Final state dipole showers and the DGLAP equation

Details Final state dipole showers and the DGLAP equation Final state dipole showers and the DGLAP equation

2009-01-23

arxiv.org/abs/0901.3587v2

JHEP 0905:088,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages with 6 figures. This is the revised version, close to what will be published in JHEP. The main changes were additiona

Scientific paper

10.1088/1126-6708/2009/05/088

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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