Towards B → Vγ decays at NNLO in SCET

We compute NNLO(O(alpha(2)(s))) corrections to the hard-scattering kernels entering the QCD factorization formula for B -> V gamma decays, where V is a light light vector meson. We give complete NNLO results for the dipole operators Q(7) and Q(8), and partial results for Q(1) valid in the large-beta(0) limit and neglecting the NNLO correction from hard-spectator scattering. Large perturbative logarithms in the hard-scattering kernels are identified and resummed using soft-collinear effective theory. We use our results to estimate the branching fractions for B -> K*gamma and B-s -> phi gamma decays at NNLO and compare themwith the current experimental data.