First measurement of the CKM angle ϕ 3 with B ± → D( K S 0 $$ {K}_{\mathrm{S}}^0 $$ π + π − π 0) K ± decays

Abstract We present the first model-independent measurement of the CKM unitarity triangle angle ϕ 3 using B ± → D( K S 0 $$ {K}_{\mathrm{S}}^0 $$ π + π − π 0) K ± decays, where D indicates either a D 0 or D ¯ $$ \overline{D} $$ 0 meson. Measurements of the strong-phase difference of the D → K S 0 $$ {K}_{\mathrm{S}}^0 $$ π + π − π 0 amplitude obtained from CLEO-c data are used as input. This analysis is based on the full Belle data set of 772 × 106 B B ¯ $$ \overline{B} $$ events collected at the Υ(4S) resonance. We obtain ϕ 3 = ( 5.7 − 8.8 + 10.2 $$ {5.7}_{-8.8}^{+10.2} $$ ±3.5±5.7) ° and the suppressed amplitude ratio r B = 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 ϕ 3 is (−29.7, 109.5) °, which is consistent with the current world average.

Abstract licence: CC BY

A person counts once a day per paper. We keep no cookie and no address: a reader is a hash that changes every day. Any month under five reads shows no number.