Higher-order corrections to jet cross sections in e sup + e minus annihilation

Journal Article · Tue Sep 01 00:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.1980· OSTI ID:7258547

Giele, W T ^[1]; Glover, E W.N. ^[2]

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1. Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510 (United States)
2. Physics Department, University of Durham, Durham DH1 3LE (United Kingdom)

A general method to calculate next-to-leading-order multijet cross sections is presented. The emphasis is on how to isolate the soft and collinear divergences in multiparton matrix elements at all orders in the number of colors. As an example, the method is used to isolate the divergences in {ital e}{sup +}{ital e{minus}}{r arrow}{ital q{bar q}}+{ital n} gluons and {ital e}{sup +}{ital e{minus}}{r arrow}{ital q{bar q}q{bar q}}+{ital n} gluons, where, for simplicity we keep only the terms at leading order in the number of colors. The usual algebraic complexity of calculating next-to-leading-order corrections in QCD is avoided, especially the {ital d}-dimensional squaring of the real matrix elements and the hard phase-space integrals. Some remarks about the structure of the virtual contributions are made. As a first application, and to examine the feasibility of the approach, explicit Monte Carlo programs are constructed which contain the complete next-to-leading-order corrections to {ital e}{sup +}{ital e{minus}}{r arrow}2 jets and {ital e}{sup +}{ital e{minus}}{r arrow}3 jets. It is demonstrated that the method works and can be readily applied to a variety of processes.

• OSTI ID: 7258547
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 46:5; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTRON-POSITRON INTERACTIONS
CROSS SECTIONS
ANNIHILATION
COLOR MODEL
COUPLING CONSTANTS
FOUR-DIMENSIONAL CALCULATIONS
GLUONS
JET MODEL
MATRIX ELEMENTS
MONTE CARLO METHOD
PARTICLE PRODUCTION
PERTURBATION THEORY
PHASE SPACE
QUANTUM CHROMODYNAMICS
SPINORS
BASIC INTERACTIONS
BOSONS
COMPOSITE MODELS
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
FIELD THEORIES
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUARK MODEL
SPACE
662230* - Quantum Chromodynamics- (1992-)
662310 - Weak & Electromagnetic Interactions of Leptons- (1992-)