Measurement 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:mo>ℓ</mml:mo> <mml:mi>ν</mml:

A sample of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mn>365</a:mn> <a:mtext> </a:mtext> <a:mtext> </a:mtext> <a:msup> <a:mi>fb</a:mi> <a:mrow> <a:mo>−</a:mo> <a:mn>1</a:mn> </a:mrow> </a:msup> </a:math> of <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:mrow> <c:msup> <c:mi>e</c:mi> <c:mo>+</c:mo> </c:msup> <c:msup> <c:mi>e</c:mi> <c:mo>−</c:mo> </c:msup> </c:mrow> <c:mo stretchy="false">→</c:mo> <c:mi mathvariant="normal">ϒ</c:mi> <c:mo stretchy="false">(</c:mo> <c:mn>4</c:mn> <c:mi>S</c:mi> <c:mo stretchy="false">)</c:mo> <c:mo stretchy="false">→</c:mo> <c:mrow> <c:mi>B</c:mi> <c:mover accent="true"> <c:mi>B</c:mi> <c:mo stretchy="false">¯</c:mo> </c:mover> </c:mrow> </c:math> data collected by the Belle II experiment is used to measure the partial branching fractions of charmless semileptonic <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"> <l:mi>B</l:mi> </l:math> meson decays and determine the magnitude of the Cabibbo-Kobayashi-Maskawa (CKM) matrix element <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"> <n:msub> <n:mi>V</n:mi> <n:mrow> <n:mi>u</n:mi> <n:mi>b</n:mi> </n:mrow> </n:msub> </n:math> . Events containing a signal electron or muon <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"> <p:mo>ℓ</p:mo> </p:math> and a fully reconstructed hadronic <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"> <r:mi>B</r:mi> </r:math> decay that constrains the signal kinematics are selected, while the rest of the event defines the hadronic system <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"> <t:msub> <t:mi>X</t:mi> <t:mi>u</t:mi> </t:msub> </t:math> associated with the signal. To discriminate the signal from the 50-times larger background originating from CKM-favored semileptonic <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"> <v:mi>B</v:mi> </v:math> decays, a template fit is performed in both signal and control regions after applying an optimized selection. The partial branching fraction measured for lepton energies greater than 1 GeV in the signal <x:math xmlns:x="http://www.w3.org/1998/Math/MathML" display="inline"> <x:mi>B</x:mi> </x:math> meson rest frame is <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" display="inline"> <z:mrow> <z:mi mathvariant="normal">Δ</z:mi> <z:mi mathvariant="script">B</z:mi> </z:mrow> <z:mo stretchy="false">(</z:mo> <z:mrow> <z:mi>B</z:mi> <z:mo stretchy="false">→</z:mo> <z:msub> <z:mi>X</z:mi> <z:mi>u</z:mi> </z:msub> <z:mo>ℓ</z:mo> <z:mi>ν</z:mi> </z:mrow> <z:mo stretchy="false">)</z:mo> <z:mo>=</z:mo> <z:mo stretchy="false">(</z:mo> <z:mn>1.54</z:mn> <z:mo>±</z:mo> <z:mn>0.08</z:mn> <z:mrow> <z:mo stretchy="false">(</z:mo> <z:mi>stat</z:mi> <z:mo stretchy="false">)</z:mo> </z:mrow> <z:mo>±</z:mo> <z:mn>0.12</z:mn> <z:mrow> <z:mo stretchy="false">(</z:mo> <z:mi>syst</z:mi> <z:mo stretchy="false">)</z:mo> </z:mrow> <z:mo stretchy="false">)</z:mo> <z:mo>×</z:mo> <z:msup> <z:mn>10</z:mn> <z:mrow> <z:mo>−</z:mo> <z:mn>3</z:mn> </z:mrow> </z:msup> </z:math> . From this measurement, using the Gambino, Giordano, Ossola, Uraltsev theoretical framework, <mb:math xmlns:mb="http://www.w3.org/1998/Math/MathML" display="inline"> <mb:mo stretchy="false">|</mb:mo> <mb:msub> <mb:mi>V</mb:mi> <mb:mrow> <mb:mi>u</mb:mi> <mb:mi>b</mb:mi> </mb:mrow> </mb:msub> <mb:mo stretchy="false">|</mb:mo> <mb:mo>=</mb:mo> <mb:mo stretchy="false">(</mb:mo> <mb:mn>4.01</mb:mn> <mb:mo>±</mb:mo> <mb:mn>0.1</mb:mn> <mb:msubsup> <mb:mn>9</mb:mn> <mb:mrow> <mb:mo>−</mb:mo> <mb:mn>0.08</mb:mn> </mb:mrow> <mb:mrow> <mb:mo>+</mb:mo> <mb:mn>0.07</mb:mn> </mb:mrow> </mb:msubsup> <mb:mo stretchy="false">)</mb:mo> <mb:mo>×</mb:mo> <mb:msup> <mb:mn>10</mb:mn> <mb:mrow> <mb:mo>−</mb:mo> <mb:mn>3</mb:mn> </mb:mrow> </mb:msup> </mb:math> is determined, where the uncertainties are experimental and theoretical, respectively. This value is consistent with the world average obtained from previous inclusive measurements. Different theoretical predictions and partial branching fractions measured in other phase-space regions, defined by additional selections on the <sb:math xmlns:sb="http://www.w3.org/1998/Math/MathML" display="inline"> <sb:msub> <sb:mi>X</sb:mi> <sb:mi>u</sb:mi> </sb:msub> </sb:math> and leptonic system masses, are also used to determine <ub:math xmlns:ub="http://www.w3.org/1998/Math/MathML" display="inline"> <ub:mo stretchy="false">|</ub:mo> <ub:msub> <ub:mi>V</ub:mi> <ub:mrow> <ub:mi>u</ub:mi> <ub:mi>b</ub:mi> </ub:mrow> </ub:msub> <ub:mo stretchy="false">|</ub:mo> </ub:math> . This allows for a comparison of the resulting values across theoretical frameworks and phase-space regions.

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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2026-01-13
DOI
https://doi.org/10.1103/59ws-zxbt
Primary Topic
Quantum Chromodynamics and Particle Interactions
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article
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article

Measurement 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:mo>ℓ</mml:mo> <mml:mi>ν</mml:

Y. Onuki, Y. Sato, Shinichi Ogawa, M. Alhakami et al.
Physical review. D/Physical review. D.
Quantum Chromodynamics and Particle Interactions
article

Measurement 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:mo>ℓ</mml:mo> <mml:mi>ν</mml:

Y. Onuki, Y. Sato, Shinichi Ogawa, M. Alhakami, S. Longo, M. Garcia-Hernandez, C. Schwanda, G. Gaudino, M. Kaleta, H. J. Moss, H. Ghumaryan, H. Svidras, E. -J. Jang, S. Hazra, G. Raeuber, K. Yi, S. Maity, S. Raiz, C. Ketter, R. Okubo, P. Cheema, A. Beaubien, L. Aggarwal, D. Biswas, Hwan Bae, C. Praz, S. Kohani, A. Lozar, Michael H. Bartl, D. Y. Kim, Y. Kulii, C. Wessel, M. Bessner, R. Mehta, A. Bobrov, M. Piccolo, K. Matsuoka, A. Rostomyan, V. Bhardwaj, Lorenzo G. Vitale, A. Baur, I. Ripp-Baudot, C. Li, C. Hearty, I. Tsaklidis, P. Stavroulakis, G. Ghevondyan, D. Shtol, L. Cao, R. Tiwary, R. A. Briere, P. Rados, F. Otani, A. Fodor, A. Novosel, K. Adamczyk, P. Bambade, C. Mariñas, T. Humair, Mary P. Neu, J. Haba, T. Kawasaki, K. Unger, G. Bonvicini, N. Althubiti, O. Tittel, M. A. Uchida, T. Koga, A. Gellrich, B. Scavino, D. Meleshko, L. Massaccesi, J. Skorupa, Toru Iijima, S. Spataro, G. Casarosa, D. Shtol, T. Ferber, Marko Staric, Antonio Budano, Rok Pestotnik, Yutaka Ushiroda, John Yelton, Tadeas Bilka, C. Hsu, C. Martellini, M. Takizawa, S. Uno, S. Longo, A. Penzo, K. Dungs, X. Yuan, M. Veronesi, Umberto Tamponi, Luigi Corona, P. Cheema, Kazutaka Sumisawa, T. Martinov, V. Babintsev, R. Mussa, S. K. Maurya, Cheshta Cheshta, Anonymous, L. E. Piilonen, R. Kowalewski, J. Dingfelder, H. Atmacan, J. A. Colorado-Caicedo, M. Khan, K. Ravindran, I. Nakamura, E. De La Cruz-Burelo, M. Nayak, R. Volpe, Sw. Banerjee, M. Barrett, J. B. Singh, S. H. Robertson, W. Z. Li, D. Biswas, S. A. De La Motte, H. Murakami, Y. Jin, J. X. Cui, A. Warburton, G. Mancinelli, R. van Tonder, T. V. Dong, H. Svidras, Z. Doležal, G. Heine, J. V. Bennett, T. Lam, Q. Campagna, E. Torassa, V. Babu, S. Tanaka, K. Yoshihara, K. Kumara, R. Manfredi, B. D. Yabsley, M. Naruki, J. S. Lange, K. Parham, V. Vobbilisetti, T. Tien Manh, I. Domínguez Jiménez, B. Zhang, G. Rizzo, K. Senyo, S. E. Vahsen, M. Maggiora, R. de Sangro, S.-J. Cho, H. Chetri, H. Hayashii, S. Lin, G. Sharma, K. Park, T. E. Browder, Z. Natkaniec, M. Schnepf, S. Choudhury, M. Marfoli, N. Anh Ky, A. Passeri, D. Y. Kim, M. Iwasaki, J. S. Zhou, L. Zhu, C. Kiesling, B. Bhuyan, T. Aushev, R. Giordano, C. Miller, M. Hohmann, S. S. Tang, F. Testa, S. K. Maurya, F. Zeng, C. Lemettais, Y. Guan, M. Nakao, R. J. Sobie, R. Itoh, P. Horak, T. S. Lau, S. Alghamdi, K.-H. Kim, K. Uno, A. Korobov, D. A. Sanders, A. Ishikawa, C. Li, J. L. Ma, M. Mirra, D. Kumar, M. Dorigo, M. Graf-Schreiber, M. Mrvar, A. Giri, A. Huang, S. Reiter, F. F. Trantou, G. Pakhlova, Q. M. Li, T. Higuchi, S. Schneider, C. Antonioli, V. Zhilich, S. P. Maharana, X. D. Shi, T. K. Pedlar, D. M. Asner, M. Hernández Villanueva, J. A. McKenna, K. Gudkova, E. Prencipe, B. G. Cheon, C. Finck, S.-K. Choi, N. Rout, A. Heidelbach, S. Nishida, F. U. Bernlochner, E. Ganiev, S. Jia, A. Natochii, Q. D. Zhou, C. Cecchi, R. Hoppe, C. Sfienti, R. Mizuk, Y. Han, R. Leboucher, X. T. Hou, C. Schmitt, E. Graziani, A. Sokolov, Y. Seino, L. K. Li, P. Goldenzweig, A. B. Kaliyar, A. Gale, G. B. Mohanty, V. S. Vismaya, V. Bertacchi, W. W. Jacobs, M. Laurenza, P. Kodyš, K. Kinoshita, M. Mantovano, P. Jackson, K. Trabelsi, G. De Nardo, R. A. Briere, S. Bahinipati, A. Glazov, S. Paul, F. Simon, S. Lacaprara, P. M. Lewis, M. Reif, S. Moneta, I. Ueda, D. Jacobi, M. H. Liu, B. Spruck, K. Chirapatpimol, M. T. Prim, Y. Nakazawa, T. Kuhr, L. Zani, S. Chutia, W. Shan, J. Cochran, P. L. M. Podesta-Lerma, H. Miyake, L. Chen, J. M. Roney, G. Giakoustidis, M. Bračko, B. G. Fulsom, L. Lanceri, J. Park, D. Ricalde Herrmann, E. Won, A. Boschetti, N. Akopov, D. Bodrov, J. Serrano, Y.-J. Kwon, A. Aloisio, M. Bertemes, S. Dey, J. Libby, D. Matvienko, Y. Ma, R. Godang, M. Wakai, S. Patra, A. Bozek, A. Johnson, M. Hoek, T. Podobnik, K. H. Kang, F. Tenchini, S. Pardi, I. Adachi, S. Sandilya, V. Savinov, A. Di Canto, X. P. Xu, Y. Yusa, R. Stroili, W. Yan, D. Ghosh, Y. B. Li, A. Panta, E. Solovieva, K. Cho, H. Aihara, J. Chin, M. E. Sevior, I. Heredia de la Cruz, M.-Z. Wang, H.-E. Cho, S. Korpar, P. Ecker, L. Salutari, E. Kovalenko, T. Shillington, J. Becker, K. E. Varvell, R. Farkas, S.-H. Park, C. Lyu, K. Kojima, V. Gautam, Q. Y. Liu, J. Eppelt, T. Shimasaki, D. Marcantonio, R. Garg, M. J. Lee, H. Purwar, J. Yuan, K. Schoenning, M. Sobotzik, F. Becherer, Z. Mediankin Gruberová, H.-G. Moser, Z. Liu, R. Ayad, S. Prell, Y. Unno, I. Haide, E. Manoni, R. Nomaru, T. Lueck, A. Gabrielli, H. Lee, A. L. Moreira de Carvalho, H. Kindo, T. Fillinger, S. Bussino, P. Leo, D. Greenwald, K. Špenko, F. Keil, A. Martens, F. Meier, Y. P. Liao, G. De Pietro, K. Inami, A. Sibidanov, N. Ipsita, F. R. Le Diberder, P. Urquijo, K. Amos, P. Krokovny, P. Gironella Gironell, J. H. Yin, M. Takahashi, S. Watanuki, A. Soffer, C. Z. Yuan, S. Wallner, P. Križan, M. T. Hedges, F. Forti, J. Lin, X. Dong, F. Bianchi, H. Ahmed, J. U. Rehman, I. Consigny, A. Selce, K. Miyabayashi, N. K. Baghel, S. Saha, O. Tittel, V. Gaur, M. Bessner, M. Zeyrek, R. Žlebčík, P. Chang, L. Cao, L. Reuter, A. Gaz, S. Kang, M. Merola, J. Kandra, Y. Ahn
article en

Abstract

A sample of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mn>365</a:mn> <a:mtext> </a:mtext> <a:mtext> </a:mtext> <a:msup> <a:mi>fb</a:mi> <a:mrow> <a:mo>−</a:mo> <a:mn>1</a:mn> </a:mrow> </a:msup> </a:math> of <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:mrow> <c:msup> <c:mi>e</c:mi> <c:mo>+</c:mo> </c:msup> <c:msup> <c:mi>e</c:mi> <c:mo>−</c:mo> </c:msup> </c:mrow> <c:mo stretchy="false">→</c:mo> <c:mi mathvariant="normal">ϒ</c:mi> <c:mo stretchy="false">(</c:mo> <c:mn>4</c:mn> <c:mi>S</c:mi> <c:mo stretchy="false">)</c:mo> <c:mo stretchy="false">→</c:mo> <c:mrow> <c:mi>B</c:mi> <c:mover accent="true"> <c:mi>B</c:mi> <c:mo stretchy="false">¯</c:mo> </c:mover> </c:mrow> </c:math> data collected by the Belle II experiment is used to measure the partial branching fractions of charmless semileptonic <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"> <l:mi>B</l:mi> </l:math> meson decays and determine the magnitude of the Cabibbo-Kobayashi-Maskawa (CKM) matrix element <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"> <n:msub> <n:mi>V</n:mi> <n:mrow> <n:mi>u</n:mi> <n:mi>b</n:mi> </n:mrow> </n:msub> </n:math> . Events containing a signal electron or muon <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"> <p:mo>ℓ</p:mo> </p:math> and a fully reconstructed hadronic <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"> <r:mi>B</r:mi> </r:math> decay that constrains the signal kinematics are selected, while the rest of the event defines the hadronic system <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"> <t:msub> <t:mi>X</t:mi> <t:mi>u</t:mi> </t:msub> </t:math> associated with the signal. To discriminate the signal from the 50-times larger background originating from CKM-favored semileptonic <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"> <v:mi>B</v:mi> </v:math> decays, a template fit is performed in both signal and control regions after applying an optimized selection. The partial branching fraction measured for lepton energies greater than 1 GeV in the signal <x:math xmlns:x="http://www.w3.org/1998/Math/MathML" display="inline"> <x:mi>B</x:mi> </x:math> meson rest frame is <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" display="inline"> <z:mrow> <z:mi mathvariant="normal">Δ</z:mi> <z:mi mathvariant="script">B</z:mi> </z:mrow> <z:mo stretchy="false">(</z:mo> <z:mrow> <z:mi>B</z:mi> <z:mo stretchy="false">→</z:mo> <z:msub> <z:mi>X</z:mi> <z:mi>u</z:mi> </z:msub> <z:mo>ℓ</z:mo> <z:mi>ν</z:mi> </z:mrow> <z:mo stretchy="false">)</z:mo> <z:mo>=</z:mo> <z:mo stretchy="false">(</z:mo> <z:mn>1.54</z:mn> <z:mo>±</z:mo> <z:mn>0.08</z:mn> <z:mrow> <z:mo stretchy="false">(</z:mo> <z:mi>stat</z:mi> <z:mo stretchy="false">)</z:mo> </z:mrow> <z:mo>±</z:mo> <z:mn>0.12</z:mn> <z:mrow> <z:mo stretchy="false">(</z:mo> <z:mi>syst</z:mi> <z:mo stretchy="false">)</z:mo> </z:mrow> <z:mo stretchy="false">)</z:mo> <z:mo>×</z:mo> <z:msup> <z:mn>10</z:mn> <z:mrow> <z:mo>−</z:mo> <z:mn>3</z:mn> </z:mrow> </z:msup> </z:math> . From this measurement, using the Gambino, Giordano, Ossola, Uraltsev theoretical framework, <mb:math xmlns:mb="http://www.w3.org/1998/Math/MathML" display="inline"> <mb:mo stretchy="false">|</mb:mo> <mb:msub> <mb:mi>V</mb:mi> <mb:mrow> <mb:mi>u</mb:mi> <mb:mi>b</mb:mi> </mb:mrow> </mb:msub> <mb:mo stretchy="false">|</mb:mo> <mb:mo>=</mb:mo> <mb:mo stretchy="false">(</mb:mo> <mb:mn>4.01</mb:mn> <mb:mo>±</mb:mo> <mb:mn>0.1</mb:mn> <mb:msubsup> <mb:mn>9</mb:mn> <mb:mrow> <mb:mo>−</mb:mo> <mb:mn>0.08</mb:mn> </mb:mrow> <mb:mrow> <mb:mo>+</mb:mo> <mb:mn>0.07</mb:mn> </mb:mrow> </mb:msubsup> <mb:mo stretchy="false">)</mb:mo> <mb:mo>×</mb:mo> <mb:msup> <mb:mn>10</mb:mn> <mb:mrow> <mb:mo>−</mb:mo> <mb:mn>3</mb:mn> </mb:mrow> </mb:msup> </mb:math> is determined, where the uncertainties are experimental and theoretical, respectively. This value is consistent with the world average obtained from previous inclusive measurements. Different theoretical predictions and partial branching fractions measured in other phase-space regions, defined by additional selections on the <sb:math xmlns:sb="http://www.w3.org/1998/Math/MathML" display="inline"> <sb:msub> <sb:mi>X</sb:mi> <sb:mi>u</sb:mi> </sb:msub> </sb:math> and leptonic system masses, are also used to determine <ub:math xmlns:ub="http://www.w3.org/1998/Math/MathML" display="inline"> <ub:mo stretchy="false">|</ub:mo> <ub:msub> <ub:mi>V</ub:mi> <ub:mrow> <ub:mi>u</ub:mi> <ub:mi>b</ub:mi> </ub:mrow> </ub:msub> <ub:mo stretchy="false">|</ub:mo> </ub:math> . This allows for a comparison of the resulting values across theoretical frameworks and phase-space regions.

Physical review. D/Physical review. D.Vol. 113(3)
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Quantum Chromodynamics and Particle Interactions
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