  Physics beyond the Standard Model, realized above the electroweak scale, can
be incorporated in a model independent way in the Wilson coefficients of higher
dimensional gauge invariant operators. In these proceedings we review the
matching of the $SU(3)_C\times SU(2)_L\times U(1)_Y$ gauge invariant
dimension-six operators on the effective Hamiltonian governing $b\to s$ and
$b\to c$ transitions, including the leading 1-loop effects.
