  It is shown that the coefficient of the cubic interaction vertex, in higher
spin Lagrangians, has a very simple form when written in terms of spinor
helicity products. The result for a higher-spin field, of spin $\lambda$, is
equal to the corresponding Yang-Mills coefficient raised to the power
$\lambda$. Among other things, this suggests perturbative ties, similar to the
KLT relations, between higher spin theories and pure Yang-Mills. This result is
obtained in four-dimensional flat spacetime.
