Warped SU(6): running and UV boundary terms
Calculate two independent inverse-coupling differences and the UV boundary terms required for the supported warped SU(6) assignments.
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 see how assumed boundary terms enter a unification calculation. It makes those terms visible instead of interpreting a crossing of running curves as a parameter-free prediction.
First steps
- Choose C1 or C2 matter content.
- Set the IR and UV scales with their displayed units.
- Compare the required boundary differences with your chosen values.
- Open the advanced UV-mass probe only after reading its separate scope.
Controls and inputs
| Control | Meaning | Try this |
|---|---|---|
| Matter assignment C1 / C2 | Selects the implemented assignment from the cited calculation. | Compare both with unchanged scales. |
| IR scale [TeV] / log₁₀ UV scale [GeV] | The first is a scale; the second is the base-ten logarithm of a scale. | Keep the different units and logarithm convention explicit in exports. |
| Chosen Δλ₂₁ / Δλ₃₁ | User-supplied UV boundary differences. | Set them to the required values and observe the residuals. |
| Probe c and UV mass / k | Inputs to the separate localization and UV-mass diagnostic. | Read its status independently of the main running plot. |
Reading the results
| Result | Meaning |
|---|---|
| Differential running | α₂⁻¹ − α₁⁻¹ and α₃⁻¹ − α₁⁻¹ as functions of log₁₀ q. |
| Required terms and residuals | Quantify the boundary assumptions needed under approximate IR matching. |
Residuals are differences between required and chosen boundary terms. They are not χ² values or statistical exclusions; the NDA number is a reference scale.
Worked example
Identify the boundary assumption
- Start with chosen boundary differences equal to zero.
- Record the required values.
- Enter those values and compare residuals.
What to expect: Small residuals after this adjustment express a chosen matching condition, not independent experimental agreement.
Formulas and conventions
NDA reference = 1/(16π²)
A dimensional-analysis comparison scale, without a probability or confidence level.
Scope and limitations
- One-loop differential running and approximate IR matching are used.
- Unspecified threshold and boundary effects can change the matching.
- The UV-mass probe is not a full model fit.
If something is unclear
A zero residual looks like a perfect fit.
Check whether the boundary terms were chosen to equal the required values; no statistical fit is being performed.
Sources and attribution
Current instrument guide. Archived editions retain their own scope.
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