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In the first part of this paper, we calculate the disk-level S-matrixelements of one RR, one NSNS and one NS vertex operators, and show that theyare consistent with the amplitudes that have been recently found by applyingvarious Ward identities. We show that the massless poles of the amplitude atlow energy are fully consistent with the known D-brane couplings at order$\alpha'^2$ which involve one RR or NSNS and two NS fields. Subtracting themassless poles, we then find the contact terms of one RR, one NSNS and one NSfields at order $\alpha'^2$. Some of these terms are reproduced by the Taylorexpansion and the pull-back of two closed string couplings, some othercouplings are reproduced by linear graviton in the second fundamental form andby the B-field in the gauge field extension $F\rightarrow F+B$, in one closedand two open string couplings.  In the second part, we write all independent covariant contractions of oneRR, one NSNS and one NS fields with unknown coefficients. We then constrain thecouplings to be consistent with the linear T-duality and with the above contactterms. Interestingly, we have found that up to total derivative terms andBianchi identities, these constraints uniquely fix all the unknowncoefficients.

Higher derivative corrections to WZ action: One RR, one NSNS and one NS couplings