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ISSN - 15507998, Physical Review D - Particles, Fields, Gravitation and Cosmology, 2003, vol. 70, p. 072003-1

Measurement of φ<inf>3</inf> with Dalitz plot analysis of B <sup>±</sup> → D<sup>(*)</sup>K<sup>±</sup> decay

Poluektov A., Abe K., Abe T., Aihara H., Asano Y., Aushev T., Aziz T., Bahinipati S., Bakich A. M., Bedny I., Bitenc U., Bizjak I., Blyth S., Bondar A., Bozek A., Bračko M., Brodzicka J., Browder T. E., Chang P., Chao Y., Cheon B. G., Chistov R., Choi S. K., Choi Y., Chuvikov A., Danilov M., Dash M., Dong L. Y., Eidelman S., Eiges V., Enari Y., Fratina S., Gabyshev N., Garmash A., Gershon T., Gokhroo G., Golob B., Guo R., Haba J., Hara T., Hayasaka K., Hayashii H., Hazumi M., Higuchi T., Hinz L., Hokuue T., Hoshi Y., Hou W. S., Hsiung Y. B., Imoto A., Inami K., Ishikawa A., Itoh R., Iwasaki H., Iwasaki M., Kang J. H., Kang J. S., Kataoka S. U., Katayama N., Kawai H., Kawasaki T., Khan H. R., Kim H. J., Kim J. H., Kim S. K., Kinoshita K., Koppenburg P., Korpar S., Križan P., Krokovny P., Kuzmin A., Kwon Y. J., Lee S. H., Lesiak T., Li J., Lin S. W., MacNaughton J., Mandl F., Marlow D., Matsumoto T., Matyja A., Mitaroff W., Miyabayashi K., Miyata H., Mizuk R., Mori T., Nagamine T., Nagasaka Y., Nakadaira T., Nakao M., Nakazawa H., Natkaniec Z., Nishida S., Nitoh O., Nozaki T., Ogawa S.

We present a measurement of the unitarity triangle angle φ<inf>3</inf> using a Dalitz plot analysis of the three-body decay of the neutral D meson from the B<sup>±</sup> → D<sup>(*)</sup>K<sup>±</sup> process. The method employs the interference between D<sup>0</sup> and D̄<sup>0</sup> to extract both the weak and strong phases. We apply this method to a 140 fb<sup>-1</sup> data sample collected by the Belle experiment. The analysis uses the modes B<sup>±</sup> → DK<sup>±</sup> and B<sup>±</sup> → D*K<sup>±</sup>, D* → Dπ<sup>0</sup>, where the neutral D meson decays into K<inf>S</inf>π <sup>+</sup> π<sup>-</sup>. We obtain 146 signal candidates for B <sup>±</sup> → DK<sup>±</sup> and 39 candidates for B <sup>±</sup> → D*K<sup>±</sup>. From a combined maximum likelihood fit to the B<sup>±</sup> → DK<sup>±</sup> and B<sup>±</sup> → D*K<sup>±</sup> modes, we obtain φ<inf>3</inf> = 77° <inf>-19°</inf><sup>+17°</sup> (stat) ± 13°(syst) ± 11°(model). The corresponding 2 standard deviation interval is 26° < φ<inf>3</inf> < 126°.