3.8 Proceedings Paper

State-of-the-Art Predictions for C-parameter and a Determination of αs

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AMER INST PHYSICS
DOI: 10.1063/1.4938630

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QCD; Jets; Event Shapes; Precision Physics; Higher Order Computations; Effective Field Theories

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The C-parameter event-shape distribution for e(+) e(-) annihilation into hadrons is computed in the framework of SCET including input from fixed -order perturbation theory. We calculate all missing ingredients for achieving (NLL)-L-3 resummation accuracy in the cross section, which is then matched onto e(a53) fixed-order results. Hadronization power corrections are incorporated as a convolution with a nonperturbative shape function. Wide-angle soft radiation effects introduce an Omicron(AQcD) renormalon ambiguity in the cross section, which we cure by switching to the Rgap short-distance scheme. We also include hadron mass effects, but find their effect is rather small. Performing fits to the tail of the C-parameter distribution for many center of mass energies we find that the strong coupling constant is alpha(s) (mz) = 0.1123 +/- 0.0015, with chi(2) /dof = -0.99.

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