## Jet cross sections in electron-positron annihilation |

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### Contents

PERTURBATIVE CROSS SECTIONS FOR e+e ANNIHILATION | 6 |

CALCULATING THE LOGARITHMS AND CONSTANTS | 21 |

NUMERICAL EVALUATION OF NONSINGULAR PARTS | 42 |

2 other sections not shown

### Common terms and phrases

8exp calculation cluster algorithm CM energy collinear divergences cone definition coupling constant curves deep inelastic scattering defined detailed discussed in Section due to hadronization Ebeam eexp effects of hadronization ELECTRON-POSITRON ANNIHILATION energies and angles error exp exp exponentiation Firstly FKSS Furthermore improved correction integrand Ivy diagrams jacobian jet broadening jet cross section jet events kinematic ladder diagrams Lett limit logarithms and constants lowest order result massless matrix element momentum Monte-Carlo Mukti n2 terms non-perturbative jet nonsingular notation Nucl numerical overlap parameters particles partonic configurations PEP/PETRA energies permutations perturbation theory perturbative jet perturbative results Perturbatively allowed regions phase space Phys problem quarks and gluons renormalization group roughly scale shown in Fig singular matrix smearing soft divergences Sterman Sterman-Weinberg SW criterion SW cross sections test of QCD test QCD three jet three jet events values weighting function Z-factory energies