Precision thrust cumulant moments at N[superscript 3]LL

Abstract

We consider cumulant moments (cumulants) of the thrust distribution using predictions of the full spectrum for thrust including O(α[subscript s][superscript 3]) fixed order results, resummation of singular N[superscript 3]LL 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 Ω[subscript 1]. We obtain α[subscript s](m[subscript Z])=0.1140±(0.0004)[subscript exp]±(0.0013)[subscript hadr]±(0.0007)[subscript pert], where the 1-σ uncertainties are experimental, from hadronization (related to Ω[subscript 1]) and perturbative, respectively, and Ω[subscript 1]=0.377±(0.044)exp±(0.039)pert GeV. The nth thrust cumulants for n≥2 are completely insensitive to Ω[subscript 1], and therefore a good instrument for extracting information on higher order power corrections, Ω[subscript [′ over n]/Q[superscript n], from moment data. We find ([bar over Ω]˜[subscript [′ over 2]])[superscript 1/2]=0.74±(0.11)[subscript exp]±(0.09)[subscript pert] GeV.