Quantumchromodynamic corrections for ΔF=2 processes in the presence of a heavy top quark

We calculate the QCD corrections to the ΔS=2 and ΔB=2 transition amplitudes for the casem _t ?m _w and extrapolate the results tom _t ?m _w , where they join smoothly with the low mass calculations,m _t ?m _w . We present explicit formulas for the corrections with numerical results summarized in tables and figures and compare them with earlier calculations. We arrive at a QCD corrected effective Hamiltonian which must hold for all ranges ofm _t .