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Rapidity renormalization group
Jui-yu Chiu1, Ambar Jain, Duff Neill
1Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA.
Abstract:
We introduce a systematic approach for the resummation of perturbative series which involves large logarithms not only due to large invariant mass ratios but large rapidities as well. A series of this form can appear in a variety of gauge theory observables. The formalism is utilized to calculate the jet broadening event shape in a systematic fashion to next-to-leading logarithmic order. An operator definition of the factorized cross section as well as a closed form of the next-to-leading-log cross section are presented. The result agrees with the data to within errors.
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