A model-agnostic likelihood for the reinterpretation of the $boldsymbolB^+to K^+ νbarν$ measurement at Belle II

Kavli Affiliate: T. Higuchi

| First 5 Authors: Belle II Collaboration, Belle II Collaboration, , ,

| Summary:

We recently measured the branching fraction of the $B^+rightarrow
K^+nubarnu$ decay using 362 fb$^-1$ of on-resonance $e^+e^-$ collision
data, under the assumption of Standard Model kinematics, providing the first
evidence for this decay. To facilitate future reinterpretations and maximize
the scientific impact of this measurement, we hereby publicly release the full
analysis likelihood along with all necessary material required for
reinterpretation under arbitrary theoretical models sensitive to this
measurement. In this work, we demonstrate how the measurement can be
reinterpreted within the framework of the Weak Effective Theory. Using a
kinematic reweighting technique in combination with the published likelihood,
we derive marginal posterior distributions for the Wilson coefficients,
construct credible intervals, and assess the goodness of fit to the Belle II
data. For the Weak Effective Theory Wilson coefficients, the posterior mode of
the magnitudes $|C_mathrmVL+C_mathrmVR|$,
$|C_mathrmSL+C_mathrmSR|$, and $|C_mathrmTL|$ corresponds to the point
$(11.3, 0.00, 8.21)$. The respective 95% credible intervals are $[1.86,
16.2]$, $[0.00, 15.4]$, and $[0.00, 11.2]$.

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