We recently measured the branching fraction of the $B^{+}\rightarrow K^{+}ν\barν$ decay using 362fb$^{-1}$ 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 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 $|C_\mathrm{VL}+C_\mathrm{VR}|$, $|C_\mathrm{SL}+C_\mathrm{SR}|$, and $|C_\mathrm{TL}|$ corresponds to the point ${(11.3, 0.0, 8.2)}$. The respective 95% credible intervals are $[1.9, 16.2]$, $[0.0, 15.4]$, and $[0.0, 11.2]$.
The joint number density useful for reinterpretation in terms of new physics models (https://arxiv.org/abs/2402.08417). This is a 2d histogram of the ITA signal samples, combining both regions B (bins of $\eta(\rm{BDT}_2) \in [0.92, 0.94]$), binned in the kinematic variable $q^{2}_{\rm{gen}}$ and the fitting variables $q^{2}_{\rm{rec}} \times \eta(\rm{BDT}_2)$ (flattened).
The joint number density useful for reinterpretation in terms of new physics models (https://arxiv.org/abs/2402.08417). This is a 2d histogram of the HTA signal samples, binned in the kinematic variable $q^{2}_{\rm{gen}}$ and the fitting variable $\eta(\rm{BDTh})$.
We present a determination of the Cabibbo-Kobayashi-Maskawa matrix element $|V_{cb}|$ from the decay $B\to D\ellν_\ell$ using a $365~\mathrm{fb}^{-1}$$e^+e^-\toΥ(4S)\to B\bar B$ data sample recorded by the Belle II experiment at the SuperKEKB collider. The semileptonic decay of one $B$ meson is reconstructed in the modes $B^0\to D^-(\to K^+π^-π^-)\ell^+ν_\ell$ and $B^+\to \bar D^0(\to K^+π^-)\ell^+ν_\ell$, where $\ell$ denotes either an electron or a muon. Charge conjugation is implied. The second $B$ meson in the $Υ(4S)$ event is not reconstructed explicitly. Using an inclusive reconstruction of the unobserved neutrino momentum, we determine the recoil variable $w=v_B\cdot v_D$, where $v_B$ and $v_D$ are the 4-velocities of the $B$ and $D$ mesons. We measure the total decay branching fractions to be $\mathcal{B}(B^0\to D^-\ell^+ν_\ell)=(2.06 \pm 0.05\,(\mathrm{stat.}) \pm 0.10\,(\mathrm{sys.}))\%$ and $\mathcal{B}(B^+\to\bar D^0\ell^+ν_\ell)=(2.31 \pm 0.04\,(\mathrm{stat.}) \pm 0.09\,(\mathrm{sys.}))\%$. We probe lepton flavor universality by measuring $\mathcal{B}(B\to Deν_e)/\mathcal{B}(B\to Dμν_μ)=1.020 \pm 0.020\,(\mathrm{stat.})\pm 0.022\,(\mathrm{sys.})$. Fitting the partial decay branching fraction as a function of $w$ and using the average of lattice QCD calculations of the $B\to D$ form factor, we obtain $ |V_{cb}|=(39.2\pm 0.4\,(\mathrm{stat.}) \pm 0.6\,(\mathrm{sys.}) \pm 0.5\,(\mathrm{th.})$.
Differential decay rate $d\Gamma/dw$ for $B \to D \ell \nu$ averaged over 4 modes. The uncertainty listed represents the total uncertainty from statistical and systematic sources.
Differential decay rates $d\Gamma/dw$ for individual $B \to D \ell \nu$ modes. The uncertainty listed represents the total uncertainty from statistical and systematic sources.
Correlations (stat.+syst.) between the $d\Gamma_i/dw$ bins for the averaged $B \rightarrow D \ell \nu$ spectrum (10x10). Element indices 0-9 correspond to $w$ bins: 0: [1.00, 1.06], 1: [1.06, 1.12], 2: [1.12, 1.18], 3: [1.18, 1.24], 4: [1.24, 1.30], 5: [1.30, 1.36], 6: [1.36, 1.42], 7: [1.42, 1.48], 8: [1.48, 1.54], 9: [1.54, 1.59]
We present the results of a search for the charged-lepton-flavor violating decays $B^0 \rightarrow K^{*0}\tau^\pm \ell^{\mp}$, where $\ell^{\mp}$ is either an electron or a muon. The results are based on 365 fb$^{-1}$ and 711 fb$^{-1}$ datasets collected with the Belle II and Belle detectors, respectively. We use an exclusive hadronic $B$-tagging technique, and search for a signal decay in the system recoiling against a fully reconstructed $B$ meson. We find no evidence for $B^0 \rightarrow K^{*0}\tau^\pm \ell^{\mp}$ decays and set upper limits on the branching fractions in the range of $(2.9-6.4)\times10^{-5}$ at 90% confidence level.
$M_{\tau}$ distribution in signal region, (OS$e$, Belle)
$M_{\tau}$ distribution in signal region, (OS$e$, Belle II)
$M_{\tau}$ distribution in signal region, (OS$\mu$, Belle)
We search for the rare decay $B^{+}\rightarrow K^{+}\nu\bar{\nu}$ in a $362\ \rm{fb}^{-1}$ sample of electron-positron collisions at the $\Upsilon(4S)$ resonance collected with the Belle II detector at the SuperKEKB collider. We use the inclusive properties of the accompanying $B$ meson in $\Upsilon(4S) \to B\kern 0.18em\overline{\kern -0.18em B}{}$ events to suppress background from other decays of the signal $B$ candidate and light-quark pair production. We validate the measurement with an auxiliary analysis based on a conventional hadronic reconstruction of the accompanying $B$ 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 $B^{+}\rightarrow K^{+}\nu\bar{\nu}$ branching fraction of $\left[2.7\pm 0.5(\mathrm{stat})\pm 0.5(\mathrm{syst})\right] \times 10^{-5}$ and $\left[1.1^{+0.9}_{-0.8}(\mathrm{stat}){}^{+0.8}_{-0.5}(\mathrm{syst})\right] \times 10^{-5}$, respectively. Combining the results, we determine the branching fraction of the decay $B^{+}\rightarrow K^{+}\nu\bar{\nu}$ to be $\left[2.3 \pm 0.5(\mathrm{stat})^{+0.5}_{-0.4}(\mathrm{syst})\right]\times 10^{-5}$, 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.
- - - - - - - - Overview of HEPData Record - - - - - - - -<br/><br/></ul><b>Post-fit yields:</b><ul><li><a href="146803?version=1&table=Postfit%20yields%20Y(4S)%3A%20fit%20variable%20(ITA)">Y(4S) fit variable (ITA)</a><li><a href="146803?version=1&table=Postfit%20yields%20off-resonance%3A%20fit%20variable%20(ITA)">Off-resonance fit variable (ITA)</a><li><a href="146803?version=1&table=Postfit%20yields%20Y(4S)%3A%20%24%5Ceta(%5Crm%7BBDT%7D_%7B2%7D)%24%20(ITA)">Y(4S) $\eta(\rm{BDT}_{2})$ (ITA)</a><li><a href="146803?version=1&table=Postfit%20yields%20Y(4S)%3A%20%24q%5E%7B2%7D%24%20(HTA)">Y(4S) $q^{2}$ (ITA)</a><li><a href="146803?version=1&table=Postfit%20yields%20Y(4S)%3A%20%24%5Ceta(%5Crm%7BBDT%7D_%7B2%7D)%24%20(ITA%2C%20signal-rich)">Y(4S) $\eta(\rm{BDT}_{2})$ (ITA, signal-rich)</a><li><a href="146803?version=1&table=Postfit%20yields%20Y(4S)%3A%20%24q%5E%7B2%7D%24%20%20(ITA%2C%20signal-rich)">Y(4S) $q^{2}$ (ITA, signal-rich)</a><li><a href="146803?version=1&table=Postfit%20yields%20Y(4S)%3A%20fit%20variable%20(HTA)">Y(4S) fit variable (HTA)</a><li><a href="146803?version=1&table=Postfit%20yields%20Y(4S)%3A%20%24q%5E%7B2%7D%24%20(HTA)">Y(4S) $q^{2}$ (HTA)</a></ul><b>Signal selection efficiency:</b><ul><li><a href="146803?version=1&table=Selection%20efficiency%20(ITA)">ITA</a><li><a href="146803?version=1&table=Selection%20efficiency%20(HTA)">HTA</a></ul><b>Likelihoods:</b><ul><li><a href="146803?version=1&table=Profile%20likelihoods%20(HTA)">HTA</a><li><a href="146803?version=1&table=Profile%20likelihoods%20(ITA)">ITA</a><li><a href="146803?version=1&table=Profile%20likelihoods%20(Combined)">Combined</a></ul><b>Branching fraction summary:</b><ul><li><a href="146803?version=1&table=Branching%20fraction%20summary">Branching fraction summary</a></ul></ul>HistFactory json with full statistical model for combined likelihood and minimal fitting example are included under Resources.<ul>
Observed yields and fit results in bins of the $\eta(\rm{BDT}_{2})\times q^2_{\mathrm{rec}}$ space obtained by the ITA simultaneous fit to the off- and on-resonance data, corresponding to an integrated luminosity of 42 and 362 fb$^{-1}$, respectively. The yields are shown individually for the $B^+ \rightarrow K^{+}\nu\bar\nu$ signal, neutral and charged $B$-meson decays and the sum of the five continuum categories. The yields are obtained in bins of the $\eta(\rm{BDT}_{2})\times q^2_{\mathrm{rec}}$ space.
Observed yields and fit results in bins of the $\eta(\rm{BDT}_{2})\times q^2_{\mathrm{rec}}$ space obtained by the ITA simultaneous fit to the off- and on-resonance data, corresponding to an integrated luminosity of 42 and 362 fb$^{-1}$, respectively. The yields are shown individually for the $B^+ \rightarrow K^{+}\nu\bar\nu$ signal, neutral and charged $B$-meson decays and the sum of the five continuum categories. The yields are obtained in bins of the $\eta(\rm{BDT}_{2})\times q^2_{\mathrm{rec}}$ space.
We determine the CKM matrix-element magnitude $|V_{cb}|$ using $\overline{B}^0\to D^{*+}\ell^-\bar\nu_\ell$ decays reconstructed in $189 \, \mathrm{fb}^{-1}$ of collision data collected by the Belle II experiment, located at the SuperKEKB $e^+e^-$ collider. Partial decay rates are reported as functions of the recoil parameter $w$ and three decay angles separately for electron and muon final states. We obtain $|V_{cb}|$ using the Boyd-Grinstein-Lebed and Caprini-Lellouch-Neubert parametrizations, and find $|V_{cb}|_\mathrm{BGL}=(40.57\pm 0.31 \pm 0.95\pm 0.58)\times 10^{-3}$ and $|V_{cb}|_\mathrm{CLN}=(40.13 \pm 0.27 \pm 0.93\pm 0.58 )\times 10^{-3}$ with the uncertainties denoting statistical components, systematic components, and components from the lattice QCD input, respectively. The branching fraction is measured to be ${\cal B}(\overline{B}^0\to D^{*+}\ell^-\bar\nu_\ell)=(4.922 \pm 0.023 \pm 0.220)\%$. The ratio of branching fractions for electron and muon final states is found to be $0.998 \pm 0.009 \pm 0.020$. In addition, we determine the forward-backward angular asymmetry and the $D^{*+}$ longitudinal polarization fractions. All results are compatible with lepton-flavor universality in the Standard Model.
Measured partial decay rates $\Delta\Gamma$ (in units of $10^{-15}$ GeV)
Average of normalized decay rates over $\overline{B}^0\to D^{*+} e^- \bar\nu_e$ and $\overline{B}^0\to D^{*+} \mu^- \bar\nu_\mu$ decays
Full experimental (statistical and systematic) correlations (in \%) of the partial decay rates for the $\overline{B}^0\to D^{*+} e^- \bar\nu_e$ and $\overline{B}^0\to D^{*+} \mu^- \bar\nu_\mu$ decays.
The $L_{\mu}-L_{\tau}$ extension of the standard model predicts the existence of a lepton-flavor-universality-violating $Z^{\prime}$ boson that couples only to the heavier lepton families. We search for such a $Z^\prime$ through its invisible decay in the process $e^+ e^- \to \mu^+ \mu^- Z^{\prime}$. We use a sample of electron-positron collisions at a center-of-mass energy of 10.58GeV collected by the Belle II experiment in 2019-2020, corresponding to an integrated luminosity of 79.7fb$^{-1}$. We find no excess over the expected standard-model background. We set 90$\%$-confidence-level upper limits on the cross section for this process as well as on the coupling of the model, which ranges from $3 \times 10^{-3}$ at low $Z^{\prime}$ masses to 1 at $Z^{\prime}$ masses of 8$GeV/c^{2}$.
Observed 90% CL upper limits on the cross section $\sigma (e^+ e^- \to \mu^+ \mu^- Z', Z' \to $ invisible) as functions of the $Z'$ mass for the cases of negligible $\Gamma_{Z'}$ and for $\Gamma_{Z'} = 0.1 M_{Z'}$. Also shown are previous limits from Belle II.
Observed 90% CL upper limits on the coupling $g'$ for the fully invisible $L_\mu − L_\tau$ model as functions of the $Z'$ mass for the cases of negligible $\Gamma_{Z'}$ and for $\Gamma_{Z'} = 0.1 M_{Z'}$. Also shown are previous limits from NA64-e and Belle II searches. The red band shows the region that explains the muon anomalous magnetic moment $(g - 2)_\mu \pm 2 \sigma$. The vertical dashed line indicates the limit beyond which the hypothesis $B(Z' \to \chi\bar{\chi}) \approx 1$ is not respected in the negligible $\Gamma_{Z'}$ case.
Observed 90% CL upper limits on the coupling $g'$ for the vanilla $L_\mu − L_\tau$ model as functions of the $Z'$ mass. Also shown are previous limits from Belle II and NA64-e searches for invisible $Z'$ decays, and from Belle, BaBar and CMS searches for $Z'$ decays to muons (at 95% CL). The red band shows the region that explains the muon anomalous magnetic moment $(g - 2)_\mu \pm 2 \sigma$.
A search for the flavor-changing neutral-current decay $B^{+}\to K^{+}\nu\bar{\nu}$ is performed at the Belle II experiment at the SuperKEKB asymmetric energy electron-positron collider. The results are based on a data sample corresponding to an integrated luminosity of $63\,\mbox{fb}^{-1}$ collected at the $\Upsilon{(4S)}$ resonance and a sample of $9\,\mbox{fb}^{-1}$ collected at an energy $60\mathrm{\,Me\kern -0.1em V}$ below the resonance. A novel measurement method is employed, which exploits topological properties of the $B^{+}\to K^{+}\nu\bar{\nu}$ decay that differ from both generic bottom-meson decays and light-quark pair production. This inclusive tagging approach offers a higher signal efficiency compared to previous searches. No significant signal is observed. An upper limit on the branching fraction of $B^{+}\to K^{+}\nu\bar{\nu}$ of $4.1 \times 10^{-5}$ is set at the 90% confidence level.
- - - - - - - - Overview of HEPData Record - - - - - - - - <br/><br/> </ul> <b>Post-fit yields:</b> <ul> <li><a href="130199?version=1&table=Postfit%20yields%20Y(4S)">Y(4S)</a> <li><a href="130199?version=1&table=Postfit%20yields%20off-resonance">Off-resonance</a> </ul> <b>Exclusion limit:</b> <ul> <li><a href="130199?version=1&table=Expected%20and%20observed%20Limit">Expected limit and observed limit</a> </ul> <b>Efficiency:</b> <ul> <li><a href="130199?version=1&table=Selection%20efficiency">Selection efficiency as a function of $q^{2}$</a> </ul>
Yields in on-resonance data and as predicted by the simultaneous fit to the on- and off-resonance data, corresponding to an integrated luminosity of 63 and 9 fb$^{−1}$, respectively. The predicted yields are shown individually for charged and neutral B-meson decays and the five continuum background categories. The leftmost three bins belong to the first control region (CR1) with BDT$_{2} \in [0.93; 0.95]$ and the other nine bins correspond to the signal region (SR), three for each range of BDT$_{2} \in [0.95; 0.97; 0.99; 1.0]$. Each set of three bins is defined by $p_{T}(K^{+}) \in [0.5; 2.0; 2.4; 3.5] \rm{GeV}/c^{2}$.
Yields in off-resonance data and as predicted by the simultaneous fit to the on- and off-resonance data, corresponding to an integrated luminosity of 63 and 9 fb$^{−1}$, respectively. The predicted yields are shown individually for the five continuum background categories. The leftmost three bins belong to the third control region (CR3) with BDT$_{2} \in [0.93; 0.95]$ and the other nine bins correspond to the second control region (CR2), three for each range of BDT$_{2} \in [0.95; 0.97; 0.99; 1.0]$. Each set of three bins is defined by $p_{T}(K^{+}) \in [0.5; 2.0; 2.4; 3.5] \rm{GeV}/c^{2}$.
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