Evidence for direct CP violation in the decay B{sup {+-}{yields}D(*)}K{sup {+-}}, D{yields}K{sub S}{sup 0{pi}+{pi}-} and measurement of the CKM phase {phi}{sub 3}
We present a new measurement of the unitarity triangle angle {phi}{sub 3} using a Dalitz plot analysis of the K{sub S}{sup 0{pi}+{pi}-} decay of the neutral D meson produced in B{sup {+-}{yields}D(*)}K{sup {+-}} decays. The method exploits the interference between D{sup 0} and D{sup 0} to extract the angle {phi}{sub 3}, strong phase {delta}, and the ratio r of suppressed and allowed amplitudes. We apply this method to a 605 fb{sup -1} data sample collected by the Belle experiment. The analysis uses three decays: B{sup {+-}{yields}D}K{sup {+-}}, and B{sup {+-}{yields}D}*K{sup {+-}}with D*{yields}D{pi}{sup 0} and D*{yields}D{gamma}, as well as the corresponding charge-conjugate modes. From a combined maximum likelihood fit to the three modes, we obtain {phi}{sub 3}=78.4 deg. (+10.8 deg./-11.6 deg.){+-}3.6 deg. (syst){+-}8.9 deg. (model). CP conservation in this process is ruled out at the confidence level (1-CL)=5x10{sup -4}, or 3.5 standard deviations.