arXiv · 1509.01098
First model-independent Dalitz analysis of $B^0 \to DK^{*0}$, $D\to K_S^0\pi^+\pi^-$ decay
Abstract
We report a measurement of the amplitude ratio $r_S$ of $B^0 \to D^0K^{*0}$ and $B^0 \to \bar{D^0}K^{*0}$ decays with a Dalitz analysis of $D\to K_S^0\pi^+\pi^-$ decays, for the first time using a model-independent method. We set an upper limit $r_S < 0.87$ at the 68\% confidence level, using the full data sample of $772\times10^6$ $B\bar{B}$ pairs collected at the $\Upsilon(4S)$ resonance with the Belle detector at the KEKB $e^+e^-$ collider. This result is obtained from observables $x_- = +0.4 ^{+1.0 +0.0}_{-0.6 -0.1} \pm0.0$, $y_- = -0.6 ^{+0.8 +0.1}_{-1.0 -0.0} \pm0.1$, $x_+ = +0.1 ^{+0.7 +0.0}_{-0.4 -0.1} \pm0.1$ and $y_+ = +0.3 ^{+0.5 +0.0}_{-0.8 -0.1} \pm0.1$, where $x_\pm = r_S \cos(\delta_S \pm \phi_3)$, $y_\pm = r_S \sin(\delta_S \pm \phi_3)$ and $\phi_3~(\delta_S)$ is the weak (strong) phase difference between $B^0 \to D^0K^{*0}$ and $B^0 \to \bar{D^0}K^{*0}$.
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Belle Collaboration, K. Negishi, A. Ishikawa, H. Yamamoto, A. Abdesselam, I. Adachi, H. Aihara, S. Al Said, D. M. Asner, V. Aulchenko, T. Aushev, R. Ayad, V. Babu, I. Badhrees, S. Bahinipati, A. M. Bakich, E. Barberio, J. Biswal, G. Bonvicini, A. Bozek, M. Bračko, T. E. Browder, V. Chekelian, A. Chen, B. G. Cheon, K. Chilikin, R. Chistov, K. Cho, V. Chobanova, S. -K. Choi, Y. Choi, D. Cinabro, J. Dalseno, M. Danilov, Z. Doležal, A. Drutskoy, D. Dutta, S. Eidelman, H. Farhat, J. E. Fast, T. Ferber, B. G. Fulsom, V. Gaur, N. Gabyshev, A. Garmash, D. Getzkow, R. Gillard, R. Glattauer, Y. M. Goh, P. Goldenzweig, B. Golob, O. Grzymkowska, J. Haba, T. Hara, K. Hayasaka, H. Hayashii, X. H. He, T. Horiguchi, W. -S. Hou, T. Iijima, K. Inami, R. Itoh, Y. Iwasaki, I. Jaegle, D. Joffe, K. K. Joo, T. Julius, K. H. Kang, T. Kawasaki, C. Kiesling, D. Y. Kim, J. B. Kim, J. H. Kim, K. T. Kim, M. J. Kim, S. H. Kim, Y. J. Kim, K. Kinoshita, B. R. Ko, P. Kodyš, S. Korpar, P. Križan, P. Krokovny, T. Kumita, A. Kuzmin, Y. -J. Kwon, J. S. Lange, I. S. Lee, P. Lewis, Y. Li, L. Li Gioi, J. Libby, D. Liventsev, P. Lukin, M. Masuda, D. Matvienko, K. Miyabayashi, H. Miyata, R. Mizuk, G. B. Mohanty. 2015-09-03. First model-independent Dalitz analysis of $B^0 \to DK^{*0}$, $D\to K_S^0\pi^+\pi^-$ decay. https://doi.org/10.1093/ptep/ptw030
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