First measurement of the CKM angle ϕ3 with B±→ D(%$ {K}_{\mathrm{S}}^0 %$π+π−π0) K± decays

Abstract We present the first model-independent measurement of the CKM unitarity triangle angle ϕ3 using B±→ D(%$ {K}_{\mathrm{S}}^0 %$π+π−π0) K± decays, where D indicates either a D0 or %$ \overline{D} %$0 meson. Measurements of the strong-phase difference of the D →%$ {K}_{\mathrm{S}}^0 %$π+π−π0 a...
Ausführliche Beschreibung

Abstract We present the first model-independent measurement of the CKM unitarity triangle angle ϕ3 using B±→ D(%$ {K}_{\mathrm{S}}^0 %$π+π−π0) K± decays, where D indicates either a D0 or %$ \overline{D} %$0 meson. Measurements of the strong-phase difference of the D →%$ {K}_{\mathrm{S}}^0 %$π+π−π0 amplitude obtained from CLEO-c data are used as input. This analysis is based on the full Belle data set of 772 × $ 10^{6} $B%$ \overline{B} %$ events collected at the Υ(4S) resonance. We obtain ϕ3 = (%$ {5.7}_{-8.8}^{+10.2} %$±3.5±5.7)° and the suppressed amplitude ratio rB = 0.323±0.147±0.023±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 ϕ3 is (−29.7, 109.5)°, which is consistent with the current world average. Ausführliche Beschreibung