Relation between bottom-quark MS-bar Yukawa coupling and pole mass
  We calculate the O(alpha alpha_s) corrections to the relationships between the MS-bar Yukawa couplings and the pole masses of the first five quark flavours in the standard model. We also present the corresponding relationships between the MS-bar and pole masses, which emerge as by-products of our main analysis. The occurring self-energies are evaluated using the method of asymptotic expansion. 
Bernd A. Kniehl, Jan H. Piclum, Matthias Steinhauser