Next-to-Leading Order QCD Corrections and Massive Quarks in $e^{+}{e}^{-}\to 3$ Jets

Abstract

We present in detail a calculation of the next-to-leading order QCD corrections to the process $e^{+}{e}^{-}\to 3$ jets with massive quarks. To isolate the soft and collinear divergencies of the four parton matrix elements, we modify the phase space slicing method to account for masses. Our computation allows for the prediction of oriented three jet events involving heavy quarks, both on and off the Z resonance, and of any event shape variable which is dominated by three jet configurations. We show next-to-leading order results for the three jet fraction, the differential two jet rate, and for the thrust distribution at various c.m. energies.

51 pages, LaTeX, 16 postscript figures

References in corpus (5)

• Heavy Quark Current Correlators to O(α_s^2)
• Do the quark masses run? Extracting $m_b(m_Z)$ from LEP data
• Next-to-Leading Order QCD Corrections to Three-Jet Cross Sections with Massive Quarks
• Bottom quark mass and alpha_s from the Upsilon system
• Next-to-Leading-Order Corrections to Momentum Correlations in $Z^0\to b\bar{b}$

Cited by in corpus (45)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• The Dipole Formalism for Next-to-Leading Order QCD Calculations with Massive Partons
• Fragmentation Functions from Flavour-inclusive and Flavour-tagged e^+e^- Annihilations
• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
• Physics at the e+ e- Linear Collider
• The singular behavior of massive QCD amplitudes
• First determination of the strong coupling constant using NNLO predictions for hadronic event shapes in e^+e^- annihilations
• Power Corrections to Event Shapes with Mass-Dependent Operators
• Determination of the strong coupling constant using matched NNLO+NLLA predictions for hadronic event shapes in e+e- annihilations
• Angular dependences in inclusive two-hadron production at BELLE
• Power corrections in the dispersive model for a determination of the strong coupling constant from the thrust distribution
• Single Top Quark Production and Decay at Next-to-leading Order in Hadron Collision
• A Phenomenological Study of Heavy-Quark Fragmentation Functions in e+e- Annihilation
• Theoretical uncertainties on alpha_s from event-shape variables in e+e- annihilations
• Next-to-Leading Order Cross Sections for Tagged Reactions
• Two-loop amplitudes with nested sums: Fermionic contributions to e+ e- --> q qbar g
• NLO QCD corrections to pp/ppbar --> WW+jet+X including leptonic W-boson decays
• Top-quark forward-backward asymmetry in e+e- annihilation at NNLO in QCD
• Matching NLLA+NNLO for event shape distributions
• Electroweak prodution of top-quark pairs in e+e- annihilation at NNLO in QCD: the vector contributions
• Quark-mass effects for jet production in e^+ e^- collisions at the next-to-leading order: results and applications
• The real radiation antenna function for $S\to Q\bar{Q}q\bar{q}$ at NNLO QCD
• The two-loop soft function for heavy quark pair production at future linear colliders
• Two-Parton Contribution to the Heavy-Quark Forward-Backward Asymmetry in NNLO QCD
• Resummed jet rates for $e^{+}{e}^{-}$ annihilation into massive quarks
• An Improved Test of the Flavor Independence of Strong Interactions
• Top-quark pair production at next-to-next-to-leading order QCD in electron positron collisions
• $m_b$ at $m_H$: the running bottom quark mass and the Higgs boson
• Weak Corrections to Three-Jet Production in Electron-Positron Annihilations: 1) The Factorisable Contributions
• Six-jet production at lepton colliders
• $m_b(m_Z)$ from jet production at the $Z$ peak in the Cambridge algorithm
• NRQCD Factorization and Universality of NRQCD Matrix Elements
• Recent Tests of QCD at SLD
• Heavy quark mass effects in e^+e^- into three jets
• One-loop Electro-Weak Corrections to Three-jet Observables of b-quarks in e+e- Annihilations
• Three-loop jet function for boosted heavy quarks
• Parity-violating 3-jet observables for massive quarks to order alphas^2 in e+e- annihilation
• The real radiation antenna functions for $S\to Q\bar{Q}gg$ at NNLO QCD
• QCD corrections to single top quark production in electron photon interactions
• First study of the structure of e+e- -> b bbar g events and limits on the anomalous chromomagnetic moment of the b-quark
• Two-parton contribution to the heavy-quark A_FB at NNLO QCD in e+e- collisions
• QCD at High Energy
• On a possible measurement of alpha_s from B-Bbar correlations in Z^0 decay
• Forward-backward asymmetries of the heavy quark pair production in $e^{+}{e}^{-}$ collisions at $\mathcal{O}({\alpha }_s^2)$