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We calculate the two- and three-loop massive operator matrix elements (OMEs)contributing to the heavy flavor Wilson coefficients of transversity. We obtainthe complete result for the two-loop OMEs and compute the first thirteen Mellinmoments at three-loop order. As a by-product of the calculation, the momentsN=1 to 13 of the complete two-loop and the $T_F$-part of the three-looptransversity anomalous dimension are obtained.

2- and 3-Loop Heavy Flavor Corrections to Transversity