Measurements of the branching fractions of the semileptonic decays $Ξ_{c}^{0} \to Ξ^{-} \ell^{+} ν_{\ell}$ and the asymmetry parameter of $Ξ_{c}^{0} \to Ξ^{-} π^{+}$
11 Mar 2021 · Belle Collaboration, Y. B. Li, C. P. Shen, I. Adachi, K. Adamczyk, H. Aihara, S. Al Said, D. M. Asner, T. Aushev, R. Ayad, V. Babu, P. Behera, J. Bennett, M. Bessner, V. Bhardwaj, B. Bhuyan, T. Bilka, J. Biswal, G. Bonvicini, A. Bozek, M. Bračko, T. E. Browder, M. Campajola, D. Červenkov, M. -C. Chang, A. Chen, B. G. Cheon, K. Chilikin, K. Cho, S. -J. Cho, S. -K. Choi, Y. Choi, S. Choudhury, D. Cinabro, S. Cunliffe, S. Das, N. Dash, G. De Nardo, R. Dhamija, F. Di Capua, T. V. Dong, S. Eidelman, D. Epifanov, T. Ferber, B. G. Fulsom, R. Garg, V. Gaur, N. Gabyshev, A. Garmash, A. Giri, P. Goldenzweig, O. Grzymkowska, K. Gudkova, C. Hadjivasiliou, O. Hartbrich, K. Hayasaka, H. Hayashii, M. Hernandez Villanueva, C. -L. Hsu, A. Ishikawa, R. Itoh, M. Iwasaki, Y. Iwasaki, W. W. Jacobs, S. Jia, Y. Jin, C. W. Joo, K. K. Joo, K. H. Kang, G. Karyan, Y. Kato, H. Kichimi, C. H. Kim, D. Y. Kim, K. -H. Kim, S. H. Kim, K. Kinoshita, P. Kodyš, T. Konno, A. Korobov, S. Korpar, E. Kovalenko, P. Križan, R. Kroeger, P. Krokovny, T. Kuhr, M. Kumar, R. Kumar, K. Kumara, A. Kuzmin, Y. -J. Kwon, K. Lalwani, J. S. Lange, I. S. Lee, S. C. Lee, C. H. Li, L. K. Li, L. Li Gioi, J. Libby, K. Lieret, D. Liventsev, M. Masuda, D. Matvienko, J. T. McNeil, F. Metzner, R. Mizuk, G. B. Mohanty, T. J. Moon, T. Mori, R. Mussa, A. Natochii, L. Nayak, M. Nayak, M. Niiyama, N. K. Nisar, S. Nishida, K. Nishimura, S. Ogawa, H. Ono, Y. Onuki, P. Pakhlov, G. Pakhlova, T. Pang, S. Pardi, H. Park, S. Patra, S. Paul, T. K. Pedlar, R. Pestotnik, L. E. Piilonen, T. Podobnik, V. Popov, E. Prencipe, M. T. Prim, M. Röhrken, A. Rostomyan, N. Rout, G. Russo, D. Sahoo, Y. Sakai, S. Sandilya, L. Santelj, T. Sanuki, V. Savinov, G. Schnell, C. Schwanda, Y. Seino, K. Senyo, M. Shapkin, C. Sharma, J. -G. Shiu, A. Sokolov, E. Solovieva, M. Starič, Z. S. Stottler, M. Sumihama, U. Tamponi, K. Tanida, F. Tenchini, M. Uchida, S. Uehara, T. Uglov, K. Uno, S. Uno, Y. Usov, R. Van Tonder, G. Varner, A. Vinokurova, A. Vossen, C. H. Wang, M. -Z. Wang, P. Wang, X. L. Wang, M. Watanabe, S. Watanuki, E. Won, X. Xu, W. Yan, S. B. Yang, H. Ye, J. H. Yin, C. Z. Yuan, Z. P. Zhang, V. Zhilich, V. Zhukova ·
Using data samples of 89.5 and 711 fb$^{-1}$ recorded at energies of $\sqrt{s}=10.52$ and $10.58$ GeV, respectively, with the Belle detector at the KEKB $e^+e^-$ collider, we report measurements of branching fractions of semileptonic decays $\Xi_{c}^{0} \to \Xi^{-} \ell^{+} \nu_{\ell}$ ($\ell=e$ or $\mu$) and the $CP$-asymmetry parameter of $\Xi_{c}^{0} \to \Xi^{-} \pi^{+}$ decay. The branching fractions are measured to be ${\cal B}(\Xi_{c}^{0} \to \Xi^{-} e^{+} \nu_{e})=(1.31 \pm 0.04 \pm 0.07 \pm 0.38)\%$ and ${\cal B}(\Xi_{c}^{0} \to \Xi^{-} \mu^{+} \nu_{\mu})=(1.27 \pm 0.06 \pm 0.10 \pm 0.37)\%$, and the decay parameter $\alpha_{\Xi\pi}$ is measured to be $0.63 \pm 0.03 \pm 0.01$ with much improved precision compared to the current world average. The corresponding ratio ${\cal B}(\Xi_{c}^{0} \to \Xi^{-} e^{+} \nu_{e})/{\cal B}(\Xi_{c}^{0} \to \Xi^{-} \mu^{+} \nu_{\mu})$ is $1.03 \pm 0.05\pm 0.07$, which is consistent with the expectation of lepton flavor universality. The first measured asymmetry parameter ${\cal A}_{CP} = (\alpha_{\Xi^{-}\pi^{+}} + \alpha_{\bar{\Xi}^{+}\pi^{-}})/(\alpha_{\Xi^{-}\pi^{+}} - \alpha_{\bar{\Xi}^{+}\pi^{-}}) = 0.024 \pm 0.052 \pm 0.014$ is found to be consistent with zero. The first and the second uncertainties above are statistical and systematic, respectively, while the third ones arise due to the uncertainty of the $\Xi_{c}^{0} \to \Xi^{-} \pi^+$ branching fraction.
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