Scaling Rule for Nonperturbative Radiation in a Class of Event Shapes

Abstract

We discuss nonperturbative radiation for a recently introduced class of infrared safe event shape weights, which describe the narrow-jet limit. Starting from next-to-leading logarithmic (NLL) resummation, we derive an approximate scaling rule that relates the nonperturbative shape functions for these weights to the shape function for the thrust. We argue that the scaling reflects the boost invariance implicit in NLL resummation, and discuss its limitations. In the absence of data analysis for the new event shapes, we compare these predictions to the output of the event generator PYTHIA.

23 pages, 3 figures, uses JHEP3.cls (included); v2 - version to appear in JHEP

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• PYTHIA 6.4 Physics and Manual
• Event Shape/Energy Flow Correlations
• PYTHIA 6.3 Physics and Manual
• Resummed event-shape variables in DIS
• Higher Orders in A(α_s)/[1-x]_+ of Non-Singlet Partonic Splitting Functions
• The C parameter distribution in e+e- annihilation
• Generalized resummation of QCD final-state observables
• Interjet Energy Flow/Event Shape Correlations
• Soft Gluon Exponentiation and Resummation
• Measurements of ${\alpha }_s$ from event shapes and the four-jet rate

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