In this talk, we will discuss small radius jets at the LHC,
focusing more particularly on the case of inclusive jet
production, a standard candle hadron-collider process. We will
show how to resum leading logarithmic terms of the jet radius R
(LLR), and apply this formalism to a detailed study of the inclusive
jet spectrum. We will study subleading R-dependent terms at
next-to-next-to-leading order (NNLO), and incorporate them into
our calculation. We will investigate cancellations in the scale
dependence, leading to new prescriptions for evaluating
uncertainties, and examine the impact of non-perturbative
effects. Finally, we compare matched (N)NLO+LLR predictions
with data from ATLAS and ALICE, finding improved consistency
for the R-dependence of the results relative to NLO predictions.
