Generalized resummation of QCD final-state observables

Abstract

The resummation of logarithmically-enhanced terms to all perturbative orders is a prerequisite for many studies of QCD final-states. Until now such resummations have always been performed by hand, for a single observable at a time. In this letter we present a general `master' resummation formula (and applicability conditions), suitable for a large class of observables. This makes it possible for next-to-leading logarithmic resummations to be carried out automatically given only a computer routine for the observable. To illustrate the method we present the first next-to-leading logarithmic resummed prediction for an event shape in hadronic dijet production.

9 pages, 1 figure; v2 includes substantial amplifications and clarifications

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• Soft gluons at large angles in hadron collisions
• QCD resummation for hadronic final states
• Summing Large-N Towers in Colour Flow Evolution
• The Sudakov radiator for jet observables and the soft physical coupling
• Soft evolution of multi-jet final states
• Scaling Rule for Nonperturbative Radiation in a Class of Event Shapes
• Soft-Drop Thrust
• Angular ordering and parton showers for non-global QCD observables
• Hadron collisions and the fifth form factor
• Soft-drop grooming for hadronic event shapes
• Soft-gluon effective coupling and cusp anomalous dimension
• Numerical resummation at subleading color in the strongly ordered soft gluon limit
• Resummed predictions for jet-resolution scales in multijet production in $e^{+}{e}^{-}$ annihilation
• Measurement of Event Shapes in Proton-Antiproton Collisions at Center-of-Mass Energy 1.96 TeV
• Oriented Event Shapes at N3LL + O(as^2)
• Near-to-planar three-jet events at NNLL accuracy
• Jet evolution in a dense QCD medium
• Double-charming Higgs identification using machine-learning assisted jet shapes
• Subleading power corrections for event shape variables in $e^{+}{e}^{-}$ annihilation
• Recent QCD results from the Tevatron
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• Studying QCD in the Final State of High Energy Collisions
• Automated Resummation and Hadron Collider Event Shapes
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