We present the first measurement of the angle φ<inf>3</inf> of the unitarity triangle using a model-independent Dalitz plot analysis of B <sup>±</sup>→DK<sup>±</sup>, D→KS0π<sup>+</sup>π <sup>-</sup> decays. The method uses, as input, measurements of the strong phase of the D→KS0π<sup>+</sup>π<sup>-</sup> amplitude from the CLEO Collaboration. The result is based on the full data set of 772×106 BB̄ pairs collected by the Belle experiment at the Υ(4S) resonance. We obtain φ<inf>3</inf>=(77.3-14.9+15.1±4.1±4.3)° and the suppressed amplitude ratio r<inf>B</inf>=0.145±0.030±0. 010±0.011. Here the first error is statistical, the second is the experimental systematic uncertainty, and the third is the error due to the precision of the strong-phase parameters obtained by CLEO.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 2012 Jun 26|
ASJC Scopus subject areas
- Nuclear and High Energy Physics