  The $\mathcal{N}=1$ Super Yang-Mills theory in the presence of the local
composite operator $A^2$ is analyzed in the Wess-Zumino gauge by employing the
Landau gauge fixing condition. Due to the superymmetric structure of the
theory, two more composite operators, $A_\mu \gamma_\mu \lambda$ and
$\bar{\lambda}\lambda$, related to the susy variations of $A^2$ are also
introduced. A BRST invariant action containing all these operators is obtained.
An all order proof of the multiplicative renormalizability of the resulting
theory is then provided by means of the algebraic renormalization setup.
Though, due to the non-linear realization of the supersymmetry in the
Wess-Zumino gauge, the renormalization factor of the gauge field turns out to
be different from that of the gluino.

High Energy Physics - Theory