Jet rates in electron-positron annihilation at O(α_s^3) in QCD

Abstract

We compute production rates for two, three, four and five jets in electron-positron annihilation at the third order in the QCD coupling constant. At this order, three-jet production is described to next-to-next-to-leading order (NNLO) in perturbation theory while the two-jet rate is obtained at next-to-next-to-next-to-leading order (N${}^3$LO). Our results yield an improved perturbative description of the dependence of jet multiplicity on the jet resolution parameter, $\ycut$, particularly at small values of $\ycut$.

arXiv comment4 pages, 2 figures, extended discussion on scale uncertainty, added references

References in corpus (42)

• HERWIG 6.5: an event generator for Hadron Emission Reactions With Interfering Gluons (including supersymmetric processes)
• High-Energy-Physics Event Generation with PYTHIA 6.1
• Better Jet Clustering Algorithms
• The Dipole Formalism for the Calculation of QCD Jet Cross Sections at Next-to-Leading Order
• Antenna Subtraction at NNLO
• One-Loop Amplitudes for e^+ e^- to Four Partons
• AMEGIC++ 1.0, A Matrix Element Generator In C++
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• QCD Corrections to the $e^{+}{e}^{-}$ Cross Section and the $Z$ Boson Decay Rate
• Antenna Factorization of Gauge-Theory Amplitudes
• Infrared Structure of $e^{+}{e}^{-}\to 2$ jets at NNLO
• Gluon-Gluon Antenna Functions from Higgs Boson Decay
• Quark-Gluon Antenna Functions from Neutralino Decay
• Two-Loop QCD Helicity Amplitudes for $e^{+}{e}^{-}\to 3$~Jets
• The Two-Loop QCD Matrix Element for $e^{+}{e}^{-}\to 3$ Jets
• Second-order QCD corrections to the thrust distribution
• Studies of Hadronic Event Structure in e+e- Annihilation from 30 GeV to 209 GeV with the L3 Detector
• Experimental Tests of Asymptotic Freedom
• Infrared structure of e+e- --> 3 jets at NNLO
• Measurement of event shape distributions and moments in e+e- -> hadrons at 91-209 GeV and a determination of alpha_s
• A study of the energy evolution of event shape distributions and their means with the DELPHI detector at LEP
• One-Loop Amplitudes for e^+ e^- to q-bar q Q-bar Q
• First determination of the strong coupling constant using NNLO predictions for hadronic event shapes in e^+e^- annihilations
• Do the quark masses run? Extracting $m_b(m_Z)$ from LEP data
• Measurement of alpha_s(M_Z^2) from Hadronic Event Observables at the Z^0 Resonance
• The One-loop QCD Corrections for ${\gamma }^{\ast }toQ\bar{Q}q\bar{q}$
• Antenna Factorization in Strongly-Ordered Limits
• QCD Analyses and determinations of alpha-s in e+e- Annihilation at energies between 35 and 189 GeV
• The One-loop QCD Corrections for gamma^* to q qbar gg
• Next-to-Leading Order QCD Corrections to Three-Jet Cross Sections with Massive Quarks
• Semi-numerical resummation of event shapes
• Tests of Quantum Chromo Dynamics at e^+e^- Colliders
• Real radiation at NNLO: e^+e^- to 2 jets through O(alpha_s^2)
• Electron-Positron Annihilation into Four Jets at Next-to-Leading Order in ${\alpha }_s$
• Complete Order alpha_s^3 Results for e^+ e^- to (gamma,Z) to Four Jets
• Two-loop amplitudes with nested sums: Fermionic contributions to e+ e- --> q qbar g
• Next-to-Leading Order Calculation of Four-Jet Shape Variables
• Four jet event shapes in electron-positron annihilation
• Next-to-Leading-Order Corrections to the Production of Heavy-Flavour Jets in e+e- Collisions
• QCD Corrections to Four-jet Production and Three-jet Structure in e+ e- annihilation
• NNLO corrections to 2-jet observables in electron-positron annihilation
• Six-jet production at lepton colliders

Cited by in corpus (90)

• New Relations for Gauge-Theory Amplitudes
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• QCD and strongly coupled gauge theories: challenges and perspectives
• Associated WH production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Infrared Structure at NNLO Using Antenna Subtraction
• Top-Quark Decay at Next-to-Next-to-Leading Order in QCD
• NNLO corrections to 3-jet observables in electron-positron annihilation
• On the NNLO QCD corrections to single-top production at the LHC
• Sector Decomposition
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• Antenna subtraction at NNLO with hadronic initial states: initial-final configurations
• Physics at the e+ e- Linear Collider
• Second order QCD corrections to jet production at hadron colliders: the all-gluon contribution
• Event shapes and jet rates in electron-positron annihilation at NNLO
• Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations
• Antenna subtraction at NNLO with hadronic initial states: double real radiation for initial-initial configurations with two quark flavours
• Two-Loop Fermionic Corrections to Heavy-Quark Pair Production: the Quark-Antiquark Channel
• NNLO QCD predictions for fully-differential top-quark pair production at the Tevatron
• Antenna subtraction at NNLO with hadronic initial states: real-virtual initial-initial configurations
• $O({\alpha }_s^2)$ corrections to fully-differential top quark decays
• Determination of the strong coupling constant using matched NNLO+NLLA predictions for hadronic event shapes in e+e- annihilations
• Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel
• W boson production at hadron colliders: the lepton charge asymmetry in NNLO QCD
• NNLO QCD corrections to jet production at hadron colliders from gluon scattering
• NNLO moments of event shapes in e+e- annihilation
• Antenna subtraction for gluon scattering at NNLO
• Two-loop QCD helicity amplitudes for $q\bar{q}\to W^{\pm }\gamma$ and $q\bar{q}\to Z^0\gamma$
• EERAD3: Event shapes and jet rates in electron-positron annihilation at order ${\alpha }_s^3$
• Hadronization effects in event shape moments
• Precise determination of the strong coupling constant at NNLO in QCD from the three-jet rate in electron--positron annihilation at LEP
• Local Analytic Sector Subtraction at NNLO
• Antenna subtraction for the production of heavy particles at hadron colliders
• 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
• The infrared structure of e+ e- --> 3 jets at NNLO reloaded
• NLO Antenna Subtraction with Massive Fermions
• N3LO Corrections to Jet Production in Deep Inelastic Scattering using the Projection-to-Born Method
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms
• The one-loop gluon amplitude for heavy-quark production at NNLO
• The Sudakov radiator for jet observables and the soft physical coupling
• Analytic integration of real-virtual counterterms in NNLO jet cross sections II
• Numerical Loop-Tree Duality: contour deformation and subtraction
• On the factorization of overlapping singularities at NNLO
• Perturbative QCD effects and the search for a H->WW->l nu l nu signal at the Tevatron
• Moments of event shapes in electron-positron annihilation at NNLO
• Measurement of the strong coupling alpha_S from the three-jet rate in e+e- - annihilation using JADE data
• Real-Virtual corrections for gluon scattering at NNLO
• Jet production in charged-current deep-inelastic scattering to third order in QCD
• Factorisation and Subtraction beyond NLO
• Matching NLLA+NNLO for event shape distributions
• Electroweak prodution of top-quark pairs in e+e- annihilation at NNLO in QCD: the vector contributions
• $C$-parameter hadronisation in the symmetric 3-jet limit and impact on ${\alpha }_s$ fits
• Double real radiation corrections to $t\bar{t}$ production at the LHC: the all-fermion processes
• The real radiation antenna function for $S\to Q\bar{Q}q\bar{q}$ at NNLO QCD
• Electroweak corrections to hadronic event shapes and jet production in e+e- annihilation
• Fits of ${\alpha }_s$ using power corrections in the three-jet region
• Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the doubly unresolved subtraction terms
• NNLO QCD corrections to event orientation in e+e- annihilation
• $H\to b\overline{b}j$ at Next-to-Next-to-Leading Order Accuracy
• Integration of collinear-type doubly unresolved counterterms in NNLO jet cross sections
• Double Virtual corrections for gluon scattering at NNLO
• Jet algorithms in electron-positron annihilation: Perturbative higher order predictions
• High precision determination of ${\alpha }_s$ from a global fit of jet rates
• Analytic integration of soft and collinear radiation in factorised QCD cross sections at NNLO
• A general algorithm to build mixed real and virtual antenna functions for higher-order calculations
• Two-Loop QCD Helicity Amplitudes for (2+1)-Jet Production in Deep Inelastic Scattering
• Does one need the O(epsilon)- and O(epsilon^2)-terms of one-loop amplitudes in an NNLO calculation ?
• Electroweak corrections to three-jet production in electron-positron annihilation
• Near-to-planar three-jet events at NNLL accuracy
• $m_b$ at $m_H$: the running bottom quark mass and the Higgs boson
• Two-loop QCD corrections to the $V\to q\bar{q}g$ helicity amplitudes with axial-vector couplings
• Full One-loop Electro-Weak Corrections to Three-jet Observables at the Z pole and Beyond
• Double real radiation corrections to gluon scattering at NNLO
• e^+ e^- -> 3 jets and event shapes at NNLO
• A general method for the resummation of event-shape distributions in e^+e^- annihilation
• The QCD Running Coupling and its Measurement
• Jet production at electron-positron colliders at next-to-next-to-next-to-leading order in QCD
• Sector-improved residue subtraction: Improvements and Applications
• Perturbative QCD at High Energy Colliders
• Interplay between perturbative and non-perturbative effects with the ARES method
• NNLO jet cross sections by subtraction
• Measurement of the strong coupling alpha_S in e+e- annihilation using the three-jet rate
• EERAD3 version 2: QCD corrections in hadronic colour-singlet decays
• QCD Predictions for Event-Shape Distributions in Hadronic Higgs Decays
• The real radiation antenna functions for $S\to Q\bar{Q}gg$ at NNLO QCD
• Particle Physics in the LHC Era and beyond
• One-loop Electro-Weak Corrections to the Event Orientation of e+e- into 3 jet Processes
• A reanalysis of event shape distributions in electron-positron annihilation
• Monte Carlo Event Generators for Future Lepton Colliders