Abstract

Event shapes are invaluable QCD tools for theoretical calculations and experimental measurements. We revise the definition of these observables in e + e − annihilation and in hadron collisions, and give a review of the state-of-the-art results for their resummation. Then we detail how recent work on the re-summation of event shapes in electron-positron annihilation can provide us with the tools to extend resummation of generic hadronic event shapes to NNLL accuracy. We match our findings to fixed-order results at NNLO accuracy, showing the sizeable effects of resummation in the relevant regions of phase space.

Highlights

  • Event ShapesEvent shapes are measures of the hadronic energy flow in a system of particles

  • Event shapes are invaluable QCD tools for theoretical calculations and experimental measurements

  • Using the formalism of CAESAR we have recently developed a resummation method for event shapes in e+e− annihilation at NNLL order

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Summary

Event Shapes

Event shapes are measures of the hadronic energy flow in a system of particles. These observables are useful for tuning Monte Carlo generators and extraction of the strong coupling αs. Q where the vector n maximised by the sum defines the thrust axis, nT and Q is the total centre of mass energy. Using these hemispheres we can define jet broadening

Event Shapes’ Definitions in Hadronic Collisions
Globalness Issues and Solutions
Resummation
CAESAR
Resummation of Event Shapes to NNLL
Hadronic Event Shapes in ARES
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