  In this paper we develop a Young diagram approach to constructing higher
dimensional operators formed from massless superfields and their
superderivatives in $\mathcal{N}=1$ supersymmetry. These operators are in
one-to-one correspondence with non-factorizable terms in on-shell
superamplitudes, which can be studied with massless spinor helicity techniques.
By relating all spin-helicity variables to certain representations under a
hidden $U(N)$ symmetry behind the theory, we show each non-factorizable
superamplitude can be identified with a specific Young tableau. The desired
tableau is picked out of a more general set of $U(N)$ tensor products by
enforcing the supersymmetric Ward identities. We then relate these Young
tableaux to higher dimensional superfield operators and list the rules to read
operators directly from Young tableau. Using this method, we present several
illustrative examples.
