Within the heavy-quark expansion techniques for the heavy hadron weak decays we analytically compute the coefficient of the power-suppressed dimension-five chromo-magnetic operator at next-to-leading order of QCD perturbation theory with the full dependence on the final-state quark mass. We present explicit expressions for the total width of inclusive semileptonic decays including the power-suppressed terms and for a few moments of decay differential distributions. One of the important phenomenological applications of our results is a precision analysis of the decays of bottom mesons to charmed final states and the extraction of the numerical value for the Cabibbo-Kobayashi-Maskawa matrix entry $|V_{cb}|$.

• Received 27 July 2015

DOI:https://doi.org/10.1103/PhysRevD.92.054025