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Some remarks on dipole showers and the DGLAP equation

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arxiv 0903.2150 v2 pith:KPWTVXTJ submitted 2009-03-12 hep-ph

classification hep-ph
keywords dglapequationshowersdipoleevolutionarguedassumptionasymptotic
verification ladder T0 review T1 audit T2 compute T3 formal
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It has been argued recently that parton showers based on colour dipoles conflict with collinear factorization and do not lead to the correct DGLAP equation. We show that this conclusion is based on an inappropriate assumption, namely the choice of the gluon energy as evolution variable. We further show numerically that Monte Carlo programs based on dipole showers with "infrared sensible" evolution variables reproduce the DGLAP equation both in asymptotic form as well as in comparison to the leading behaviour of second-order QCD matrix elements.

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Cited by 1 Pith paper

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  1. Sudakov evolution without unitarity

    hep-ph 2025-06 accept novelty 7.0 of 10

    Sunshine removes Sudakov factors from parton-shower sampling by keeping every intermediate state, giving direct tree-level expansions and enabling tests of matrix-element corrections.

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