Feige, IlyaSchwartz, MatthewStewart, Iain W.Thaler, Jesse2016-09-292012Feige, Ilya, Matthew D. Schwartz, Iain W. Stewart, and Jesse Thaler. 2012. “Precision Jet Substructure from Boosted Event Shapes.” Physical Review Letters 109 (9) (August). doi:10.1103/physrevlett.109.092001.0031-9007http://nrs.harvard.edu/urn-3:HUL.InstRepos:28657434Jet substructure has emerged as a critical tool for LHC searches, but studies so far have relied heavily on shower Monte Carlo simulations, which formally approximate QCD at leading-log level. We demonstrate that systematic higher-order QCD computations of jet substructure can be carried out by boosting global event shapes by a large momentum Q, and accounting for effects due to finite jet size, initial-state radiation (ISR), and the underlying event (UE) as 1/Q corrections. In particular, we compute the 2-subjettiness substructure distribution for boosted Z → q q¯ events at the LHC at next-to-next-to-next-to-leading-log order. The calculation is greatly simplified by recycling the known results for the thrust distribution in e + e − collisions. The 2-subjettiness distribution quickly saturates, becoming Q independent for Q >∼ 400 GeV. Crucially, the effects of jet contamination from ISR/UE can be subtracted out analytically at large Q, without knowing their detailed form. Amusingly, the Q = ∞ and Q = 0 distributions are related by a scaling by e, up to next-to-leading-log order.en-USJournal Article2016-09-2910.1103/PhysRevLett.109.092001