First model-independent Dalitz analysis of B⁰ to DK^{*0}, Dto K_S⁰π^+π^- decay

Belle Collaboration: K. Negishi , A. Ishikawa , H. Yamamoto , A. Abdesselam , I. Adachi , H. Aihara , S. Al Said , D. M. Asner

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V. Aulchenko T. Aushev R. Ayad V. Babu I. Badhrees S. Bahinipati A. M. Bakich E. Barberio J. Biswal G. Bonvicini A. Bozek M. Bra\v{c}ko 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. Dole\v{z}al 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. Kody\v{s} S. Korpar P. Kri\v{z}an 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 A. Moll H. K. Moon R. Mussa M. Nakao T. Nanut Z. Natkaniec M. Nayak N. K. Nisar S. Nishida S. Ogawa S. Okuno Y. Onuki P. Pakhlov G. Pakhlova B. Pal C. W. Park H. Park T. K. Pedlar L. Pes\'antez R. Pestotnik M. Petri\v{c} L. E. Piilonen C. Pulvermacher E. Ribe\v{z}l M. Ritter A. Rostomyan Y. Sakai S. Sandilya L. Santelj T. Sanuki Y. Sato V. Savinov O. Schneider G. Schnell C. Schwanda K. Senyo M. E. Sevior V. Shebalin C. P. Shen T.-A. Shibata J.-G. Shiu F. Simon Y.-S. Sohn E. Solovieva S. Stani\v{c} M. Stari\v{c} M. Steder M. Sumihama T. Sumiyoshi U. Tamponi Y. Teramoto M. Uchida Y. Unno S. Uno P. Urquijo C. Van Hulse P. Vanhoefer G. Varner A. Vinokurova A. Vossen M. N. Wagner C. H. Wang M.-Z. Wang P. Wang X. L. Wang M. Watanabe Y. Watanabe S. Wehle K. M. Williams E. Won J. Yamaoka Y. Yamashita S. Yashchenko J. Yelton Y. Yook C. Z. Yuan Y. Yusa Z. P. Zhang V. Zhilich V. Zhulanov A. Zupanc

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classification ✦ hep-ex

keywords deltaanalysisdalitzdecaysfirstmodel-independentamplitudebelle

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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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First model-independent Dalitz analysis of B⁰ to DK^{*0}, Dto K_S⁰π^+π^- decay

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