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

Abstract

We compute the contributions of dimension six two-quark operators to the non-leptonic decay width of heavy hadrons due to the flavor changing bottom-to-up-quark transition in the heavy quark expansion. Analytical expressions for the Darwin term ${\rho }_D$ and the spin-orbit term ${\rho }_{\mathrm{LS}}$ are obtained with leading order accuracy.

Comments: 22 pages, 3 figures. arXiv admin note: text overlap with arXiv:2004.09485