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The Black Book of Quantum ChromodynamicsA Primer for the LHC Era$
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John Campbell, Joey Huston, and Frank Krauss

Print publication date: 2017

Print ISBN-13: 9780199652747

Published to Oxford Scholarship Online: March 2018

DOI: 10.1093/oso/9780199652747.001.0001

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QCD at Fixed Order: Technology

QCD at Fixed Order: Technology

Chapter:
(p.99) 3 QCD at Fixed Order: Technology
Source:
The Black Book of Quantum Chromodynamics
Author(s):

John Campbell

Joey Huston

Frank Krauss

Publisher:
Oxford University Press
DOI:10.1093/oso/9780199652747.003.0003

This chapter is devoted to the technology of fixed-order calculations, in particular, in QCD. After a short summary of methods for the efficient evaluation of tree-level scattering amplitudes for multi-particle production, and their integration in phase space, next-to leading order corrections in QCD are addressed. Techniques for the evaluation of loop amplitudes with modern methods, based on the reduction to master integrals, either analytically or with numerical unitarity cut methods, are discussed in some detail. After identifying the problem of infrared divergences and illuminating their treatment with a toy model, Catani-Seymour subtraction is explicitly introduced and exemplified for two cases, namely inclusive hadron production in electron-positron annihilation and inclusive W boson production in hadron collisions. This chapter concludes with some remarks concerning the rapidly developing field of next-to-next-to leading order calculations.

Keywords:   QCD, leading order, next-to leading order, next-to-next-to leading order, subtraction methods, Catani–Seymour subtraction

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