Amplitude analysis and measurement of the time-dependent<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math>asymmetry of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>B</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo>→</mml:mo><mml:msubsup><mml:mi>K</mml:mi><mml:mi>S</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:msubsup><mml:mi>K</mml:mi><mml:mi>S</mml:mi><mml:mn>0</mml:mn></mml:msubsup><mml:msubsup><mml:mi>K</mml:mi><mml:mi>S</mml:mi><mml:mn>0</mml:mn></mml:msubsup></mml:math>decays
Bibliographic record
Abstract
We present the first results on the Dalitz-plot structure and improved measurements of the time-dependent $CP$-violation parameters of the process ${B}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{K}_{S}^{0}{K}_{S}^{0}$ obtained using $468\ifmmode\times\else\texttimes\fi{}{10}^{6}\text{ }\text{ }B\overline{B}$ decays collected with the BABAR detector at the PEP-II asymmetric-energy $B$ factory at SLAC. The Dalitz-plot structure is probed by a time-integrated amplitude analysis that does not distinguish between ${B}^{0}$and ${\overline{B}}^{0}$ decays. We measure the total inclusive branching fraction $\mathcal{B}({B}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{K}_{S}^{0}{K}_{S}^{0})=(6.19\ifmmode\pm\else\textpm\fi{}0.48\ifmmode\pm\else\textpm\fi{}0.15\ifmmode\pm\else\textpm\fi{}0.12)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$, where the first uncertainty is statistical, the second is systematic, and the third represents the Dalitz-plot signal model dependence. We also observe evidence for the intermediate resonant states ${f}_{0}(980)$, ${f}_{0}(1710)$, and ${f}_{2}(2010)$. Their respective product branching fractions are measured to be $({2.70}_{\ensuremath{-}1.19}^{+1.25}\ifmmode\pm\else\textpm\fi{}0.36\ifmmode\pm\else\textpm\fi{}1.17)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$, $({0.50}_{\ensuremath{-}0.24}^{+0.46}\ifmmode\pm\else\textpm\fi{}0.04\ifmmode\pm\else\textpm\fi{}0.10)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$, and $({0.54}_{\ensuremath{-}0.20}^{+0.21}\ifmmode\pm\else\textpm\fi{}0.03\ifmmode\pm\else\textpm\fi{}0.52)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$. Additionally, we determine the mixing-induced $CP$-violation parameters to be $\mathcal{S}=\ensuremath{-}{0.94}_{\ensuremath{-}0.21}^{+0.24}\ifmmode\pm\else\textpm\fi{}0.06$ and $\mathcal{C}=\ensuremath{-}0.17\ifmmode\pm\else\textpm\fi{}0.18\ifmmode\pm\else\textpm\fi{}0.04$, where the first uncertainty is statistical and the second is systematic. These values are in agreement with the standard model expectation. For the first time, we report evidence of $CP$ violation in ${B}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{K}_{S}^{0}{K}_{S}^{0}$ decays; $CP$ conservation is excluded at 3.8 standard deviations including systematic uncertainties.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.030 | 0.008 |
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 source (direct Gemma or distilled Codex), 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".