The experimental consequences of a model that links $\mathrm{CP}$ nonconservation with horizontal interactions and is based on the gauge group $\mathrm{S}{\mathrm{U}}_L^W\mathrm{}\left(2\right)\mathrm{}\otimes \mathrm{S}{\mathrm{U}}_R^H\mathrm{}\left(2\right)\mathrm{}\otimes {\mathrm{U}}^Y\mathrm{}\left(1\right)\mathrm{}$ are investigated. The magnitude of the observed $\mathrm{CP}$ nonconservation and that of the $K_L-K_S$ mass difference constrain the horizontal gauge boson masses ($M_R$) such that $66 \mathrm{TeV}\gtrsim M_{\mathcal{R}}>5\mathrm{} \mathrm{TeV}$. The model implies an extremely small value for $\left|\frac{{\epsilon }^{\prime }}{\epsilon }\right|$. The branching ratio for $K_L\to \mu e(K\to \pi \mu e)$ could be greater than ≈ ${10}^{-10\mathrm{}}$ (≈ ${10}^{-12\mathrm{}}$). ${\Theta }_{\mathrm{QFD}}$ vanishes at the tree level. The contribution from the gauge sector, arising at two loops, is also discussed.

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