B}_{\nu}(x, \theta, \bar\theta)\,
-\,i\,\partial_{\mu}\,{\bar F}^{(d)}(x, \theta, \bar\theta)\, 
\partial^{\mu} F^{(d)}(x, \theta, \bar\theta)\\\nonumber 
\equiv \varepsilon^{\mu\nu}\,(\partial_{\mu}{\cal B} (x)) \,A_{\nu}(x)\,
-\,i\,\partial_{\mu}\,\bar C(x)\, \partial^{\mu} C(x).\end{aligned}$$ In the above, the expansions for the superfields $F^{(d)} (x, \theta, \bar\theta)$ and $\bar F^{(d)} (x, \theta, \bar\theta)$ are $$\begin{aligned}
&&F^{(d)} (x, \theta, \bar\theta)\,=\,C(x)\,+\,\bar\theta\,(-\,i\,{\cal B}) \equiv C(x) + 
\bar\theta\, (s_d \, C), \nonumber\\
&&{\bar F}^{(d)} (x, \theta, \bar\theta)\,=\,\bar C(x)\,+\,\theta\,(i\,{\cal B})
\equiv \bar C(x) + \theta\, (s_{ad}\, \bar C),\end{aligned}$$ because it is clear from (24) that $s = \bar s = 0$ and $B_{1} = B_{4} = 0$. The substitution of the explicit expansion of $F^{(d)}(x, \theta, \bar\theta), {\bar F}^{(d)}(x, \theta, \bar\theta)$ and ${\cal B}_{\mu}(x, \theta, \bar\theta)$ into (26) leads to the following relationships when we equate the coefficients of $\theta, \bar\theta$ and $\theta \bar\theta$ equal to zero, namely; $$\begin{aligned}
&&\varepsilon^{\mu\nu}\,\bigl(\partial_{\mu}{\cal B}(x)\bigr)\,\bar R_{\nu}(x)\,
+\partial_{\mu}C(x) \,\partial^{\mu} {\cal B}(x)\,=\,0, \\ \nonumber
&&\varepsilon^{\mu\nu}\,\bigl(\partial_{\mu}{\cal B}(x)\bigr)\, R_{\nu}(x)\,
+\partial_{\mu}\bar C(x) \,\partial^{\mu} {\cal B}(x)\,=\,0, \\ \nonumber
&&\varepsilon^{\mu\nu}\,\bigl(\partial_{\mu}{\cal B}(x)\bigr)\,S_{\nu}(x)\,
+\partial_{\mu}{\cal B}(x) \,\partial^{\mu} {\cal B}(x)\,=\,0,\end{aligned}$$ leading to the final determination of the secondary fields (with the help from (24)) as $$\begin{aligned}
{\bar R}_{\mu}(x)\,=\,-\,\varepsilon_{\mu\nu}\,\partial^{\nu}C(x), \quad
R_{\mu}(x)\,=\,-\,\varepsilon_{\mu\nu}\,\partial^{\nu}\,{\bar C}(x), \quad
 S_{\mu}(x)\,=\,-\,\varepsilon_{\mu\nu}\,\partial^{\nu}{\cal B}(x). \end{aligned}$$ Thus, we have the following explicit expansions of the superfield: $$\begin{aligned}
{\cal B}_{\mu}^{(d)}(x, \theta, \bar\theta)\,&=&\,A_{\mu}(x)\,+\,\theta\,
\bigl(-\,\varepsilon_{\mu\nu}\,\partial^{\nu}C(x)\bigr)\,+\,\bar \theta \,
\bigl(-\,\varepsilon_{\mu\nu}\,\partial^{\nu}{\bar C}(x)\bigr)
