A simple Solution to the Strong CP Problem

We propose a minimal modification of the standard model, remarkable in its simplicity, which may solve the strong CP problem. It employs three Higgs doublets with interactions taken to be invariant under a flavor symmetry. Both CP and the flavor symmetry are softly broken by Higgs boson mass terms. In tree approximation, quark mass matrices are triangular and arg det M vanishes, Radiative corrections yield a tiny and tolerable value of theta-bar.