Evidence for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mi>ν</mml:mi><mml:mover accent="true"><mml:mi>ν</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover></mml:mrow></mml:math> decays
Bibliographic record
Abstract
We search for the rare decay <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msup><a:mi>B</a:mi><a:mo>+</a:mo></a:msup><a:mo stretchy="false">→</a:mo><a:msup><a:mi>K</a:mi><a:mo>+</a:mo></a:msup><a:mi>ν</a:mi><a:mover accent="true"><a:mi>ν</a:mi><a:mo stretchy="false">¯</a:mo></a:mover></a:math> in a <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:mn>362</f:mn><f:mtext> </f:mtext><f:mtext> </f:mtext><f:msup><f:mi>fb</f:mi><f:mrow><f:mo>−</f:mo><f:mn>1</f:mn></f:mrow></f:msup></f:math> sample of electron-positron collisions at the <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"><h:mrow><h:mi mathvariant="normal">ϒ</h:mi><h:mo stretchy="false">(</h:mo><h:mn>4</h:mn><h:mi>S</h:mi><h:mo stretchy="false">)</h:mo></h:mrow></h:math> resonance collected with the Belle II detector at the SuperKEKB collider. We use the inclusive properties of the accompanying <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mi>B</m:mi></m:math> meson in <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mrow><o:mi mathvariant="normal">ϒ</o:mi><o:mo stretchy="false">(</o:mo><o:mn>4</o:mn><o:mi>S</o:mi><o:mo stretchy="false">)</o:mo><o:mo stretchy="false">→</o:mo><o:mrow><o:mi>B</o:mi><o:mover accent="true"><o:mrow><o:mi>B</o:mi></o:mrow><o:mrow><o:mo stretchy="false">¯</o:mo></o:mrow></o:mover></o:mrow></o:mrow></o:math> events to suppress background from other decays of the signal <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:mi>B</w:mi></w:math> candidate and light-quark pair production. We validate the measurement with an auxiliary analysis based on a conventional hadronic reconstruction of the accompanying <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"><y:mi>B</y:mi></y:math> meson. For background suppression, we exploit distinct signal features using machine learning methods tuned with simulated data. The signal-reconstruction efficiency and background suppression are validated through various control channels. The branching fraction is extracted in a maximum likelihood fit. Our inclusive and hadronic analyses yield consistent results for the <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"><ab:msup><ab:mi>B</ab:mi><ab:mo>+</ab:mo></ab:msup><ab:mo stretchy="false">→</ab:mo><ab:msup><ab:mi>K</ab:mi><ab:mo>+</ab:mo></ab:msup><ab:mi>ν</ab:mi><ab:mover accent="true"><ab:mi>ν</ab:mi><ab:mo stretchy="false">¯</ab:mo></ab:mover></ab:math> branching fraction of <fb:math xmlns:fb="http://www.w3.org/1998/Math/MathML" display="inline"><fb:mrow><fb:mo stretchy="false">[</fb:mo><fb:mn>2.7</fb:mn><fb:mo>±</fb:mo><fb:mn>0.5</fb:mn><fb:mo stretchy="false">(</fb:mo><fb:mrow><fb:mi>stat</fb:mi></fb:mrow><fb:mo stretchy="false">)</fb:mo><fb:mo>±</fb:mo><fb:mn>0.5</fb:mn><fb:mo stretchy="false">(</fb:mo><fb:mrow><fb:mi>syst</fb:mi></fb:mrow><fb:mo stretchy="false">)</fb:mo><fb:mo stretchy="false">]</fb:mo></fb:mrow><fb:mo>×</fb:mo><fb:msup><fb:mn>10</fb:mn><fb:mrow><fb:mo>−</fb:mo><fb:mn>5</fb:mn></fb:mrow></fb:msup></fb:math> and <nb:math xmlns:nb="http://www.w3.org/1998/Math/MathML" display="inline"><nb:mrow><nb:mo stretchy="false">[</nb:mo><nb:msubsup><nb:mn>1.1</nb:mn><nb:mrow><nb:mo>−</nb:mo><nb:mn>0.8</nb:mn></nb:mrow><nb:mrow><nb:mo>+</nb:mo><nb:mn>0.9</nb:mn></nb:mrow></nb:msubsup><nb:mo stretchy="false">(</nb:mo><nb:mrow><nb:mi>stat</nb:mi></nb:mrow><nb:msubsup><nb:mo stretchy="false">)</nb:mo><nb:mrow><nb:mo>−</nb:mo><nb:mn>0.5</nb:mn></nb:mrow><nb:mrow><nb:mo>+</nb:mo><nb:mn>0.8</nb:mn></nb:mrow></nb:msubsup><nb:mo stretchy="false">(</nb:mo><nb:mrow><nb:mi>syst</nb:mi></nb:mrow><nb:mo stretchy="false">)</nb:mo><nb:mo stretchy="false">]</nb:mo></nb:mrow><nb:mo>×</nb:mo><nb:msup><nb:mn>10</nb:mn><nb:mrow><nb:mo>−</nb:mo><nb:mn>5</nb:mn></nb:mrow></nb:msup></nb:math>, respectively. Combining the results, we determine the branching fraction of the decay <vb:math xmlns:vb="http://www.w3.org/1998/Math/MathML" display="inline"><vb:msup><vb:mi>B</vb:mi><vb:mo>+</vb:mo></vb:msup><vb:mo stretchy="false">→</vb:mo><vb:msup><vb:mi>K</vb:mi><vb:mo>+</vb:mo></vb:msup><vb:mi>ν</vb:mi><vb:mover accent="true"><vb:mi>ν</vb:mi><vb:mo stretchy="false">¯</vb:mo></vb:mover></vb:math> to be <ac:math xmlns:ac="http://www.w3.org/1998/Math/MathML" display="inline"><ac:mrow><ac:mo stretchy="false">[</ac:mo><ac:mn>2.3</ac:mn><ac:mo>±</ac:mo><ac:mn>0.5</ac:mn><ac:mo stretchy="false">(</ac:mo><ac:mrow><ac:mi>stat</ac:mi></ac:mrow><ac:msubsup><ac:mo stretchy="false">)</ac:mo><ac:mrow><ac:mo>−</ac:mo><ac:mn>0.4</ac:mn></ac:mrow><ac:mrow><ac:mo>+</ac:mo><ac:mn>0.5</ac:mn></ac:mrow></ac:msubsup><ac:mo stretchy="false">(</ac:mo><ac:mrow><ac:mi>syst</ac:mi></ac:mrow><ac:mo stretchy="false">)</ac:mo><ac:mo stretchy="false">]</ac:mo></ac:mrow><ac:mo>×</ac:mo><ac:msup><ac:mn>10</ac:mn><ac:mrow><ac:mo>−</ac:mo><ac:mn>5</ac:mn></ac:mrow></ac:msup></ac:math>, providing the first evidence for this decay at 3.5 standard deviations. The combined result is 2.7 standard deviations above the standard model expectation. Published by the American Physical Society 2024
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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 | 0.004 | 0.005 |
| Meta-epidemiology (narrow) | 0.004 | 0.006 |
| Meta-epidemiology (broad) | 0.002 | 0.010 |
| Bibliometrics | 0.001 | 0.004 |
| Science and technology studies | 0.005 | 0.006 |
| Scholarly communication | 0.005 | 0.005 |
| Open science | 0.007 | 0.008 |
| Research integrity | 0.004 | 0.006 |
| Insufficient payload (model declined to judge) | 0.184 | 0.011 |
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".