Contribution of the Darwin operator to non-leptonic decay of heavy hadrons
The total decay width of heavy hadrons can be systematically computed using the Heavy Quark Expansion (HQE) framework, as a series in inverse powers of the heavy quark mass m_Q. Computation of higher corrections is crucial both to test the consistency of HQE itself and to constrain the size of possible new physics effects. In this talk I will present the result of our recent work on the determination of the two-loop 1/m_b^3 correction (Darwin term) to the non-leptonic decays of B mesons. This effect is found to give the dominant correction for the case of B_s and B_d mesons, and the second most important correction for the case of B^+ meson.