Precision Thrust Cumulant Moments at N3LL
Abstract
We consider cumulant moments (cumulants) of the thrust distribution using predictions of the full spectrum for thrust including O(alphas3) fixed order results, resummation of singular N3LL logarithmic contributions, and a class of leading power corrections in a renormalon-free scheme. From a global fit to the first thrust moment we extract the strong coupling and the leading power correction matrix element Omega1. We obtain alphas(mZ) = 0.1141 (0.0004)exp (0.0014)hadr (0.0007)pert, where the 1-sigma uncertainties are experimental, from hadronization (related to Omega1) and perturbative, respectively, and Omega1 = 0.372 (0.044)exp (0.039)pert GeV. The n-th thrust cumulants for n > 1 are completely insensitive to Omega1, and therefore a good instrument for extracting information on higher order power corrections, Omega'n/Qn, from moment data. We find ( Omega'2)(1/2) = 0.74 (0.11)exp (0.09)pert GeV.
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