Kinetic operator effects in B¯→Xcℓν at O(αs)O(αs)

We compute the O(αs)O(αs) corrections to the Wilson coefficient of the kinetic operator in inclusive semileptonic B decays. Our analytic calculation agrees with reparameterization invariance and with previous numerical results and paves the way to the calculation of analogous corrections to other power-suppressed coefficients.