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Final state dipole showers and the DGLAP equation

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arxiv 0901.3587 v2 pith:VPPSRASB submitted 2009-01-23 hep-ph

classification hep-ph
keywords showerequationevolutiondglapdipoledistributionenergyquark
verification ladder T0 review T1 audit T2 compute T3 formal
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We study a parton shower description, based on a dipole picture, of the final state in electron-positron annihilation. In such a shower, the distribution function describing the inclusive probability to find a quark with a given energy depends on the shower evolution time. Starting from the exclusive evolution equation for the shower, we derive an equation for the evolution of the inclusive quark energy distribution in the limit of strong ordering in shower evolution time of the successive parton splittings. We find that, as expected, this is the DGLAP equation. This paper is a response to a recent paper of Dokshitzer and Marchesini that raised troubling issues about whether a dipole based shower could give the DGLAP equation for the quark energy distribution.

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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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