Testing QCDF with phase determinations in B → Kπ,Kρ, and K⁎π decays

The success of QCD Factorization(QCDF) in predicting branching ratios for charmless B decays to light pseudo scalar and vector mesons and the small CP asymmetries measured at BaBar, Belle and LHCb show that the phase in these decays, as predicted by QCDF, are not large. For a precise test of QCDF one needs to extract from the measured decay rates, the phase in the interference terms between the I=3/2 tree and I=1/2 penguin amplitude. This is similar to the extraction of the final-state interaction phases in the interference term between pp‾→J/Ψ→e+e− and pp‾→e+e− and in J/Ψ→0−0− done previously. In this talk, I would like to present a determination of the phase between the I=3/2 tree and I=1/2 penguin amplitudes in B→Kπ,Kρ, and K⁎π decays obtained in a recent work using the measured decay rates and the QCDF for the I=3/2 tree amplitude. It is remarkable that the phase extracted from experiments differs only slightly from the QCDF values. This shows that there is no large final-state interaction strong phase in B→Kπ,Kρ, and K⁎π decays.