Precision Determination of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>r</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:msub><mml:mi>Λ</mml:mi><mml:mover accent="true"><mml:mi>MS</mml:mi><mml:mo stretchy="true">¯</mml:mo></mml:mover></mml:msub></mml:math>from the QCD Static Energy
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
We use the recently obtained theoretical expression for the complete QCD static energy at next-to-next-to-next-to leading-logarithmic accuracy to determine ${r}_{0}{\ensuremath{\Lambda}}_{\overline{\mathrm{MS}}}$ by comparison with available lattice data, where ${r}_{0}$ is the lattice scale and ${\ensuremath{\Lambda}}_{\overline{\mathrm{MS}}}$ is the QCD scale. We obtain ${r}_{0}{\ensuremath{\Lambda}}_{\overline{\mathrm{MS}}}={0.622}_{\ensuremath{-}0.015}^{+0.019}$ for the zero-flavor case. The procedure we describe can be directly used to obtain ${r}_{0}{\ensuremath{\Lambda}}_{\overline{\mathrm{MS}}}$ in the unquenched case, when unquenched lattice data for the static energy at short distances becomes available. Using the value of the strong coupling ${\ensuremath{\alpha}}_{s}$ as an input, the unquenched result would provide a determination of the lattice scale ${r}_{0}$.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.001 |
| Meta-epidemiology (narrow) | 0.002 | 0.002 |
| Meta-epidemiology (broad) | 0.001 | 0.004 |
| Bibliometrics | 0.000 | 0.002 |
| Science and technology studies | 0.002 | 0.002 |
| Scholarly communication | 0.002 | 0.002 |
| Open science | 0.003 | 0.002 |
| Research integrity | 0.001 | 0.003 |
| Insufficient payload (model declined to judge) | 0.070 | 0.003 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it