Semi-numerical resummation of event shapes

Abstract

For many event-shape observables, the most difficult part of a resummation in the Born limit is the analytical treatment of the observable's dependence on multiple emissions, which is required at single logarithmic accuracy. We present a general numerical method, suitable for a large class of event shapes, which allows the resummation specifically of these single logarithms. It is applied to the case of the thrust major and the oblateness, which have so far defied analytical resummation and to the two-jet rate in the Durham algorithm, for which only a subset of the single logs had up to now been calculated.

29 pages, 7 figures. Version 2 adds some clarifications, a reference, as well as corrections to the subleading fixed-order coefficients and to figures 4 and 7

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• Multi-jet cross sections in deep inelastic scattering at next-to-leading order
• Renormalon resummation and exponentiation of soft and collinear gluon radiation in the thrust distribution
• QCD analysis of D-parameter in near-to-planar three-jet events
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Cited by in corpus (56)

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• Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region
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• Resummed event shapes at hadron-hadron colliders
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• Measurement of event shape distributions and moments in e+e- -> hadrons at 91-209 GeV and a determination of alpha_s
• First determination of the strong coupling constant using NNLO predictions for hadronic event shapes in e^+e^- annihilations
• Non-global logarithms and jet algorithms in high-pT jet shapes
• A new approach to the Higgs transverse-momentum resummation at NNLL+NNLO
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• Resummed event-shape variables in DIS
• Precise determination of the strong coupling constant at NNLO in QCD from the three-jet rate in electron--positron annihilation at LEP
• Theoretical uncertainties on alpha_s from event-shape variables in e+e- annihilations
• Event Generators for High-Energy Physics Experiments
• Measurements of the differential jet cross section as a function of the jet mass in dijet events from proton-proton collisions at $\sqrt{s}=$ 13 TeV
• NLO QCD corrections to five-jet production at LEP and the extraction of alpha_s(M_Z)
• The two-jet rate in e^+e^- at next-to-next-to-leading-logarithmic order
• Measuring Higgs CP and couplings with hadronic event shapes
• Quark masses in Higgs production with a jet veto
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• The C parameter distribution in e+e- annihilation
• Soft evolution of multi-jet final states
• Generalized resummation of QCD final-state observables
• Matching NLLA+NNLO for event shape distributions
• Joint Two-Dimensional Resummation in $q_T$ and $0$-Jettiness at NNLL
• Soft-Drop Thrust
• Angular ordering and parton showers for non-global QCD observables
• Non--global logs and clustering impact on jet mass with a jet veto distribution
• Electroweak corrections to hadronic event shapes and jet production in e+e- annihilation
• Position resolution and particle identification with the ATLAS EM calorimeter
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• Renormalization of Subleading Dijet Operators in Soft-Collinear Effective Theory
• 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
• Extending the MINLO method
• Determination of alpha_s using Jet Rates at LEP with the OPAL detector
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• Near-to-planar three-jet events at NNLL accuracy
• BLM Scale Fixing in Event Shape Distributions
• Matching and event-shape NNDL accuracy in parton showers
• e^+ e^- -> 3 jets and event shapes at NNLO
• A numerical formulation of resummation in effective field theory
• Pileup and Infrared Radiation Annihilation (PIRANHA): A Paradigm for Continuous Jet Grooming
• Double-charming Higgs identification using machine-learning assisted jet shapes
• Interplay between perturbative and non-perturbative effects with the ARES method
• Measurements of ${\alpha }_s$ from event shapes and the four-jet rate
• How much joint resummation do we need?
• Status of resummed predictions for QCD final state observables