Measurements of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math> moments of inclusive <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>B</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:msup><mml:mrow><mml:mo>ℓ</mml:mo></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mi>ν</mml:mi></mml:mrow><mml:mrow><mml:mo>ℓ</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math> decays with hadronic tagging
R. van Tonder, L. Cao, W. Sutcliffe, M. Welsch, F. U. Bernlochner, I. Adachi, H. Aihara, D. M. Asner, T. Aushev, R. Ayad, V. Babu, P. K. Behera, K. Belous, J. V. Bennett, M. Bessner, V. Bhardwaj, B. Bhuyan, T. Bilka, J. P. Biswal, A. Bobrov, D. Bodrov, J. Borah, A. Bożek, M. Bračko, P. Branchini, A. Budano, M. Campajola, D. Červenkov, M.-C. Chang, P. Chang, V. Chekelian, A. Chen, B. G. Cheon, K. Chilikin, H. E. Cho, K. Cho, S.-J. Cho, Y. Choi, S. Choudhury, D. Cinabro, S. Cunliffe, S. Das, G. De Nardo, G. De Pietro, R. Dhamija, F. Di Capua, J. Dingfelder, Z. Doležal, T. V. Dong, S. Dubey, D. Epifanov, T. Ferber, B. G. Fulsom, R. B. Garg, V. Gaur, N. Gabyshev, A. Giri, P. Goldenzweig, E. Graziani, T. Gu, Y. Guan, K. Gudkova, C. Hadjivasiliou, S. Halder, O. Hartbrich, K. Hayasaka, H. Hayashii, W.-S. Hou, C.-L. Hsu, T. Iijima, K. Inami, A. Ishikawa, R. Itoh, M. Iwasaki, W. W. Jacobs, S. Jia, Y. Jin, K. K. Joo, A. B. Kaliyar, K. H. Kang, G. Karyan, H. Kichimi, C. Kiesling, C. H. Kim, D. Y. Kim, K.-H. Kim, Y.-K. Kim, K. Kinoshita, P. Kodyš, T. Konno, S. Korpar, E. Kovalenko, P. Križan, R. Kroeger, P. Krokovny, T. Kuhr, M. Kumar, R. Kumar, K. Kumara, A. Kuzmin
Abstract
We present the measurement of the first to fourth order moments of the four-momentum transfer squared, ${q}^{2}$, of inclusive $B\ensuremath{\rightarrow}{X}_{c}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ decays using the full Belle dataset of $711\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ of integrated luminosity at the $\mathrm{\ensuremath{\Upsilon}}(4S)$ resonance where $\ensuremath{\ell}=e$, $\ensuremath{\mu}$. The determination of these moments and their systematic uncertainties open new pathways to determine the absolute value of the Cabibbo-Kobayashi-Maskawa 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 $3.0\text{ }\text{ }{\mathrm{GeV}}^{2}$ in steps of $0.5\text{ }\text{ }{\mathrm{GeV}}^{2}$ up to a value of $10.0\text{ }\text{ }{\mathrm{GeV}}^{2}$. 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.