Study of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math>final state in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>B</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:mi>J</mml:mi><mml:mo>/</mml:mo><mml:mi>ψ</mml:mi><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>B</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>ψ</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math>
Bibliographic record
Abstract
Using $535\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $B$-meson pairs collected by the Belle detector at the KEKB ${e}^{+}{e}^{\ensuremath{-}}$ collider, we measure branching fractions of $(7.16\ifmmode\pm\else\textpm\fi{}0.10(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.60(\mathrm{syst})\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$ for ${B}^{+}\ensuremath{\rightarrow}J/\ensuremath{\psi}{K}^{+}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ and $(4.31\ifmmode\pm\else\textpm\fi{}0.20(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.50(\mathrm{syst}))\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$ for ${B}^{+}\ensuremath{\rightarrow}{\ensuremath{\psi}}^{\ensuremath{'}}{K}^{+}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$. We perform amplitude analyses to determine the resonant structure of the ${K}^{+}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ final state in ${B}^{+}\ensuremath{\rightarrow}J/\ensuremath{\psi}{K}^{+}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ and ${B}^{+}\ensuremath{\rightarrow}{\ensuremath{\psi}}^{\ensuremath{'}}{K}^{+}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ and find that the ${K}_{1}(1270)$ is a prominent component of both decay modes. There is significant interference among the different intermediate states, which leads, in particular, to a striking distortion of the $\ensuremath{\rho}$ line shape due to the $\ensuremath{\omega}$. Based on the results of the fit to the ${B}^{+}\ensuremath{\rightarrow}J/\ensuremath{\psi}{K}^{+}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ data, the relative decay fractions of the ${K}_{1}(1270)$ to $K\ensuremath{\rho}$, $K\ensuremath{\omega}$, and ${K}^{*}(892)\ensuremath{\pi}$ are consistent with previous measurements, but the decay fraction to ${K}_{0}^{*}(1430)$ is significantly smaller. Finally, by floating the mass and width of the ${K}_{1}(1270)$ in an additional fit of the ${B}^{+}\ensuremath{\rightarrow}J/\ensuremath{\psi}{K}^{+}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ data, we measure a mass of $(1248.1\ifmmode\pm\else\textpm\fi{}3.3(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}1.4(\mathrm{syst}))\text{ }\text{ }\mathrm{MeV}/{c}^{2}$ and a width of $(119.5\ifmmode\pm\else\textpm\fi{}5.2(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}6.7(\mathrm{syst}))\text{ }\text{ }\mathrm{MeV}/{c}^{2}$ for the ${K}_{1}(1270)$.
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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 | 0.012 | 0.013 |
| Meta-epidemiology (narrow) | 0.010 | 0.017 |
| Meta-epidemiology (broad) | 0.005 | 0.016 |
| Bibliometrics | 0.005 | 0.011 |
| Science and technology studies | 0.015 | 0.015 |
| Scholarly communication | 0.011 | 0.011 |
| Open science | 0.017 | 0.015 |
| Research integrity | 0.017 | 0.017 |
| Insufficient payload (model declined to judge) | 0.050 | 0.013 |
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; both teacher heads agree on what is shown here.
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".