Abstract
Jet 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 qbar 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=infinity and Q=0 distributions are related by a
scaling by e, up to next-to-leading-log order.
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