Extraction of from two-body hadronic B decays Belle-II Collaboration LHCb Collaboration HFLAV Collaboration Belle Collaboration MILC Collaboration HPQCD Collaboration Belle Collaboration Particle Data Group Fermilab Lattice and MILC Collaborations
Noriaki Kitazawa (Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan); Kyo-suke Masukawa (Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan); Yuki Sakai (Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan)
Abstract We propose a method of extracting the Cabibbo–Kobayashi–Maskawa matrix element from two-body hadronic decay processes of with precisely determined form factors of meson semi-leptonic decays. The amplitude which does not include the effect of hadronic final state interactions can be theoretically evaluated by using factorization and form factors of semi-leptonic B decays. We can obtain all the amplitudes in an isospin relation , including the effect of hadronic final state interactions as well as , using the experimental data of branching fractions of these three processes with a truncation of the states which contribute to the hadronic final state interactions. The extracted value of is . The decay processes of and can also be used in the same way, and the extracted values of are and , respectively. This method becomes possible by virtue of recent precise determinations of the form factors of semi-leptonic B decays. The uncertainties of by this method are expected to be reduced by the results of future B-factory experiments and lattice calculations.