QCD CORRECTIONS TO THE WEAK-INTERACTIONS OF MESONS IN THE STATIC CAVITY

Abstract

The effect of QCD loop corrections to the weak interactions of hadrons is studied in a nonperturbative framework in which the matrix elements of the bare effective weak Hamiltonian between hadronic states are computed. The QCD renormalization is carried out in the static cavity, alleviating the scale matching problem of the standard short distance analysis. Specifically, we study the Δl=1/2 rule by computing the QCD corrected K-π matrix elements. The modified static cavity model used is characterized by four parameters; the effective quark-gluon coupling constant, the confinement pressure, the zero-point energy and a parameter governing the center-of-mass corrections. These parameters are fi..