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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 to All Orders

QCD to All Orders

(p.270) 5 QCD to All Orders
The Black Book of Quantum Chromodynamics

John Campbell

Joey Huston

Frank Krauss

Oxford University Press

This chapter centres around the treatment of QCD emissions to all orders. After introductory remarks about the analytic properties of the radiation pattern, some of the most striking phenomenological consequences of non-trivial quantum effects, in particular, the angular ordering property of QCD, are highlighted. Next, analytic resummation techniques are considered, expanding on the treatment of transverse momentum resummation from Chapter 2, and introducing the idea of threshold resummation. BFKL resummation, which resums large logarithms emerging in the high-energy limit, is also introduced. In the second part of this chapter, the probabilistic simulation of QCD radiation through the parton shower is discussed. After a detailed introduction to different schemes and algorithms, the discussion of the combination of the parton shower with fixed-order matrix elements beyond the Born approximation is considered, with a discussion of matching with NLO calculations and the merging with multijet matrix elements.

Keywords:   QCD radiation pattern, resummation, angular ordering, DGLAP equation, BFKL equation, parton showers

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