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First Simultaneous Determination of Inclusive and Exclusive left|V_(ub)right|

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arxiv 2303.17309 v2 pith:IRLCLFWV submitted 2023-03-30 hep-ex hep-ph

First Simultaneous Determination of Inclusive and Exclusive left|V_(ub)right|

Belle Collaboration: L. Cao , F. Bernlochner , K. Tackmann , I. Adachi , H. Aihara , S. Al Said , D. M. Asner , H. Atmacan
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T. Aushev R. Ayad V. Babu S. Bahinipati Sw. Banerjee P. Behera K. Belous J. Bennett M. Bessner B. Bhuyan T. Bilka D. Biswas A. Bobrov D. Bodrov J. Borah A. Bozek M. Bra\v{c}ko P. Branchini T. E. Browder A. Budano M. Campajola D. \v{C}ervenkov M.-C. Chang B. G. Cheon K. Chilikin H. E. Cho K. Cho S.-J. Cho S.-K. Choi Y. Choi S. Choudhury D. Cinabro S. Cunliffe S. Das G. de Marino G. De Nardo G. De Pietro R. Dhamija F. Di Capua J. Dingfelder Z. Dole\v{z}al T. V. Dong T. Ferber D. Ferlewicz A. Frey B. G. Fulsom V. Gaur A. Garmash A. Giri P. Goldenzweig E. Graziani T. Gu Y. Guan K. Gudkova C. Hadjivasiliou S. Halder T. Hara O. Hartbrich K. Hayasaka H. Hayashii M. T. Hedges D. Herrmann W.-S. Hou C.-L. Hsu T. Iijima K. Inami N. Ipsita A. Ishikawa R. Itoh M. Iwasaki W. W. Jacobs E.-J. Jang S. Jia Y. Jin K. K. Joo D. Kalita K. H. Kang C. Kiesling C. H. Kim D. Y. Kim K.-H. Kim Y.-K. Kim K. Kinoshita P. Kody\v{s} T. Konno A. Korobov S. Korpar E. Kovalenko P. Kri\v{z}an P. Krokovny T. Kuhr R. Kumar K. Kumara A. Kuzmin Y.-J. Kwon J. S. Lange M. Laurenza S. C. Lee P. Lewis J. Li L. K. Li Y. Li J. Libby Y.-R. Lin D. Liventsev T. Luo Y. Ma A. Martini M. Masuda T. Matsuda D. Matvienko S. K. Maurya F. Meier M. Merola F. Metzner K. Miyabayashi R. Mizuk G. B. Mohanty M. Mrvar R. Mussa I. Nakamura M. Nakao Z. Natkaniec A. Natochii L. Nayak M. Nayak N. K. Nisar S. Nishida K. Ogawa S. Ogawa H. Ono P. Oskin P. Pakhlov G. Pakhlova T. Pang S. Pardi H. Park J. Park S.-H. Park A. Passeri S. Patra S. Paul T. K. Pedlar R. Pestotnik L. E. Piilonen T. Podobnik E. Prencipe M. T. Prim N. Rout M. Rozanska G. Russo S. Sandilya A. Sangal L. Santelj V. Savinov G. Schnell C. Schwanda Y. Seino K. Senyo M. E. Sevior W. Shan M. Shapkin C. Sharma C. P. Shen J.-G. Shiu B. Shwartz A. Sokolov E. Solovieva M. Stari\v{c} Z. S. Stottler M. Sumihama W. Sutcliffe M. Takizawa U. Tamponi K. Tanida F. Tenchini R. Tiwary K. Trabelsi M. Uchida T. Uglov Y. Unno K. Uno S. Uno Y. Ushiroda Y. Usov S. E. Vahsen G. Varner K. E. Varvell A. Vossen D. Wang E. Wang M.-Z. Wang S. Watanuki O. Werbycka E. Won X. Xu B. D. Yabsley W. Yan S. B. Yang J. H. Yin Y. Yook Y. Yusa Z. P. Zhang V. Zhilich V. Zhukova
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classification hep-ex hep-ph
keywords leftrightinclusivemathrmexclusivesystemdecaysdetermination
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The first simultaneous determination of the absolute value of the Cabibbo-Kobayashi-Maskawa matrix element $V_{ub}$ using inclusive and exclusive decays is performed with the full Belle data set at the $\Upsilon(4S)$ resonance, corresponding to an integrated luminosity of 711 fb${}^{-1}$. We analyze collision events in which one $B$ meson is fully reconstructed in hadronic modes. This allows for the reconstruction of the hadronic $X_u$ system of the semileptonic $b \to u \ell \bar \nu_\ell$ decay. We separate exclusive $B \to \pi \, \ell\, \bar \nu_{\ell}$ decays from other inclusive $B \to X_u \, \ell\, \bar \nu_{\ell}$ and backgrounds with a two-dimensional fit, that utilizes the number of charged pions in the $X_u$ system and the four-momentum transfer $q^2$ between the $B$ and $X_u$ system. Combining our measurement with information from lattice QCD and QCD calculations of the inclusive partial rate as well as external experimental information on the shape of the $B \to \pi \, \ell\, \bar \nu_{\ell}$ form factor, we determine $\left|V_{ub}^{\mathrm{excl.}} \right| = (3.78 \pm 0.23 \pm 0.16 \pm 0.14)\times 10^{-3}$ and $\left|V_{ub}^{\mathrm{incl.}} \right| = (3.88 \pm 0.20 \pm 0.31 \pm 0.09)\times 10^{-3}$, respectively, with the uncertainties being the statistical error, systematic errors, and theory errors. The ratio of $\left|V_{ub}^{\mathrm{excl.}} \right| / \left|V_{ub}^{\mathrm{incl.}} \right| = 0.97 \pm 0.12$ is compatible with unity.

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