  We present a new calculation for the production of isolated photon pairs at
the LHC with NNLL$'_{\mathcal{T}_0}$+NNLO accuracy. This is the first
implementation within the GENEVA Monte Carlo framework of a process with a
nontrivial Born-level definition which suffers from QED singularities.
Throughout the computation we use a smooth-cone isolation algorithm to remove
such divergences. The higher-order resummation of the 0-jettiness resolution
variable $\mathcal{T}_0$ is based on a factorisation formula derived within
Soft-Collinear Effective Theory which predicts all of the singular, virtual and
real NNLO corrections. Starting from this precise parton-level prediction and
by employing the GENEVA method, we provide fully showered and hadronised events
using PYTHIA8, while retaining the NNLO QCD accuracy for observables which are
inclusive over the additional radiation. We compare our final predictions to
LHC data at 7 TeV and find good agreement.

High Energy Physics - Phenomenology;High Energy Physics - Experiment