Model calculator
Evaluate the supported SU(4) one-loop potential, locate its vacuum and calculate the associated Higgs curvature for a chosen matter content.
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 as the numerical workspace for the SU(4) model family. Loading the published reference gives you a reproducible starting point. You can then change one representation count or sign and see how the vacuum and mass response change.
First steps
- Load the named AHMN reference before constructing a custom content.
- Set multiplicities, boundary signs and the displayed matter/gauge roles.
- Read the vacuum location and the reference-reproduction indicator.
- Use Selection rule to understand the search domain, and eta-meter to inspect sign sensitivity.
Controls and inputs
| Control | Meaning | Try this |
|---|---|---|
| Load AHMN / clear | Restores the named reference or removes the editable matter content. | Record the anchor before making any changes. |
| Representation multiplicities | Add or remove copies of supported representations from the catalogue. | Change one count by one and compare the vacuum. |
| η and matter/gauge role | Change the boundary-sign or contribution convention used for that row. | Keep a record of these labels with the multiplicities; the counts alone are insufficient. |
| Search-domain comparison | Shows the effect of an assumed domain reduction on the catalogue calculation. | Use the justified domain rather than choosing the smaller search only for speed. |
Reading the results
| Result | Meaning |
|---|---|
| Potential cut and vacuum | The curve and located minimum for the selected input. Read which cut through the multidimensional potential is being shown. |
| Mass/curvature results | Derived from the potential's local curvature and the stated normalization; a potential value itself is not a particle mass. |
| Anchor indicator | Reports whether the implementation reproduces the named AHMN reference within its stated comparison. |
Mass ratios remove some overall normalization dependence but retain the model and approximation assumptions. Absolute masses and scales require the stated normalization and physical inputs. The anchor indicator tests a named reference calculation, not general phenomenological validity.
Worked example
Measure one change relative to the anchor
- Load AHMN and note the vacuum and mass ratio.
- Change one multiplicity while keeping its sign and role fixed.
- Read the new vacuum and potential cut.
- Reload AHMN and confirm the baseline is restored.
What to expect: The difference is attributable to one documented input change. A successful reference reproduction is a check on that calculation.
Scope and limitations
- The supported one-loop model does not include every correction or boundary interaction of a complete theory.
- A mass ratio can remain sensitive to content, vacuum selection and approximation even when an overall normalization cancels.
- The finite representation catalogue is the implemented search range.
If something is unclear
A sign change seems to do nothing.
Open eta-meter and check whether this representation is insensitive to that sign in the stated calculation.
A reduced search gives another minimum.
Check Selection rule and compare the full justified domain.
Terms used here
Sources and attribution
Current instrument guide. Archived editions retain their own scope.
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