We consider cumulant moments (cumulants) of the thrust distribution using predictions of the full spectrum for thrust including $\mathcal{O}({\alpha }_s^3)$ fixed order results, resummation of singular ${\mathrm{N}}^3\mathrm{LL}$ 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 ${\Omega }_1$. We obtain ${\alpha }_s(m_Z)=0.1140\pm (0.0004{)}_{\exp }\pm (0.0013{)}_{\mathrm{hadr}}\pm (0.0007{)}_{\mathrm{pert}}$, where the $1\mathrm{\text{−}}\sigma$ uncertainties are experimental, from hadronization (related to ${\Omega }_1$) and perturbative, respectively, and ${\Omega }_1=0.377\pm (0.044{)}_{\exp }\pm (0.039{)}_{\mathrm{pert}}\mathrm{GeV}$. The $n$th thrust cumulants for $n\ge 2$ are completely insensitive to ${\Omega }_1$, and therefore a good instrument for extracting information on higher order power corrections, ${\Omega }_n^{\prime }/Q^n$, from moment data. We find $({\tilde{\Omega }}_2^{\prime }{)}^{1/2}=0.74\pm (0.11{)}_{\exp }\pm (0.09{)}_{\mathrm{pert}}\mathrm{GeV}$.

• Received 28 May 2012

DOI:https://doi.org/10.1103/PhysRevD.86.094002