Three-loop mixing of dipole operators

We calculate the complete three-loop O(alpha(s)(3)) anomalous dimension matrix for the dimension-five dipole operators that arise in the standard model after integrating out the top quark and the heavy electroweak bosons. Our computation completes the three-loop anomalous dimension matrix of operators that govern low-energy vertical bar Delta F vertical bar = 1 flavor-changing processes, and represents an important ingredient of the next-to-next-to-leading order QCD analysis of the (B) over bar -> X(s)gamma decay.