Semileptonic decays in the PQCD approach with the lattice QCD input *

Abstract

Abstract We study the semileptonic decays in the framework of the Standard Model (SM), by employing the perturbative QCD (PQCD) factorization formalism combined with the lattice QCD input for the relevant transition form factors. We calculate the branching ratios with , the ratios of the branching fractions and , and the physical observables , and . The “PQCD+Lattice” predictions for and agree with the available experimental measurements within errors. For the ratios and , the "PQCD+Lattice" predictions agree with the other predictions. For and , our theoretical predictions agree with the measured values within errors. Our theoretical predictions of the semileptonic decays considered could be tested in the near future by the LHCb and Belle II experiments.