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2009•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

Time-dependent amplitude analysis of B0→KS0π+π−

Bernard Aubert, Y. Karyotakis, J. P. Lees, V. Poireau, Elisabetta Prencipe, X. Prudent, V. Tisserand, J. Garra Ticó, E. Graugés, M. Martinelli, ANTIMO PALANO, Marco Pappagallo, G. Eigen, B. Stugu, L. Sun, M. Battaglia, David N. Brown, Leroy T. Kerth, Yu. G. Kolomensky, G. Lynch, I. L. Osipenkov, Kerstin Tackmann, T. Tanabe, C. M. Hawkes, N. Soni, A. T. Watson, H. Koch, T. Vazquez Schroeder, D. J. Asgeirsson, B. G. Fulsom, Christopher Hearty, T. S. Mattison, J. A. McKenna, Matthew J. Barrett, A. Khan, A. Randle-Conde, V. E. Blinov, A. D. Bukin, А. Р. Бузыкаев, В. П. Дружинин, V. B. Golubev, A. P. Onuchin, S. I. Serednyakov, Yu. I. Skovpen, E. P. Solodov, Korneliy Yu. Todyshev, M. Bondioli, S. Curry, Ivo Gough Eschrich, D. Kirkby, A. J. Lankford, P. Lund, Mark A. Mandelkern, E. C. Martin, D. P. Stoker, S. Abachi, C. Buchanan, H. Atmacan, J. William Gary, Fuqiuxuan Liu, O. Long, G. M. Vitug, Zafar Yasin, Licheng Zhang, V. Sharma, C. Campagnari, T. M. Hong, D. Kovalskyi, M. A. Mazur, Jeffrey D. Richman, T. W. Beck, A. M. Eisner, C. A. Heusch, J. Kroseberg, W. S. Lockman, A. J. Martínez, Terry LeRoy Schalk, B. A. Schumm, A. Seiden, L. O. Winstrom, C. H. Cheng, D. A. Doll, B. Echenard, F. Fang, David G. Hitlin, I. Narsky, T. Piatenko, Frank C. Porter, R. Andreassen, Giampiero Mancinelli, James Vincent Mead, K. Mishra, M. D. Sokoloff, P. C. Bloom, W. T. Ford, Alessandro Gaz, J. F. Hirschauer, Martin Nagel, U. Nauenberg, J. G. Smith, S. R. Wagner, Rachid Ayad, Abner Soffer, W. H. Toki, R. J. Wilson, E. Feltresi, A. Hauke, H. Jasper, T. M. Karbach, J. Merkel, Andreas Petzold, B. Spaan, K. Wacker, M. J. Kobel, R. Nogowski, K. R. Schubert, R. Schwierz, A. Volk, D. Bernard, G. R. Bonneaud, E. Latour, M. Verderi, Philip J. Clark, S. Playfer, J. E. Watson, M. Andreotti, D. Bettoni, C. Bozzi, R. Calabrese, A. Cecchi, G. Cibinetto, E. Fioravanti, P. Franchini, E. Luppi, Marcelo Salles Munerato, Matteo Negrini, Antonio Petrella, L. Piemontese, Valentina Santoro, R. Baldini-Ferroli, Alessandro Calcaterra, Riccardo de Sangro, G. Finocchiaro, S. Pacetti, P. Patteri, I. M. Peruzzi, Marcello Piccolo, M. Rama, A. Zallo, R. Contri, E. Guido, M. Lo Vetere, M. R. Monge, S. Passaggio, Claudia Patrignani, Enrico Robutti, S. Tosi, K. S. Chaisanguanthum, M.M. Morii, A. Adametz, J. Marks, S. Schenk, U. Uwer, F. U. Bernlochner, Verena Klose, H. M. Lacker, D. J. Bard, P. D. Dauncey, M. J. Tibbetts, P. K. Behera, M. Charles, Usha Mallik, J. Cochran, H. B. Crawley, L. Y. Dong, V. Eyges, W. T. Meyer, S. Prell, E. I. Rosenberg, A. E. Rubin, Y. Y. Gao, Andrei V. Gritsan, Z. J. Guo, N. Arnaud, J. Béquilleux, A. D’Orazio, M. Davier, Д. Деркач, J. Firmino da Costa, G. Grosdidier, F. Le Diberder, Vincent Lepeltier, A. M. Lutz, B. Malaescu, Sandrine Pruvot, Patrick Roudeau, M. H. Schune, J. Serrano, V. Sordini, A. Stocchi, Guy Henri Maurice Wormser, David J Lange, Douglas M. Wright, I. Bingham, James P. Burke, C. A. Chavez, J. R. Fry, E. Gabathuler, R. Gamet, D. Hutchcroft, D. J. Payne, Christos Touramanis, Adrian John Bevan, C. Clarke, Francesca Di Lodovico, R. Sacco, M. Sigamani, G. Cowan, S. Paramesvaran, A. C. Wren, D. N. Brown, C. L. Davis, A. G. Denig, M. Fritsch, W. Gradl, A. Hafner, K. E. Alwyn, D. Bailey, Roger John Barlow, G. Jackson, George D. Lafferty, Thomas J. West, J. I. Yi, J. Anderson, C. Chen, A. Jawahery, D. A. Roberts, Gabriele Simi, J. M. Tuggle, Carlo Dallapiccola, E. Salvati, S. Saremi, R. Cowan, D. Dujmic, P.H. Fisher, S. W. Henderson, G. Sciolla, M. Spitznagel, R. K. Yamamoto, Maqiang Zhao, P. M. Patel, Steven H Robertson, M. Schram, A. Lazzaro, V. Lombardo, F. Palombo, Simone Stracka, J. M. Bauer, L. Cremaldi, R. Godang, R. S. Kroeger, D. J. Summers, H. W. Zhao, M. Simard, P. Taras, Howard W. Nicholson, G. De Nardo, L. Lista, D. Monorchio, G. Onorato, C. Sciacca, Gerhard Raven, H. L. Snoek, C. P. Jessop, K. J. Knoepfel, J. M. LoSecco, W. F. Wang, L. A. Corwin, K. Honscheid, H. Kagan, R. Kass, James P. Morris, A. M. Rahimi, J. J. Regensburger, S. J. Sekula, Q. K. Wong, N. L. Blount, J. Brau, R. E. Frey, O. Igonkina, J. A. Kolb, Ming‐Hui Lu, R. Rahmat, N. B. Sinev, Danielle Strom, J. Strube, E. Torrence, G. Castelli, N. Gagliardi, M. Margoni, M. Morandin, M. Posocco, M. Rotondo, F. Simonetto, Roberto Stroili, C. Voci, P. del Amo Sanchez, E. Ben-Haim, H. Briand, J. Chauveau, O. Hamon, Ph. Leruste, G. Marchiori, J. Ocariz, A. Pérez, J. Prendki, S. Sitt, L. Gladney, M. Biasini, E. Manoni, C. Angelini, G. Batignani, S. Bettarini, G. Calderini, M. Carpinelli, A. Cervelli, F. Forti, M. A. Giorgi, A. Lusiani, M. Morganti, N. Néri, Eugenio Paoloni, Giuliana Rizzo, J. Walsh, D. Lopes Pegna, C. Lu, Joy Olsen, A. J. S. Smith, A. V. Telnov, F. Anulli, E. Baracchini, G. Cavoto, R. Faccini, F. Ferrarotto, F. Ferroni, M. Gaspero, P. Jackson, L. Li Gioi, M. A. Mazzoni, S. Morganti, G. Piredda, F. Renga, Cecilia Voena, Marcus Ebert, T. Hartmann, H. Schröder, R. Waldi, T. Adye, B.J. Franek, E. O. Olaiya, F. F. Wilson, S. Emery, L. Esteve, G. Hamel de Monchenault, W. Kozanecki, G. Vasseur, Ch. Yèche, M. Zito, M. Allen, D. A. Aston, R. Bartoldus, J. F. Benitez, R. Cenci, J. P. Coleman, M. R. Convery, J. C. Dingfelder, J. Dorfan, G. P. Dubois-Felsmann, W. Dunwoodie, R. C. Field, A. M. Gabareen, M. T. Graham, P. Grenier, C. Hast, W. R. Innes, J. Kaminski, M.H. Kelsey, H. Kim, P. Kim, M. L. Kocian, D. W. G. S. Leith, Shu Li, B. Lindquist, S. Luitz, V. Luth, H. L. Lynch, David B MacFarlane, H. Marsiske, R. Messner, D. R. Müller, H. Neal, S. Nelson, C. P. O’Grady, I. Ofte, M. Perl, B. N. Ratcliff, Aaron J. Roodman, A. A. Salnikov, R. H. Schindler, Jochen Schwiening, A. Snyder, D. Su, M. K. Sullivan, K. Suzuki, S. K. Swain, J. M. Thompson, J. Va’vra, A. P. Wagner, M. Weaver, C. A. West, W. J. Wisniewski, M. Wittgen, D. H. Wright, H. W. Wulsin, A. K. Yarritu, K. Yi, C. C. Young, V. Ziegler, X. R. Chen, Hong-Bang Liu, W. Park, M. V. Purohit, R. M. White, J. R. Wilson, P. R. Burchat, A. J. Edwards, T. S. Miyashita, S. Ahmed, M. S. Alam, J. A. Ernst, B. Pan, M. A. Saeed, S. B. Zain, S. M. Spanier, B. J. Wogsland, R. Eckmann, J. L. Ritchie, A. M. Ruland, C. J. Schilling, R. F. Schwitters, B. C. Wray, B. W. Drummond, J. M. Izen, X. C. Lou, F. Bianchi, D. Gamba, M. Pelliccioni, M. Bomben, L. Bosisio, C. Cartaro, G. Della Ricca, L. Lanceri, Lorenzo G. Vitale, V. Azzolini, N. López-March, F. Martínez-Vidal, D. A. Milanés, A. Oyanguren, Justin E Albert, Sw. Banerjee, B. Bhuyan, H. H. F. Choi, K. Hamano, G. J. King, R. Kowalewski, M. J. Lewczuk, I. M. Nugent, J. Michael Roney, R. J. Sobie, T. J. Gershon, P. F. Harrison, J. Ilić, T. Latham, G. B. Mohanty, E. M. T. Puccio, H. R. Band, X. Chen, S. Dasu, K. T. Flood, Y. Pan, R. Prepost, C. Vuosalo, Sau Lan Wu

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Abstract

We perform a time-dependent amplitude analysis of ${B}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ decays to extract the $CP$ violation parameters of ${f}_{0}(980){K}_{S}^{0}$ and ${\ensuremath{\rho}}^{0}(770){K}_{S}^{0}$ and the direct $CP$ asymmetry of ${K}^{*+}(892){\ensuremath{\pi}}^{\ensuremath{-}}$. The results are obtained from a data sample of $(383\ifmmode\pm\else\textpm\fi{}3)\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $B\overline{B}$ decays, collected with the BABAR detector at the PEP-II asymmetric--energy $B$ factory at SLAC. We find two solutions, with an equivalent goodness-of-fit. Including systematic and Dalitz plot model uncertainties, the combined confidence interval for values of the $CP$ parameter ${\ensuremath{\beta}}_{\mathrm{eff}}$ in ${B}^{0}$ decays to ${f}_{0}(980){K}_{S}^{0}$ is $18\ifmmode^\circ\else\textdegree\fi{}<{\ensuremath{\beta}}_{\mathrm{eff}}<76\ifmmode^\circ\else\textdegree\fi{}$ at 95% confidence level (C.L). $CP$ conservation in ${B}^{0}$ decays to ${f}_{0}(980){K}_{S}^{0}$ is excluded at 3.5 standard deviations including systematic uncertainties. For ${B}^{0}$ decays to ${\ensuremath{\rho}}^{0}(770){K}_{S}^{0}$, the combined confidence interval is $\ensuremath{-}9\ifmmode^\circ\else\textdegree\fi{}<{\ensuremath{\beta}}_{\mathrm{eff}}<57\ifmmode^\circ\else\textdegree\fi{}$ at 95% C.L. In decays to ${K}^{*+}(892){\ensuremath{\pi}}^{\ensuremath{-}}$ we measure the direct $CP$ asymmetry to be ${A}_{CP}=\ensuremath{-}0.20\ifmmode\pm\else\textpm\fi{}0.10\ifmmode\pm\else\textpm\fi{}0.01\ifmmode\pm\else\textpm\fi{}0.02$. The measured phase difference (including ${B}^{0}{\overline{B}}^{0}$ mixing) between decay amplitudes of ${B}^{0}\ensuremath{\rightarrow}{K}^{*+}(892){\ensuremath{\pi}}^{\ensuremath{-}}$ and ${\overline{B}}^{0}\ensuremath{\rightarrow}{K}^{*\ensuremath{-}}(892){\ensuremath{\pi}}^{+}$, excludes the interval $\ensuremath{-}137\ifmmode^\circ\else\textdegree\fi{}<\ensuremath{\Delta}\ensuremath{\Phi}({K}^{*+}(892){\ensuremath{\pi}}^{\ensuremath{-}})<\ensuremath{-}5\ifmmode^\circ\else\textdegree\fi{}$ at 95% C.L.

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We perform a time-dependent amplitude analysis of ${B}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ decays to extract the $CP$ violation parameters of ${f}_{0}(980){K}_{S}^{0}$ and ${\ensuremath{\rho}}^{0}(770){K}_{S}^{0}$ and the direct $CP$ asymmetry of ${K}^{*+}(892){\ensuremath{\pi}}^{\ensuremath{-}}$. The results are obtained from a data sample of $(383\ifmmode\pm\else\textpm\fi{}3)\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $B\overline{B}$ decays, collected with the BABAR detector at the PEP-II asymmetric--energy $B$ factory at SLAC. We find two solutions, with an equivalent goodness-of-fit. Including systematic and Dalitz plot model uncertainties, the combined confidence interval for values of the $CP$ parameter ${\ensuremath{\beta}}_{\mathrm{eff}}$ in ${B}^{0}$ decays to ${f}_{0}(980){K}_{S}^{0}$ is $18\ifmmode^\circ\else\textdegree\fi{}<{\ensuremath{\beta}}_{\mathrm{eff}}<76\ifmmode^\circ\else\textdegree\fi{}$ at 95% confidence level (C.L). $CP$ conservation in ${B}^{0}$ decays to ${f}_{0}(980){K}_{S}^{0}$ is excluded at 3.5 standard deviations including systematic uncertainties. For ${B}^{0}$ decays to ${\ensuremath{\rho}}^{0}(770){K}_{S}^{0}$, the combined confidence interval is $\ensuremath{-}9\ifmmode^\circ\else\textdegree\fi{}<{\ensuremath{\beta}}_{\mathrm{eff}}<57\ifmmode^\circ\else\textdegree\fi{}$ at 95% C.L. In decays to ${K}^{*+}(892){\ensuremath{\pi}}^{\ensuremath{-}}$ we measure the direct $CP$ asymmetry to be ${A}_{CP}=\ensuremath{-}0.20\ifmmode\pm\else\textpm\fi{}0.10\ifmmode\pm\else\textpm\fi{}0.01\ifmmode\pm\else\textpm\fi{}0.02$. The measured phase difference (including ${B}^{0}{\overline{B}}^{0}$ mixing) between decay amplitudes of ${B}^{0}\ensuremath{\rightarrow}{K}^{*+}(892){\ensuremath{\pi}}^{\ensuremath{-}}$ and ${\overline{B}}^{0}\ensuremath{\rightarrow}{K}^{*\ensuremath{-}}(892){\ensuremath{\pi}}^{+}$, excludes the interval $\ensuremath{-}137\ifmmode^\circ\else\textdegree\fi{}<\ensuremath{\Delta}\ensuremath{\Phi}({K}^{*+}(892){\ensuremath{\pi}}^{\ensuremath{-}})<\ensuremath{-}5\ifmmode^\circ\else\textdegree\fi{}$ at 95% C.L.

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Available abstract

We perform a time-dependent amplitude analysis of ${B}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ decays to extract the $CP$ violation parameters of ${f}_{0}(980){K}_{S}^{0}$ and ${\ensuremath{\rho}}^{0}(770){K}_{S}^{0}$ and the direct $CP$ asymmetry of ${K}^{*+}(892){\ensuremath{\pi}}^{\ensuremath{-}}$. The results are obtained from a data sample of $(383\ifmmode\pm\else\textpm\fi{}3)\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $B\overline{B}$ decays, collected with the BABAR detector at the PEP-II asymmetric--energy $B$ factory at SLAC. We find two solutions, with an equivalent goodness-of-fit. Including systematic and Dalitz plot model uncertainties, the combined confidence interval for values of the $CP$ parameter ${\ensuremath{\beta}}_{\mathrm{eff}}$ in ${B}^{0}$ decays to ${f}_{0}(980){K}_{S}^{0}$ is $18\ifmmode^\circ\else\textdegree\fi{}<{\ensuremath{\beta}}_{\mathrm{eff}}<76\ifmmode^\circ\else\textdegree\fi{}$ at 95% confidence level (C.L). $CP$ conservation in ${B}^{0}$ decays to ${f}_{0}(980){K}_{S}^{0}$ is excluded at 3.5 standard deviations including systematic uncertainties. For ${B}^{0}$ decays to ${\ensuremath{\rho}}^{0}(770){K}_{S}^{0}$, the combined confidence interval is $\ensuremath{-}9\ifmmode^\circ\else\textdegree\fi{}<{\ensuremath{\beta}}_{\mathrm{eff}}<57\ifmmode^\circ\else\textdegree\fi{}$ at 95% C.L. In decays to ${K}^{*+}(892){\ensuremath{\pi}}^{\ensuremath{-}}$ we measure the direct $CP$ asymmetry to be ${A}_{CP}=\ensuremath{-}0.20\ifmmode\pm\else\textpm\fi{}0.10\ifmmode\pm\else\textpm\fi{}0.01\ifmmode\pm\else\textpm\fi{}0.02$. The measured phase difference (including ${B}^{0}{\overline{B}}^{0}$ mixing) between decay amplitudes of ${B}^{0}\ensuremath{\rightarrow}{K}^{*+}(892){\ensuremath{\pi}}^{\ensuremath{-}}$ and ${\overline{B}}^{0}\ensuremath{\rightarrow}{K}^{*\ensuremath{-}}(892){\ensuremath{\pi}}^{+}$, excludes the interval $\ensuremath{-}137\ifmmode^\circ\else\textdegree\fi{}<\ensuremath{\Delta}\ensuremath{\Phi}({K}^{*+}(892){\ensuremath{\pi}}^{\ensuremath{-}})<\ensuremath{-}5\ifmmode^\circ\else\textdegree\fi{}$ at 95% C.L.

Key concepts: Physics, Amplitude, Particle physics, CP violation, Electron–positron annihilation, Analytical Chemistry (journal), Confidence interval, Asymmetry

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Time-dependent amplitude analysis of B0→KS0π+π− — Research Paper | ScholarLens