  We present a calculation of the B0 - anti-B0 mixing matrix element in the
framework of QCD sum rules for three-point functions. We compute alpha_s
corrections to a three-point function at the three-loop level in QCD
perturbation theory, which allows one to extract the matrix element with
next-to-leading order (NLO) accuracy. This calculation is imperative for a
consistent evaluation of experimentally-measured mixing parameters since the
coefficient functions of the effective Hamiltonian for B0 - anti-B0 mixing are
known at NLO. We find that radiative corrections violate factorization at NLO;
this violation is under full control and amounts to 10%.
