Measurement of cos 2 β in B 0 → D ( * ) h 0 with D → K S 0 π + π − decays by a combined time-dependent Dalitz plot analysis of BaBar and Belle data

Adachi, I.; Adye, T.; Ahmed, H.; Ahn, J. K.; Aihara, H.; Akar, S.; Alam, M. S.; Albert, J.; Anulli, F.; Arnaud, N.; Asner, D. M.; Aston, D.; Atmacan, H.; Aushev, T.; Ayad, R.; Badhrees, I.; Bakich, A. M.; Banerjee, Sw.; Bansal, V.; Barlow, R. J.; Batignani, G.; Beaulieu, A.; Behera, P.; Bellis, M.; Ben-Haim, E.; Bernard, D.; Bernlochner, F. U.; Bettarini, S.; Bettoni, D.; Bevan, A. J.; Bhardwaj, V.; Bhuyan, B.; Bianchi, F.; Biasini, M.; Biswal, J.; Blinov, V. E.; Bomben, M.; Bondar, A.; Bonneaud, G. R.; Bozek, A.; Bozzi, C.; Bračko, M.; Browder, T. E.; Brown, D. N.; Brown, D. N.; Bünger, C.; Burchat, P. R.; Buzykaev, A. R.; Calabrese, R.; Calcaterra, A.; Calderini, G.; Di Carlo, S.; Carpinelli, M.; Cartaro, C.; Casarosa, G.; Cenci, R.; Chao, D. S.; Chauveau, J.; Cheaib, R.; Chen, A.; Chen, C.; Cheng, C. H.; Cheon, B. G.; Chilikin, K.; Cho, K.; Choi, Y.; Choudhury, S.; Chrzaszcz, M.; Cibinetto, G.; Cinabro, D.; Cochran, J.; Coleman, J. P.; Convery, M. 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T.; Heß, M.; Hirose, S.; Hitlin, D. G.; Honscheid, K.; Hou, W. -S.; Huard, Z.; Van Hulse, C.; Hutchcroft, D. E.; Inami, K.; Inguglia, G.; Innes, W. R.; Ishikawa, A.; Itoh, R.; Iwasaki, M.; Iwasaki, Y.; Izen, J. M.; Jacobs, W. W.; Jawahery, A.; Jessop, C. P.; Jia, S.; Jin, Y.; Joo, K. K.; Julius, T.; Kaliyar, A. B.; Kang, K. H.; Karyan, G.; Kass, R.; Kichimi, H.; Kim, D. Y.; Kim, J. B.; Kim, K. T.; Kim, S. H.; Kim, J.; Kim, P.; King, G. J.; Kinoshita, K.; Koch, H.; Kodyš, P.; Kolomensky, Yu. G.; Korpar, S.; Kotchetkov, D.; Kowalewski, R.; Kravchenko, E. A.; Križan, P.; Kroeger, R.; Krokovny, P.; Kuhr, T.; Kulasiri, R.; Kuzmin, A.; Kwon, Y. -J.; Lacker, H. M.; Lafferty, G. D.; Lanceri, L.; Lange, J. S.; Lange, D. J.; Lankford, A. J.; Latham, T. E.; Leddig, T.; Le Diberder, F.; Lee, I. S.; Lee, S. C.; Lees, J. P.; Leith, D. W. G. S.; Li, L. K.; Li, Y. B.; Li, Y.; Libby, J.; Liventsev, D.; Lockman, W. S.; Long, O.; LoSecco, J. M.; Lou, X. 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doi:10.1103/PhysRevD.98.112012

Title: Measurement of $\cos 2 β$ in $B^{0} \to D^{()} h^{0}$ with $D \to K_{S}^{0} π^{+} π^{-}$ decays by a combined time-dependent Dalitz plot analysis of BaBar* and Belle data

Journal Article · Wed Dec 26 00:00:00 EST 2018 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.98.112012· OSTI ID:1488883

Adachi, I.; Adye, T.; Ahmed, H.; Ahn, J. K.; Aihara, H.; Akar, S.; Alam, M. S.; Albert, J.; Anulli, F.; Arnaud, N.; Asner, D. M.; Aston, D.; Atmacan, H.; Aushev, T.; Ayad, R.; Badhrees, I.; Bakich, A. M.; Banerjee, Sw.; Bansal, V.; Barlow, R. J. more »

We report measurements of $\sin 2 β$ and $\cos 2 β$ using a time-dependent Dalitz plot analysis of $B^{0} \to D^{(*)} h^{0}$ with $D \to K_{S}^{0} π^{+} π^{-}$ decays, where the light unflavored and neutral hadron $h^{0}$ is a $π^{0}$ , $η$ , or $ω$ meson. The analysis uses a combination of the final data sets of the BaBar and Belle experiments containing $471 \times 10^{6}$ and $772 \times 10^{6} B \bar{B}$ pairs collected at the $Υ (4 S)$ resonance at the asymmetric-energy $B$ factories PEP-II at SLAC and KEKB at KEK, respectively. We measure $\sin 2 β = 0.80 \pm 0.14 (stat) \pm 0.06 (syst) \pm 0.03 (model)$ and $\cos 2 β = 0.91 \pm 0.22 (stat) \pm 0.09 (syst) \pm 0.07 (model)$ . The result for the direct measurement of the angle is $β = (22.5 \pm 4.4 (stat) \pm 1.2 (syst) \pm 0.6 (model)) °$ . The last quoted uncertainties are due to the composition of the $D^{0} \to K_{S}^{0} π^{+} π^{-}$ decay amplitude model, which is newly established by a Dalitz plot amplitude analysis of a high-statistics $e^{+} e^{-} \to c \bar{c}$ data sample as part of this analysis. We find the first evidence for $\cos 2 β > 0$ at the level of 3.7 standard deviations. The measurement excludes the trigonometric multifold solution $π / 2 - β = (68.1 \pm 0.7) °$ at the level of 7.3 standard deviations and therefore resolves an ambiguity in the determination of the apex of the CKM Unitarity Triangle. The hypothesis of $β = 0 °$ is ruled out at the level of 5.1 standard deviations, and thus $C P$ violation is observed in $B^{0} \to D^{(*)} h^{0}$ decays. The measurement assumes no direct $C P$ violation in $B^{0} \to D^{(*)} h^{0}$ decays.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Pacific Northwest National Laboratory (PNNL), Richland, WA (United States); Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); KEK - High Energy Accelerator Research Organization; Ministry of Education, Culture, Sports, Science and Technology; National Science Foundation (NSF)

Contributing Organization:: BaBar Collaboration; Belle Collaboration; BABAR Collaboration

Grant/Contract Number:: SC0012704; AC02-05CH11231; AC05-76RL01830; P 26794-N20; 10575109; 10775142; 10875115; 11175187; 11475187; 11521505; 11575017; LTT17020; 2014R1A2A2A01005286; 2015R1A2A2A01003280; 2015H1A2A1033649; 2016R1D1A1B01010135; 2016K1A3A7A09005603; 2016R1D1A1B02012900; SC0009973

OSTI ID:: 1488883

Alternate ID(s):: OSTI ID: 1491124; OSTI ID: 1550845; OSTI ID: 1557861; OSTI ID: 1593882

Report Number(s):: BNL-210863-2019-JAAM; PRVDAQ; 112012

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 98 Journal Issue: 11; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 15 works

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Title: Measurement of $\cos 2 β$ in $B^{0} \to D^{()} h^{0}$ with $D \to K_{S}^{0} π^{+} π^{-}$ decays by a combined time-dependent Dalitz plot analysis of BaBar* and Belle data