  Knowledge of all-$\alpha'$ higher derivative corrections to leading order BPS
and non-BPS brane actions would serve in future endeavor of determining the
complete form of the non-abelian BPS and tachyonic effective actions. In this
paper, we note that there is a universality in the all-$\alpha'$ order
corrections to BPS and non-BPS branes. We compute amplitudes between one
Ramond-Ramond $C$-field vertex operator and several SYM gauge/scalar vertex
operators. Specifically, we evaluate in closed form string correlators of
two-point amplitudes $\cal A^{C\phi}$, $\cal A^{CA}$, a three-point amplitude
$\cal A^{C\phi\phi}$ and a four-point amplitude $\cal A^{C\phi\phi\phi}$. We
carry out pole and contact term analysis. In particular we reproduce some of
the contact terms and the infinite massless poles of $\cal A^{C\phi\phi\phi}$
by SYM vertices obtained through the universality.
