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Bibliographic record
Abstract
We report the first determination of the relative strong-phase difference between ${D}^{0}\ensuremath{\rightarrow}{K}_{S,L}^{0}{K}^{+}{K}^{\ensuremath{-}}$ and ${\overline{D}}^{0}\ensuremath{\rightarrow}{K}_{S,L}^{0}{K}^{+}{K}^{\ensuremath{-}}$. In addition, we present updated measurements of the relative strong-phase difference between ${D}^{0}\ensuremath{\rightarrow}{K}_{S,L}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ and ${\overline{D}}^{0}\ensuremath{\rightarrow}{K}_{S,L}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$. Both measurements exploit the quantum coherence between a pair of ${D}^{0}$ and ${\overline{D}}^{0}$ mesons produced from $\ensuremath{\psi}(3770)$ decays. The strong-phase differences measured are important for determining the Cabibbo-Kobayashi-Maskawa angle $\ensuremath{\gamma}/{\ensuremath{\phi}}_{3}$ in ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\stackrel{\texttildelow{}}{D}}^{0}$ decays, where ${\stackrel{\texttildelow{}}{D}}^{0}$ is a ${D}^{0}$ or ${\overline{D}}^{0}$ meson decaying to ${K}_{S}^{0}{h}^{+}{h}^{\ensuremath{-}}$ ($h=\ensuremath{\pi}$, $K$), in a manner independent of the model assumed to describe the ${D}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{h}^{+}{h}^{\ensuremath{-}}$ decay. Using our results, the uncertainty in $\ensuremath{\gamma}/{\ensuremath{\phi}}_{3}$ due to the error on the strong-phase difference is expected to be between 1.7\ifmmode^\circ\else\textdegree\fi{} and 3.9\ifmmode^\circ\else\textdegree\fi{} for an analysis using ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\stackrel{\texttildelow{}}{D}}^{0}$, ${\stackrel{\texttildelow{}}{D}}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ decays, and between 3.2\ifmmode^\circ\else\textdegree\fi{} and 3.9\ifmmode^\circ\else\textdegree\fi{} for an analysis based on ${B}^{\ensuremath{-}}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\stackrel{\texttildelow{}}{D}}^{0}$, ${\stackrel{\texttildelow{}}{D}}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{K}^{+}{K}^{\ensuremath{-}}$ decays. A measurement is also presented of the $CP$-odd fraction, ${\mathcal{F}}_{\ensuremath{-}}$, of the decay ${D}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{K}^{+}{K}^{\ensuremath{-}}$ in the region of the $\ensuremath{\phi}\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}}$ resonance. We find that in a region within $0.01\text{ }\text{ }{\mathrm{GeV}}^{2}/{c}^{4}$ of the nominal $\ensuremath{\phi}$ mass squared ${\mathcal{F}}_{\ensuremath{-}}>0.91$ at the 90% confidence level.
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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 | 0.002 | 0.005 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.002 | 0.003 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.002 | 0.003 |
| Insufficient payload (model declined to judge) | 0.028 | 0.009 |
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".