T-duality of anomalous Chern-Simons couplings

It is known that the anomalous Dp-brane Chern-Simons couplings are not consistent with the standard rules of T-duality. Using compatibility of these couplings with the linear T-duality transformations, the B-field gauge transformations and the general coordinate transformations as guiding principles we find new couplings at order O(α′2) for C(p−3), C(p−1), C(p+1) and C(p+3).