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Measurements of partial branching fractions of inclusive <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mi>u</mml:mi></mml:msub><mml:msup><mml:mo>ℓ</mml:mo><mml:mo>+</mml:mo></mml:msup><mml:msub><mml:mi>ν</mml:mi><mml:mo>ℓ</mml:mo></mml:msub></mml:math> decays with hadronic tagging

L. Cao,W. Sutcliffe,R. van Tonder,Florian Urs Bernlochner,I. Adachi,H. Aihara,S. Al Said,D. M. Asner,H. Atmacan,T. Aushev,R. Ayad,V. Babu,M. Bauer,Prafulla Kumar Behera,K. Belous,J. V. Bennett,M. Bessner,V. Bhardwaj,T. Bilka,Jyoti Prakash Biswal,G. Bonvicini,A. Bożek,M. Bračko,T. E. Browder,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,S. K. Choi,Y. Choi,Somnath Choudhury,D. Cinabro,S. Cunliffe,Santosh K. Das,N. Dash,G. De Nardo,F. Di Capua,J. Dingfelder,Zdeněk Doležal,T. V. Dong,S. Dubey,S. Eidelman,D. Epifanov,T. Ferber,D. Ferlewicz,A. Frey,B. G. Fulsom,Rocky Bala Garg,V. Gaur,A. Garmash,A. Giri,P. Goldenzweig,Y. H. Guan,C. Hadjivasiliou,T. Hara,O. Hartbrich,K. Hayasaka,H. Hayashii,M. T. Hedges,M. Hernández Villanueva,W.-S. Hou,C.-L. Hsu,T. Iijima,K. Inami,A. Ishikawa,R. Itoh,M. Iwasaki,Y. Iwasaki,W. W. Jacobs,E.-J. Jang,H. B. Jeon,S. Jia,Y. Jin,Changwoo Joo,K. K. Joo,K. H. Kang,G. Karyan,T. Kawasaki,H. Kichimi,C. Kiesling,B. H. Kim,C. H. Kim,D. Y. Kim,H. J. Kim,K.-H. Kim,S. H. Kim,Y.-K. Kim,K. Kinoshita,Peter Kodyš,T. Konno,A. Korobov,S. Korpar,D. Kotchetkov,E. Kovalenko,P. Križan,R. Kroeger,P. Krokovny,T. Kuhr,Mintu Kumar,Ramanuj Kumar,K. Kumara,A. Kuzmin,Y. J. Kwon,K. Lalwani,J. S. Lange,I. S. Lee,S. C. Lee,P. Lewis,C. H. Li,J. Li,L. K. Li,Y. B. Li,L. Li Gioi,J. Libby,K. Lieret,Z. Liptak,D. Liventsev,J. MacNaughton,C. MacQueen,M. Masuda,T. Matsuda,D. Matvienko,M. Merola,F. Metzner,K. Miyabayashi,R. Mizuk,G. B. Mohanty,T. J. Moon,Takashi Mori,M. Mrvar,R. Mussa,M. Nakao,Z. Natkaniec,A. Natochii,L. Nayak,M. Nayak,M. Niiyama,N. K. Nisar,S. Nishida,K. Nishimura,S. Ogawa,Hiroyuki Ono,Y. Onuki,P. Oskin,P. Pakhlov,G. Pakhlova,T. Pang,S. Pardi,C. W. Park,H. Park,S.-H. Park,S. Patra,S. Paul,T. K. Pedlar,R. Pestotnik,L. E. Piilonen,T. Podobnik,V. Popov,E. Prencipe,M. T. Prim,M. Ritter,M. Röhrken,A. Rostomyan,N. Rout,M. Różańska,G. Russo,Deepak Kumar Sahoo,Y. Sakai,S. Sandilya,A. Sangal,L. Ŝantelj,T. Sanuki,V. Savinov,G. Schnell,J. Schueler,C. Schwanda,A. J. Schwartz,Y. Seino,K. Senyo,M. E. Sevior,M. Shapkin,C. Sharma,C. P. Shen,J. G. Shiu,F. Simon,A. Sokolov,E. Solovieva,S. Stanič,M. Starič,Z. S. Stottler,J. Strube,T. Sumiyoshi,M. Takizawa,U. Tamponi,K. Tanida,F. Tenchini,K. Trabelsi,M. Uchida,T. Uglov,Y. Unno,S. Uno,P. Urquijo,Y. Usov,S. Vahsen,G. Varner,Kevin Varvell,A. Vinokurova,V. Vorobyev,A. Vossen,E. Waheed,C. H. Wang,E. Wang,M.-Z. Wang,P. Wang,M. Watanabe,S. Watanuki,S. Wehle,J. Wiechczynski,E. Won,Xiaolong Xu,B. D. Yabsley,W. B. Yan,S. B. Yang,H. Ye,J. H. Yin,C. Z. Yuan,Y. Yusa,Z. P. Zhang,V. Zhilich,V. Zhukova,Vladimir Zhulanov

Physics

Particle physics

Branching fraction

2021

We present measurements of partial branching fractions of inclusive semileptonic $B\ensuremath{\rightarrow}{X}_{u}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ decays using the full Belle dataset of $711\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ of integrated luminosity at the $\mathrm{\ensuremath{\Upsilon}}(4S)$ resonance and for $\ensuremath{\ell}=e$, $\ensuremath{\mu}$. Inclusive semileptonic $B\ensuremath{\rightarrow}{X}_{u}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ decays are Cabibbo-Kobayashi-Maskawa (CKM) suppressed and measurements are complicated by the large background from CKM favored $B\ensuremath{\rightarrow}{X}_{c}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ transitions, which have a similar signature. Using machine learning techniques, we reduce this and other backgrounds effectively, while retaining access to a large fraction of the $B\ensuremath{\rightarrow}{X}_{u}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ phase space and high signal efficiency. We measure partial branching fractions in three phase-space regions covering about 31% to 86% of the accessible $B\ensuremath{\rightarrow}{X}_{u}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ phase space. The most inclusive measurement corresponds to the phase space with lepton energies of ${E}_{\ensuremath{\ell}}^{B}>1\text{ }\text{ }\mathrm{GeV}$, and we obtain $\mathrm{\ensuremath{\Delta}}\mathcal{B}(B\ensuremath{\rightarrow}{X}_{u}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}})=(1.59\ifmmode\pm\else\textpm\fi{}0.07\ifmmode\pm\else\textpm\fi{}0.16)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$ from a two-dimensional fit of the hadronic mass spectrum and the four-momentum-transfer squared distribution, with the uncertainties denoting the statistical and systematic error. We find $|{V}_{ub}|=(4.10\ifmmode\pm\else\textpm\fi{}0.09\ifmmode\pm\else\textpm\fi{}0.22\ifmmode\pm\else\textpm\fi{}0.15)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$ from an average of four calculations for the partial decay rate with the third uncertainty denoting the average theory error. This value is higher but compatible with the determination from exclusive semileptonic decays within 1.3 standard deviations. In addition, we report charmless inclusive partial branching fractions separately for ${B}^{+}$ and ${B}^{0}$ mesons as well as for electron and muon final states. No isospin breaking or lepton flavor universality violating effects are observed.

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“Measurements of partial branching fractions of inclusive <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:msub><mml:mi>X</mml:mi><mml:mi>u</mml:mi></mml:msub><mml:msup><mml:mo>ℓ</mml:mo><mml:mo>+</mml:mo></mml:msup><mml:msub><mml:mi>ν</mml:mi><mml:mo>ℓ</mml:mo></mml:msub></mml:math> decays with hadronic tagging” is a paper by L. Cao W. Sutcliffe R. van Tonder Florian Urs Bernlochner I. Adachi H. Aihara S. Al Said D. M. Asner H. Atmacan T. Aushev R. Ayad V. Babu M. Bauer Prafulla Kumar Behera K. Belous J. V. Bennett M. Bessner V. Bhardwaj T. Bilka Jyoti Prakash Biswal G. Bonvicini A. Bożek M. Bračko T. E. Browder 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 S. K. Choi Y. Choi Somnath Choudhury D. Cinabro S. Cunliffe Santosh K. Das N. Dash G. De Nardo F. Di Capua J. Dingfelder Zdeněk Doležal T. V. Dong S. Dubey S. Eidelman D. Epifanov T. Ferber D. Ferlewicz A. Frey B. G. Fulsom Rocky Bala Garg V. Gaur A. Garmash A. Giri P. Goldenzweig Y. H. Guan C. Hadjivasiliou T. Hara O. Hartbrich K. Hayasaka H. Hayashii M. T. Hedges M. Hernández Villanueva W.-S. Hou C.-L. Hsu T. Iijima K. Inami A. Ishikawa R. Itoh M. Iwasaki Y. Iwasaki W. W. Jacobs E.-J. Jang H. B. Jeon S. Jia Y. Jin Changwoo Joo K. K. Joo K. H. Kang G. Karyan T. Kawasaki H. Kichimi C. Kiesling B. H. Kim C. H. Kim D. Y. Kim H. J. Kim K.-H. Kim S. H. Kim Y.-K. Kim K. Kinoshita Peter Kodyš T. Konno A. Korobov S. Korpar D. Kotchetkov E. Kovalenko P. Križan R. Kroeger P. Krokovny T. Kuhr Mintu Kumar Ramanuj Kumar K. Kumara A. Kuzmin Y. J. Kwon K. Lalwani J. S. Lange I. S. Lee S. C. Lee P. Lewis C. H. Li J. Li L. K. Li Y. B. Li L. Li Gioi J. Libby K. Lieret Z. Liptak D. Liventsev J. MacNaughton C. MacQueen M. Masuda T. Matsuda D. Matvienko M. Merola F. Metzner K. Miyabayashi R. Mizuk G. B. Mohanty T. J. Moon Takashi Mori M. Mrvar R. Mussa M. Nakao Z. Natkaniec A. Natochii L. Nayak M. Nayak M. Niiyama N. K. Nisar S. Nishida K. Nishimura S. Ogawa Hiroyuki Ono Y. Onuki P. Oskin P. Pakhlov G. Pakhlova T. Pang S. Pardi C. W. Park H. Park S.-H. Park S. Patra S. Paul T. K. Pedlar R. Pestotnik L. E. Piilonen T. Podobnik V. Popov E. Prencipe M. T. Prim M. Ritter M. Röhrken A. Rostomyan N. Rout M. Różańska G. Russo Deepak Kumar Sahoo Y. Sakai S. Sandilya A. Sangal L. Ŝantelj T. Sanuki V. Savinov G. Schnell J. Schueler C. Schwanda A. J. Schwartz Y. Seino K. Senyo M. E. Sevior M. Shapkin C. Sharma C. P. Shen J. G. Shiu F. Simon A. Sokolov E. Solovieva S. Stanič M. Starič Z. S. Stottler J. Strube T. Sumiyoshi M. Takizawa U. Tamponi K. Tanida F. Tenchini K. Trabelsi M. Uchida T. Uglov Y. Unno S. Uno P. Urquijo Y. Usov S. Vahsen G. Varner Kevin Varvell A. Vinokurova V. Vorobyev A. Vossen E. Waheed C. H. Wang E. Wang M.-Z. Wang P. Wang M. Watanabe S. Watanuki S. Wehle J. Wiechczynski E. Won Xiaolong Xu B. D. Yabsley W. B. Yan S. B. Yang H. Ye J. H. Yin C. Z. Yuan Y. Yusa Z. P. Zhang V. Zhilich V. Zhukova Vladimir Zhulanov published in 2021. It has an Open Access status of “hybrid”. You can read and download a PDF Full Text of this paper here.