Factorisation theorem and pole cancellation in the resolved $Q_1^q$-$Q_{7γ}$ contribution to $\bar{B}\to X_sγ$ at NLO

We study the subleading resolved $Q_1^q$-$Q_{7γ}$ contribution to the inclusive decay $\bar{B}\to X_sγ$ at next-to-leading order (NLO) in $α_s$. We present a formulation of the factorisation theorem which is valid beyond the leading order (LO). On this basis, we explicitly demonstrate the cancellati