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Register a new userMeasurement of Hadronic Mass Moments $langle M_X^n rangle $ in $B rightarrow X_c ell u $ Decays at Belle II
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We present measurements of the first six hadronic mass moments in semileptonic $B rightarrow X_c ell u $ decays. The hadronic mass moments, together with other observables of inclusive $B$ decays, can be used to determine the CKM matrix element $|{V_{cb}}|$ and mass of the $b$-quark $m_b$ in the context of Heavy Quark Expansions of QCD. The Belle~II data recorded at the $Upsilon (4S)$ resonance in 2019 and 2020 (March-July), corresponding to an integrated luminosity of $34.6;mathrm{fb}^{-1}$, is used for this measurement. The decay $Upsilon (4S) rightarrow B overline{B}$ is reconstructed by applying the hadronic tagging algorithm provided by the Full Event Interpretation to fully reconstruct one $B$ meson. The second $B$ meson is reconstructed inclusively by selecting a high-momentum lepton. The $X_c$ system is identified by the remaining reconstructed tracks and clusters in the electromagnetic calorimeter. We report preliminary results for the hadronic mass moments $langle M_X^n rangle $ with $n=1,dots,6$, measured as a function of a lower cut on the lepton momentum in the signal $B$ rest frame.
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We present the measurement of the first to fourth order moments of the four-momentum transfer squared, $q^2$, of inclusive $B rightarrow X_c ell^+ u_{ell}$ decays using the full Belle data set of 711 $mathrm{fb}^{-1}$ of integrated luminosity at the $Upsilon(4S)$ resonance where $ell = e, mu$. The determination of these moments and their systematic uncertainties open new pathways to determine the absolute value of the CKM matrix element $V_{cb}$ using a reduced set of matrix elements of the heavy quark expansion. In order to identify and reconstruct the $X_c$ system, we reconstruct one of the two $B$-mesons using machine learning techniques in fully hadronic decay modes. The moments are measured with progressively increasing threshold selections on $q^2$ starting with a lower value of 3.0 $mathrm{GeV}^2$ in steps of 0.5 $mathrm{GeV}^2$ up to a value of 10.0 $mathrm{GeV}^2$. The measured moments are further unfolded, correcting for reconstruction and selection effects as well as QED final state radiation. We report the moments separately for electron and muon final states and observe no lepton flavor universality violating effects.
We report a measurement of the branching fraction of the decay $B rightarrow D^{(*)}pi ell u$. The analysis uses 772$times 10^6$ $Bbar{B}$ pairs produced in $e^+e^-rightarrow Upsilon(4S)$ data recorded by the Belle experiment at the KEKB asymmetric-energy $e^+e^-$ collider. The tagging $B$ meson in the decay is fully reconstructed in a hadronic decay mode. On the signal side, we reconstruct the decay $B rightarrow D^{(*)}pi ell u$ $(ell=e,mu)$. The measured branching fractions are $mathcal{B}(B^+ rightarrow D^-pi^+ ell^+ u)$ = [4.55 $pm$ 0.27 (stat.) $pm$ 0.39 (syst.)]$times 10^{-3}$, $mathcal{B}(B^0 rightarrow bar{D}^0pi^- ell^+ u)$ = [4.05 $pm$ 0.36 (stat.) $pm$ 0.41 (syst.)]$times 10^{-3}$, $mathcal{B}(B^+ rightarrow D^{*-}pi^+ ell^+ u)$ = [6.03 $pm$ 0.43 (stat.) $pm$ 0.38 (syst.)]$times 10^{-3}$, and $mathcal{B}(B^0 rightarrow bar{D}^{*0}pi^- ell^+ u)$ = [6.46 $pm$ 0.53 (stat.) $pm$ 0.52 (syst.)]$times 10^{-3}$. These are in good agreement with the current world average values.
Tag-side reconstruction is an important method for reconstructing $B$ meson decays with missing energy. The Belle II tag-side reconstruction algorithm, Full Event Interpretation, relies on a hierarchical reconstruction of $B$ meson decays with multivariate classification employed at each stage of reconstruction. Given the large numbers of classifiers employed and decay chains reconstructed, the performance of the algorithm on data and simulation differs significantly. Here, calibration factors are derived for hadronic tag-side $B$ decays by measuring a signal side decay, $B rightarrow Xell u$, in $34.6$ fb$^{-1}$ of Belle II data. For a very loose selection on the tag-side $B$ multivariate classifier, the calibration factors are $0.65 pm 0.02$ and $0.83 pm 0.03$ for tag-side $B^{+}$ and $B^{0}$ mesons, respectively.
We study inclusive semi-leptonic (B -> X_c ell u) decay using the power counting m_c ~ sqrt{Lambda_{QCD} m_b}. Assuming this scaling for the charm-quark mass, the decay kinematics can be chosen to access the shape-function region even in b -> c transitions. To apply effective field theory methods in this region we extend SCET to describe massive collinear quarks. We calculate the tree-level decay rate, including O(Lambda_{QCD}/m_b) power corrections, and show that it factorizes into a convolution of jet and shape functions. We identify a certain kinematical variable whose decay spectrum is proportional to the universal leading-order shape function familiar from b -> u decay, and speculate as to whether information about this shape function can be extracted from data on b -> c decay.
We report on preliminary measurements of branching fractions, charge-parity-violating asymmetries, and longitudinal polarization fractions in charmless bottom-meson decays from the Belle~II experiment. We use samples of electron-positron collisions collected in 2019 and 2020 at the $Upsilon(4S)$ resonance, corresponding to integrated luminosities of up to 62.8 ${rm fb^{-1}}$. The results are compatible with known values, indicating good understanding of early detector performance.
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