  Two of the outstanding discrepancies between weak interaction phenomenology
and the standard model come in the large size of the $\Delta I={1\over 2}$
enhancement in $K$ decays and in the small value of the $B$ semileptonic
branching ratio. We argue that these discrepancies are naturally explained by
chromomagnetic dipole operators arising from new physics at the TeV scale.
These operators are closely connected to diagrams which contribute to the quark
mass matrix, and we show how the proper enhancement of the hadronic decays of
$s$ and $b$ quarks can be linked to generation of particular
Cabbibo-Kobayaski-Maskawa mixing angles or quark masses. We confirm our
model-independent analysis with detailed consideration of supersymmetric models
and of technicolor models with techniscalars. This picture has additional
phenomenological predictions for the $B$ system: The branching ratio of
charmless nonleptonic $B$ decays should be of order 20\%, due to a large rate
for $b\to sg$, while there are no dangerous new contributions to $b\rightarrow
s \gamma$. Sizable contributions to $b \to d \gamma$ are a common feature of
models incorporating this mechanism. In techniscalar models the $Z b \bar b$
coupling is enhanced, in association with sizable contributions to $b \to s
\mu^+ \mu^-$.
