In bosonic string theory, it is known that the Buscher rules for the T-duality transformations receive quantum corrections at order $��'$. In this paper, we use the consistency of the gravity couplings on the D-brane effective action at order $��'$, with the above T-duality transformations to find the B-field and the dilaton couplings. We show that these couplings are fully consistent with the corresponding disk-level S-matrix elements in string theory.

19 pages, Latex file, no figure; v2:minor corrections in section 3, it appears in JHEP