Effective Predictions of Event Shapes: Factorized, Resummed, and Gapped Angularity Distributions

Details Effective Predictions of Event Shapes: Factorized, Resummed, and Gapped Angularity Distributions Effective Predictions of Event Shapes: Factorized, Resummed, and Gapped Angularity Distributions

2009-01-26

arxiv.org/abs/0901.3780v3

JHEP 0905:122,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

52 pages, 13 figures, 1 table, uses JHEP3.cls. v2: comparison between SCET and QCD clarified, other minor corrections, v3: jou

Scientific paper

10.1088/1126-6708/2009/05/122

Using soft-collinear effective theory (SCET), which provides a unified framework for factorization, resummation of logarithms, and incorporation of universal nonperturbative functions in hard-scattering QCD cross-sections, we present a new prediction of angularity distributions in e+e- annihilation. Angularities tau_a are an infinite class of event shapes which vary in their sensitivity to the substructure of jets in the final state, controlled by a continuous parameter a<2. We calculate angularity distributions for all a<1 to first order in the strong coupling alpha_s and resum large logarithms in these distributions to next-to-leading logarithmic (NLL) accuracy. Our expressions for the next-to-leading order (NLO) O(alpha_s) partonic jet and soft functions in the factorization theorem for angularity distributions are given for the first time. We employ a model for the nonperturbative soft function with a gap parameter which cancels the renormalon ambiguity in the partonic soft function. We explore the relation between the SCET approach to resummation and past approaches in QCD, and discuss the advantages of the effective theory approach. In addition, we draw from the NLO calculations of the jet and soft functions an intuitive lesson about how factorization breaks down in the effective theory as a->1.

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