Effective Weak Non-Ieptonic Hamiltonians for Flavour Changing Processes

Abstract

We present a complete analysis of the W mediated effective weak non-leptonic theory for s, c, b and t flavour changing processes. Calculations are based upon the standard model with n generations. The theory is developed using a matrix formalism which leads to compact theoretical results and a simpler numerical analysis. In our analysis we take account of scheme and effective theory dependence of the QCD parameters. Explicit numerical calculations are performed for effective weak non-leptonic Hamiltonians describing s, c, band t decay, in both the penguin free and penguin generating sectors of the theory, for the modified minimal subtraction (ms) scheme and IX = 0 gauge. Our approach is to display the calculations as a detailed application of the Appelquist-Carazzone decoupling theorem incorporating some of the latest theoretical developments in this area.