QCD-based analysis of the weak kaon decays

Abstract

Starting directly from the QCD Lagrangian, effective actions describing weak K-meson decays in different channels have been constructed. To construct effective Lagrangians a bilocal bosonization method, which incorporates the chiral symmetry-breaking mechanism, has been used. The decay rates of K mesons calculated with the derived weak Lagrangians essentially depend on the ``dressing'' mechanism of quarks. This mechanism is generated by the gluonic forces mediated by the two-point gluonic propagators. A reasonable agreement with experiment of calculated decay rates of charged K mesons in leptonic, semileptonic, and the two-pion decay channels has been achieved. The employed parametrization of quark propagators simultaneously gives a correct description of the $\ensuremath{\pi}\ensuremath{-}\ensuremath{\pi}$ dynamics.