generated using the normal parton shower and the parton shower including the POWHEG style correction, are shown by the blue dashed and black solid lines respectively. The red dotted lines in Fig. \[fig:top\_parton\] show the distributions obtained when the existing implementation of hard and soft matrix element corrections (MEC) [@Hamilton:2006ms] are applied to the normal  parton shower. Hard matrix element corrections use the full $t \rightarrow W b g$ matrix element to distribute emissions in the dead regions of phase space that are not populated by the parton shower. Soft matrix element corrections use the full real-emission matrix element to correct emissions generated by the parton shower that lie outside the areas of phase space where the parton shower approximation is valid, i.e. away from the soft and collinear limits. Applying these corrections ensures that the hardest emission in the shower is generated according to the exact matrix element, therefore, we expect a high level of agreement between the POWHEG and matrix element corrected distributions. The bottom panel in each plot shows the ratio of the parton shower and matrix element corrected distributions to the POWHEG corrected distribution. In both plots, we include error bars indicating the statistical uncertainty.

As 