Speaker
Description
Precision studies of jets and their substructure at the LHC require a robust theoretical description for anti-$k_t$ jet production. For small-radius jets, the cross section can be factorized into parton distribution functions, a hard function, and a jet function that encodes the jet clustering effects. We present the two-loop calculation of this jet function and uncover previously missing logarithms in the standard DGLAP factorization. Building on the recent understanding of energy correlators, we propose a corrected factorization formula and perform the next-to-next-to-leading logarithmic resummation for small-radius jet production at the LHC. This result shows good agreement with the CMS measurements. Our framework extends naturally to a broad class of jet substructure observables and other collider experiments, offering the potential for more precise QCD measurements.