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arXiv · 1502.07550

Measurement of the amplitude ratio of $B^0 \to D^0K^{*0}$ and $B^0 \to \bar{D^0}K^{*0}$ decays with a model-independent Dalitz plot analysis using $D\to K_S^0\pi^+\pi^-$ decays

A. Abdesselam·I. Adachi·K. Adamczyk·H. Aihara·S. Al Said·K. Arinstein·Y. Arita·D. M. Asner·T. Aso·V. Aulchenko·T. Aushev·R. Ayad·T. Aziz·V. Babu·I. Badhrees·S. Bahinipati·A. M. Bakich·A. Bala·Y. Ban·V. Bansal·E. Barberio·M. Barrett·W. Bartel·A. Bay·I. Bedny·P. Behera·M. Belhorn·K. Belous·V. Bhardwaj·B. Bhuyan·M. Bischofberger·S. Blyth·A. Bobrov·A. Bondar·G. Bonvicini·C. Bookwalter·A. Bozek·M. Bračko·J. Brodzicka·T. E. Browder·D. Červenkov·M. -C. Chang·P. Chang·Y. Chao·V. Chekelian·A. Chen·K. -F. Chen·P. Chen·B. G. Cheon·K. Chilikin·R. Chistov·K. Cho·V. Chobanova·S. -K. Choi·Y. Choi·D. Cinabro·J. Crnkovic·J. Dalseno·M. Danilov·S. Di Carlo·J. Dingfelder·Z. Doležal·Z. Drásal·A. Drutskoy·S. Dubey·D. Dutta·K. Dutta·S. Eidelman·D. Epifanov·S. Esen·H. Farhat·J. E. Fast·M. Feindt·T. Ferber·A. Frey·O. Frost·M. Fujikawa·B. G. Fulsom·V. Gaur·N. Gabyshev·S. Ganguly·A. Garmash·D. Getzkow·R. Gillard·F. Giordano·R. Glattauer·Y. M. Goh·B. Golob·M. Grosse Perdekamp·J. Grygier·O. Grzymkowska·H. Guo·J. Haba·P. Hamer·Y. L. Han·K. Hara·T. Hara·Y. Hasegawa·J. Hasenbusch·K. Hayasaka
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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 model-independent Dalitz plot analysis using $D\to K_S^0\pi^+\pi^-$ decays. Using the full data sample of $772\times10^6$ $B\bar{B}$ pairs collected at the $\Upsilon(4S)$ resonance with the Belle detector at KEKB accelerator the upper limit is $r_S < 0.87$ at the 68 % confidence level. This result is the first measurement of $r_S$ with a model-independent Dalitz analysis, and is consistent with results from other analyses. The value of $r_S$ indicates the sensitivity of the decay to $\phi_3$ because the statistical uncertainty is proportional to $1/r_S$. The $r_S$ result is obtained from observables ($x_\pm$, $y_\pm$) \begin{eqnarray} 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 \\ y_+ &=& +0.3 ^{+0.5 +0.0}_{-0.8 -0.1} \pm0.1 \\ , \end{eqnarray} where $x_\pm = r_S \cos(\delta_S \pm \phi_3)$, $y_\pm = r_S \sin(\delta_S \pm \phi_3)$ and $\phi_3 (\delta_S)$ are the weak (strong) phase difference between $B^0 \to D^0K^{*0}$ and $B^0 \to \bar{D^0}K^{*0}$. The first uncertainty is statistical, the second is the experimental systematic and the third is the systematic due to the uncertainties on $c_i$ and $s_i$ parameters measured by CLEO.

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A. Abdesselam, I. Adachi, K. Adamczyk, H. Aihara, S. Al Said, K. Arinstein, Y. Arita, D. M. Asner, T. Aso, V. Aulchenko, T. Aushev, R. Ayad, T. Aziz, V. Babu, I. Badhrees, S. Bahinipati, A. M. Bakich, A. Bala, Y. Ban, V. Bansal, E. Barberio, M. Barrett, W. Bartel, A. Bay, I. Bedny, P. Behera, M. Belhorn, K. Belous, V. Bhardwaj, B. Bhuyan, M. Bischofberger, S. Blyth, A. Bobrov, A. Bondar, G. Bonvicini, C. Bookwalter, A. Bozek, M. Bračko, J. Brodzicka, T. E. Browder, D. Červenkov, M. -C. Chang, P. Chang, Y. Chao, V. Chekelian, A. Chen, K. -F. Chen, P. Chen, B. G. Cheon, K. Chilikin, R. Chistov, K. Cho, V. Chobanova, S. -K. Choi, Y. Choi, D. Cinabro, J. Crnkovic, J. Dalseno, M. Danilov, S. Di Carlo, J. Dingfelder, Z. Doležal, Z. Drásal, A. Drutskoy, S. Dubey, D. Dutta, K. Dutta, S. Eidelman, D. Epifanov, S. Esen, H. Farhat, J. E. Fast, M. Feindt, T. Ferber, A. Frey, O. Frost, M. Fujikawa, B. G. Fulsom, V. Gaur, N. Gabyshev, S. Ganguly, A. Garmash, D. Getzkow, R. Gillard, F. Giordano, R. Glattauer, Y. M. Goh, B. Golob, M. Grosse Perdekamp, J. Grygier, O. Grzymkowska, H. Guo, J. Haba, P. Hamer, Y. L. Han, K. Hara, T. Hara, Y. Hasegawa, J. Hasenbusch, K. Hayasaka. 2015-02-26. Measurement of the amplitude ratio of $B^0 \to D^0K^{*0}$ and $B^0 \to \bar{D^0}K^{*0}$ decays with a model-independent Dalitz plot analysis using $D\to K_S^0\pi^+\pi^-$ decays. https://arxiv.org/abs/1502.07550

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