  We consider the Energy-Energy Correlation function in electron-positron
annihilation to hadrons. We concentrate on the back-to-back region, performing
all-order resummation of the logarithmically enhanced contributions in QCD
perturbation theory, up to next-to-next-to-next-to-leading logarithmic
(N$^3$LL) accuracy. Away from the back-to-back region, we consistently combine
resummed predictions with the known fixed-order results up to
next-to-next-to-leading order (NNLO). All perturbative terms up to order
{\alpha}S3 are included in our calculation, which exactly reproduces, after
integration over the angular separation variable, the
next-to-next-to-next-to-leading order (N$^3$LO) result for the total cross
section. We regularize the Landau singularity of the QCD coupling within the
so-called Minimal Prescription. We exhibit and discuss the reduction of the
perturbative scale dependence of distributions at higher orders, as a means to
estimate the corresponding residual perturbative uncertainty. We finally
present an illustrative comparison with LEP data.
