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Deep Inelastic Scattering$
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Robin Devenish and Amanda Cooper-Sarkar

Print publication date: 2003

Print ISBN-13: 9780198506713

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198506713.001.0001

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QCD improved parton model

QCD improved parton model

Chapter:
(p.69) 4 QCD improved parton model
Source:
Deep Inelastic Scattering
Author(s):

Robin Devenish

Amanda Cooper-Sarkar

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198506713.003.0004

The QCD improved parton model provides the foundation on which all the remaining chapters are based. This chapter begins by covering the key ideas: tree level QCD Compton and boson-gluon fusion processes give rise to characteristic gluonic ‘radiative corrections’ to the QPM; infrared singularities are absorbed by renormalizing the parton densities, which thus become Q2 dependent and no longer satisfy exact Bjorken scaling. The next section covers the DGLAP evolution equations, which enable the Q2 dependence to be calculated perturbatively using ‘splitting functions’. To give an insight into the effect of these equations, some simple numerical examples are given in the following section. The relationship between the more formal Operator Product Expansion method outlined in the previous chapter and the DGLAP approach is indicated. The last three sections comment on: higher twist; the extension of the DGLAP formalism to accommodate heavy quarks; and the extension of the DGLAP formalism to higher orders.

Keywords:   QCD, parton model, radiative corrections, infrared singularities, DGLAP evolution equations, splitting functions, coefficient functions, Operator Product Expansion, higher twist, heavy quarks

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