학술논문
First Simultaneous Determination of Inclusive and Exclusive $\left|V_{ub}\right|$
Document Type
Working Paper
Author
Belle Collaboration; Cao, L.; Bernlochner, F.; Tackmann, K.; Adachi, I.; Aihara, H.; Said, S. Al; Asner, D. M.; Atmacan, H.; Aushev, T.; Ayad, R.; Babu, V.; Bahinipati, S.; Banerjee, Sw.; Behera, P.; Belous, K.; Bennett, J.; Bessner, M.; Bhuyan, B.; Bilka, T.; Biswas, D.; Bobrov, A.; Bodrov, D.; Borah, J.; Bozek, A.; Bračko, M.; Branchini, P.; Browder, T. E.; Budano, A.; Campajola, M.; Červenkov, D.; Chang, M. -C.; Cheon, B. G.; Chilikin, K.; Cho, H. E.; Cho, K.; Cho, S. -J.; Choi, S. -K.; Choi, Y.; Choudhury, S.; Cinabro, D.; Cunliffe, S.; Das, S.; de Marino, G.; De Nardo, G.; De Pietro, G.; Dhamija, R.; Di Capua, F.; Dingfelder, J.; Doležal, Z.; Dong, T. V.; Ferber, T.; Ferlewicz, D.; Frey, A.; Fulsom, B. G.; Gaur, V.; Garmash, A.; Giri, A.; Goldenzweig, P.; Graziani, E.; Gu, T.; Guan, Y.; Gudkova, K.; Hadjivasiliou, C.; Halder, S.; Hara, T.; Hartbrich, O.; Hayasaka, K.; Hayashii, H.; Hedges, M. T.; Herrmann, D.; Hou, W. -S.; Hsu, C. -L.; Iijima, T.; Inami, K.; Ipsita, N.; Ishikawa, A.; Itoh, R.; Iwasaki, M.; Jacobs, W. W.; Jang, E. -J.; Jia, S.; Jin, Y.; Joo, K. K.; Kalita, D.; Kang, K. H.; Kiesling, C.; Kim, C. H.; Kim, D. Y.; Kim, K. -H.; Kim, Y. -K.; Kinoshita, K.; Kodyš, P.; Konno, T.; Korobov, A.; Korpar, S.; Kovalenko, E.; Križan, P.; Krokovny, P.; Kuhr, T.; Kumar, R.; Kumara, K.; Kuzmin, A.; Kwon, Y. -J.; Lange, J. S.; Laurenza, M.; Lee, S. C.; Lewis, P.; Li, J.; Li, L. K.; Li, Y.; Libby, J.; Lin, Y. -R.; Liventsev, D.; Luo, T.; Ma, Y.; Martini, A.; Masuda, M.; Matsuda, T.; Matvienko, D.; Maurya, S. K.; Meier, F.; Merola, M.; Metzner, F.; Miyabayashi, K.; Mizuk, R.; Mohanty, G. B.; Mrvar, M.; Mussa, R.; Nakamura, I.; Nakao, M.; Natkaniec, Z.; Natochii, A.; Nayak, L.; Nayak, M.; Nisar, N. K.; Nishida, S.; Ogawa, K.; Ogawa, S.; Ono, H.; Oskin, P.; Pakhlov, P.; Pakhlova, G.; Pang, T.; Pardi, S.; Park, H.; Park, J.; Park, S. -H.; Passeri, A.; Patra, S.; Paul, S.; Pedlar, T. K.; Pestotnik, R.; Piilonen, L. E.; Podobnik, T.; Prencipe, E.; Prim, M. T.; Rout, N.; Rozanska, M.; Russo, G.; Sandilya, S.; Sangal, A.; Santelj, L.; Savinov, V.; Schnell, G.; Schwanda, C.; Seino, Y.; Senyo, K.; Sevior, M. E.; Shan, W.; Shapkin, M.; Sharma, C.; Shen, C. P.; Shiu, J. -G.; Shwartz, B.; Sokolov, A.; Solovieva, E.; Starič, M.; Stottler, Z. S.; Sumihama, M.; Sutcliffe, W.; Takizawa, M.; Tamponi, U.; Tanida, K.; Tenchini, F.; Tiwary, R.; Trabelsi, K.; Uchida, M.; Uglov, T.; Unno, Y.; Uno, K.; Uno, S.; Ushiroda, Y.; Usov, Y.; Vahsen, S. E.; Varner, G.; Varvell, K. E.; Vossen, A.; Wang, D.; Wang, E.; Wang, M. -Z.; Watanuki, S.; Werbycka, O.; Won, E.; Xu, X.; Yabsley, B. D.; Yan, W.; Yang, S. B.; Yin, J. H.; Yook, Y.; Yusa, Y.; Zhang, Z. P.; Zhilich, V.; Zhukova, V.
Source
Phys. Rev. Lett. 131, 211801 (2023)
Subject
Language
Abstract
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.
Comment: 7 pages, 3 captioned figures, including supplemental material
Comment: 7 pages, 3 captioned figures, including supplemental material