First measurement of the CKM angle $\phi_3$ with $B^{\pm}\to D(K_{\rm S}^0\pi^+\pi^-\pi^0)K^{\pm}$ decays

Belle Collaboration, Resmi P. K.,Libby J.,Trabelsi K.,Adachi I., Aihara H.,Said S. Al,Asner D. M.,Aulchenko V.,Aushev T.,Babu V., Badhrees I.,Bakich A. M., Beleño C., Bennett J.,Bhardwaj V.,Bhuyan B.,Bilka T., Biswal J., Bozek A., Bračko M.,Campajola M., Červenkov D.,Chen A., Cheon B. G., Cho H. E., Cho K.,Choi Y., Choudhury S.,Cinabro D.,Cunliffe S., Dash N.,De Nardo G.,Di Capua F.,Di Carlo S., Doležal Z., Dong T. V., Eidelman S.,Epifanov D., Fast J. E.,Ferber T., Fulsom B. G., Garg R., Gaur V., Gabyshev N., Garmash A., Giri A., Goldenzweig P., Golob B.,Guan Y., Hayasaka K., Hayashii H.,Hou W. -S., Huang K., Iijima T., Inami K., Inguglia G.,Ishikawa A., Itoh R.,Iwasaki M., Iwasaki Y.,Jacobs W. W., Jeon H. B.,Jin Y., Joffe D.,Kaliyar A. B.,Kang K. H., Karyan G.,Kawasaki T., Kiesling C.,Kim D. Y.,Kim K. T.,Kim S. H.,Kinoshita K., Kodyš P., Kotchetkov D., Križan P.,Kroeger R., Krokovny P.,Kuhr T.,Kumar R.,Kuzmin A.,Kwon Y. -J.,Lee S. C., Li Y. B., Lieret K., Liventsev D., Lu P. -C., Luo T., MacQueen C., Masuda M., Matsuda T.,Matvienko D.,Merola M., Miyabayashi K., Mizuk R., Mohanty G. B.,Moon H. K., Nakano T., Nakao M., Nath K. J.,Nayak M., Niiyama M., Nisar N. K.,Nishida S., Nishimura K., Ogawa S., Ono H., Onuki Y.,Pakhlov P., Pakhlova G., Pal B., Pardi S.,Park H.,Pedlar T. K., Pestotnik R., Piilonen L. E., Prencipe E., Prim M. T.,Ritter M., Röhrken M.,Russo G.,Sahoo D., Sakai Y.,Sandilya S., Santelj L., Sanuki T., Savinov V.,Schneider O., Schnell G., Schwanda C., Schwartz A. J., Seino Y., Senyo K.,Sevior M. E., Shebalin V., Shen C. P., Shiu J. -G., Shwartz B.,Solovieva E., Starič M., Stottler Z. S.,Strube J. F., Sumiyoshi T.,Takizawa M.,Tamponi U.,Tanida K.,Tenchini F., Uchida M., Uglov T., Uno S., Usov Y.,Van Tonder R., Varner G.,Vinokurova A.,Vorobyev V.,Vossen A.,Wang B., Wang C. H., Wang M. -Z., Wang X. L., Watanuki S., Won E., Yang S. B., Ye H., Zhang Z. P., Zhilich V.,Zhukova V.

arxiv（2019）

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摘要

We present the first model-independent measurement of the CKM unitarity triangle angle $\phi_3$ using $B^{\pm}\to D(K_{\rm S}^0\pi^+\pi^-\pi^0)K^{\pm}$ decays, where $D$ indicates either a $D^{0}$ or $\overline{D}^{0}$ meson. Measurements of the strong-phase difference of the $D \to K_{\rm S}^0\pi^+\pi^-\pi^0$ amplitude obtained from CLEO-c data are used as input. This analysis is based on the full Belle data set of $772\times 10^{6}$ $B\overline{B}$ events collected at the $\Upsilon(4S)$ resonance. We obtain $\phi_3 = (5.7~^{+10.2}_{-8.8} \pm 3.5 \pm 5.7)^{\circ}$ and the suppressed amplitude ratio $r_{B} = 0.323 \pm 0.147 \pm 0.023 \pm 0.051$. Here the first uncertainty is statistical, the second is the experimental systematic, and the third is due to the precision of the strong-phase parameters measured from CLEO-c data. The 95% confidence interval on $\phi_3$ is $(-29.7,~109.5)^{\circ}$, which is consistent with the current world average.

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