Some remarks on dipole showers and the DGLAP equation

Journal Article · Sun Mar 01 00:00:00 EST 2009 · Phys.Rev.D

DOI:https://doi.org/10.1103/PhysRevD.79.074021· OSTI ID:3020068

Skands, Peter Z. ^[1]; Weinzierl, Stefan ^[2]

---

1. Fermilab
2. Mainz U., Inst. Phys.

In a recent paper Dokshitzer and Marchesini argue that parton showers based on colour dipoles conflict with collinear factorization and do not lead to the correct DGLAP equation. We show that their conclusion is a consequence of an inappropriate assumption they make, 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.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Mainz U., Inst. Phys.
• Sponsoring Organization: US Department of Energy
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 3020068
• Report Number(s): FERMILAB-PUB-09-035-T; MCNET-09-05; MZ-TH-09-07; oai:inspirehep.net:815330; arXiv:0903.2150
• Journal Information: Phys.Rev.D, Journal Name: Phys.Rev.D Vol. 79
• Country of Publication: United States
• Language: English