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We compute the contributions of dimension six two-quark operators to thenon-leptonic decay width of heavy hadrons due to the flavor changingbottom-to-up-quark transition in the heavy quark expansion. Analyticalexpressions for the Darwin term $\rho_D$ and the spin-orbit term $\rho_{\rmLS}$ are obtained with leading order accuracy.

Completing $1/m_b^3$ corrections to non-leptonic bottom-to-up-quark decays