  We establish refactorisation conditions between the subleading
${O}_8$-${O}_8$ contributions to the inclusive $\bar B \to X_s \gamma$ decay
suffering from endpoint divergences and prove a factorisation theorem for these
contributions to all orders in the strong coupling constant. This allows for
higher-order calculations of the resolved contributions and consistent
summation of large logarithms, consequently reducing the recently found
large-scale dependence in these contributions. We implement the concept of
refactorisation in a heavy flavour application of SCET, which includes
nonperturbative functions as additional subtlety not present in collider
applications.
