{\rm Tr} (AF^{(2)}AF^{(0)})&=&0 ,\nonumber\\
{\rm Tr} (AF^{(3)}AF^{(0)})&=&0 ,\nonumber\\
{\rm Tr} (AF^{(4)}AF^{(0)})&=&0 ,\nonumber\\
{\rm Tr} (AF^{(5)}AF^{(0)})&=&0 ,\nonumber\\
{\rm Tr} (AF^{(6)}AF^{(0)})&=&0 ,\nonumber\\
{\rm Tr} (AF^{(7)}AF^{(0)})\bigg |_{d.p.}&=& - \frac{i
m^{2}\lambda^{2}
K^{mn}K_{mn}} {8\pi^{2}\varepsilon} \int {\mbox{d}}^4 x\hspace{1mm} 
F^{2}, \nonumber\\
{\rm Tr} (AF^{(8)}AF^{(0)})\bigg |_{d.p.}&=& \frac{i
m^{2}\lambda^{2}
K^{m}_{\ a}K^{*na}}{12\pi^{2}\varepsilon} \int {\mbox{d}}^4 x\hspace{1mm} 
\partial_{m}A\partial_{n}A ,\nonumber\\
{\rm Tr} (AF^{(9)}AF^{(0)}) &=&0 ,\nonumber\\
{\rm Tr} (AF^{(10)}AF^{(0)})&=&0 ,\nonumber\\
{\rm Tr} (AF^{(11)}AF^{(0)})\bigg |_{d.p.}&=&0 ,\nonumber\\
{\rm Tr} (AF^{(12)}AF^{(0)})\bigg |_{d.p.}&=&0.\nonumber\end{aligned}$$ Adding these terms we obtain $$\begin{aligned}
\tr (AFAF)\bigg |_{d.p.}&=& \tr (AF^{(0)}AF^{(0)})\bigg
|_{d.p.}+ 2\sum_{i=1}^{12}\tr (AF^{(i)}AF^{(0)})\bigg
|_{d.p.}\nonumber \\
&=& -\frac{i m^2 \lambda^2 K^{m}_{\ a}K^{*na}}{6\pi^2 \varepsilon} 
\int {\mbox{d}}^4 x\hspace{1mm} \partial_{m}A \partial_{n}A \nonumber \\
&& -\frac{i m^2 \lambda^2
K^{mn}K_{mn}}{4\pi^2\varepsilon}\int {\mbox{d}}^4 x\hspace{1mm} F^2.
\label{2pointA}\end{aligned}$$

The $\bar{B}FB\bar{F}$ term is more difficult to calculate. Some of the identities we use are given in the Appendix. We obtain the following contributions: $$\begin{aligned}
\tr (\bar{B}F^{(0)}B\bar{F}^{(0)})\bigg |_{d.p.}
&=& \frac{i \lambda^{2}}{2\pi^{2}\varepsilon}\int 
{\mbox{d}}^8 z\hspace{1mm} \Phi^{\dagger}\Phi ,\nonumber\\
\tr (\bar{B}F^{(1)}B\bar{F}^{(0)})\bigg |_{d.p.}
&=& -\frac{i \lambda^{2}K^{m}_{\ a}K^{*na}}{12\pi^{2}\varepsilon}
\int {\mbox{d}}^4 x\hspace{1mm} A^*(\square - 4 m^2)\partial_{m}
\partial_{n} A ,\nonumber\\
\tr (\bar{B}F^{(2)}B\bar{F}^{(0)})\bigg |_{d.p.}&=& 
-\frac{\lambda^{2}K^{m}_{\ a}K^{*na}}{36\pi^{2}\varepsilon}
\int {\mbox{d}}^4 x\hspace{1mm} \bar{\psi} \bar{\sigma}^{l}\partial_{l}
\partial_{m}\partial_{n}\psi \nonumber \\
&& + \frac{\lambda^{2}K^{m}_{\ a}K^{*na}}{12\pi^{2}\varepsilon} 
\int {\mbox{d}}^4 x\hspace{1mm} \bar{\psi} \bar{\sigma}_{n} 
\bigg(m^2-\frac{\square}{6}\bigg)\partial_{m}\psi ,\nonumber\\
\tr (\bar{B}F^{(3)}B\bar{F}^{(0)})\bigg |_{d.p.}&=& 
\frac{\lambda^{2}K^{m}_{\ a}K^{*na}}{72\pi^{2}\varepsilon}
\int {\mbox{d}}^4 x\hspace{1mm} \bar{\psi} \bar{\sigma}^{l}\partial_{l}
\partial_{m}\partial_{n}\psi ,\nonumber\\
\tr (\bar{B}F^{(4)}B\bar{F}^{(0)})\bigg |_{d.p.}&=& 
-\frac{i \lambda^{2}K^{m}_{\ a}K^{*na}}{2\pi^{2}\varepsilon}
\int {\mbox{d}}^4 