K→ππand a light scalar meson

We explore the $\ensuremath{\Delta}I=\frac{1}{2}$ rule and ${\ensuremath{\epsilon}}^{\ensuremath{'}}/\ensuremath{\epsilon}$ in $\stackrel{\ensuremath{\rightarrow}}{K}\ensuremath{\pi}\ensuremath{\pi}$ transitions using a Dyson-Schwinger equation model. Exploiting the feature that quantum chromodynamics penguin operators direct ${K}_{S}^{0}$ transitions through ${0}^{++}$ intermediate states, we observe an enhancement of $\stackrel{\ensuremath{\rightarrow}}{K}\ensuremath{\pi}{\ensuremath{\pi}}_{I=0}$ transitions from the contribution of a putative light $\ensuremath{\sigma}$-meson. This mechanism also affects ${\ensuremath{\epsilon}}^{\ensuremath{'}}/\ensuremath{\epsilon}.$