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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 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 | 0.008 | 0.007 |
| Meta-epidemiology (narrow) | 0.005 | 0.008 |
| Meta-epidemiology (broad) | 0.003 | 0.009 |
| Bibliometrics | 0.002 | 0.005 |
| Science and technology studies | 0.009 | 0.010 |
| Scholarly communication | 0.006 | 0.006 |
| Open science | 0.009 | 0.009 |
| Research integrity | 0.009 | 0.009 |
| Insufficient payload (model declined to judge) | 0.020 | 0.005 |
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".