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Publication# First measurement of the CKM angle phi(3) with B-+/--> D(K-S(0)pi(+)pi(-)pi(0)) K-+/- decays

Olivier Schneider, Yiming Li, Mingkui Wang, Chao Wang, Sun Hee Kim, Donghyun Kim, Xiao Wang, Lei Li

2019

Journal paper

2019

Journal paper

Abstract

We present the first model-independent measurement of the CKM unitarity triangle angle phi(3) using B-+/--> D(K-S(0)pi(+)pi(-)pi(0)) K-+/- decays, where D indicates either a D-0 or (D) over bar (0) meson. Measurements of the strong-phase difference of the D -> K-S(0)pi(+)pi(-)pi(0) amplitude obtained from CLEO-c data are used as input. This analysis is based on the full Belle data set of 772 x 10(6)B (B) over bar events collected at the gamma(4S) resonance. We obtain phi(3) = (5.7(-8.8)(+10.2)+/- 3.5 +/- 5.7)(degrees) 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 phi(3) is (-29.7, 109.5)(degrees), which is consistent with the current world average.

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Related concepts (1)

Confidence interval

In frequentist statistics, a confidence interval (CI) is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level; the 95% confidence level is most common, but other levels, such as 90% or 99%, are sometimes used. The confidence level, degree of confidence or confidence coefficient represents the long-run proportion of CIs (at the given confidence level) that theoretically contain the true value of the parameter; this is tantamount to the nominal coverage probability.