The Energy-Energy Correlation in the back-to-back limit at N3LO and N3LL?

A bstract We present the analytic formula for Energy-Energy Correlation (EEC) in electron-positron annihilation computed perturbative QCD to next-to-next-to-next-to-leading order (N 3 LO) back-to-back limit. In particular, we consider EEC arising from of an pair into a virtual photon as well Higgs boson and their subsequent inclusive decay hadrons. Our computation is based on factorization theorem formulated within Soft-Collinear Effective Theory (SCET) obtain last missing ingredient our — jet function recent calculation transverse-momentum dependent fragmentation (TMDFF) at N LO. combine newly obtained LO with known hard soft predict The leading transcendental contribution agrees previously results $$ \mathcal{N} N = 4 supersymmetric Yang-Mills theory. 2 Mellin moment bulk region using momentum sum rules. Finally, first resummation limit LL? accuracy, resulting factor ? reduction uncertainties peak compared LL predictions.