does not include all possible heavy-state contributions.
- Reference interval membership is not a joint goodness of fit.
If something is unclear
A reference preset reproduces its own PMNS values.
That is expected: these values were supplied as inputs. Inspect the reconstructed couplings to see the calculated result.
Sources and attribution
Current instrument guide. Archived editions retain their own scope.
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