2++ Di-gluonium from Laplace sum rules at higher order
Bibliographic record
Abstract
We improve the determination of the mass and coupling of the [Formula: see text] tensor di-gluonium by using relativistic QCD Laplace sum rules (LSRs). In so doing, we evaluate the next-to-leading order (NLO) corrections to the perturbative (PT) and [Formula: see text] condensate and the lowest-order (LO) [Formula: see text] contributions to the [Formula: see text] di-gluonium two-point correlator. Within a vacuum saturation estimate ([Formula: see text]) of the dimension-eight gluon condensates, we obtain: [Formula: see text] and the renormalization group invariant (RGI) coupling [Formula: see text]. Assuming that the factorization hypothesis can be violated, we study the effect of the violation factor [Formula: see text] on the results and obtain: [Formula: see text] and [Formula: see text] for [Formula: see text]. Our estimation does not favor the interpretation of the observed [Formula: see text], [Formula: see text] and [Formula: see text] as pure glueball states.
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How this classification was reachedexpand
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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".