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We describe a diagrammatic procedure to carry out the Grassmann integrationin super-Feynman diagrams of 4d theories expressed in terms of $\mathcal{N}=1$superfields. This method is alternative to the well known $D$-algebra approach.We develop it in detail for theories containing vector, chiral and anti-chiralsuperfields, with the type of interactions which occur in $\mathcal{N}=2$ SYMtheories with massless matter, but it would be possible to extend it to othercases. The main advantage is that this method is algorithmic; we implemented itas a Mathematica program that, given the description of a super Feynman diagramin momentum space, returns directly the polynomial in the momenta produced bythe Grassmann integration.

$\theta$-diagram technique for $\mathcal{N}=1$, $d=4$ superfields