Measurement of two body B meson decays to pions and kaons with the CLEO III detector

We have measured the branching ratios of the decays of B mesons to pseudoscalar kaons and pions using data from the CLEO III detector. We combine our results with the CLEO II measurement and find the branching ratios for the decays BR(B0 → K+π−) = $18.0+2.3+1.2-2.1-0.9$ × 10−6, BR(B + → K+π0) = $12.9+2.4+1.2-2.2-1.1$ × 10−6, BR(B + → K0π+) = $18.8+3.7+2.1-3.3-1.8$ × 10−6, BR(B 0 → K0π0) = $12.8+4.0+1.7-3.3-1.4$ × 10−6, and BR( B0 → π+π−) = $4.5+1.4+0.5-1.2-0.4$ × 10−6, BR(B 0 → π+π0) = $4.6+1.8+0.6-1.6-0.7$ × 10−6, where the first error is statistical and the second is systematic. We set limits on the branching ratios BR(B0 → π0π 0) < 4.4 × 10−6, BR( B0 → K+ K−) < 0.8 × 10−6, BR(B+ → K +K¯0) < 3.3 × 10 −6, and BR(B0 → K0K¯0) < 3.3 × 10−6 at the 90% confidence level.; We also discuss the possibility of constraining the (ρ, η) plane from the measurement of these branching ratios.