English

On the dependence of QCD splitting functions on the choice of the evolution variable

High Energy Physics - Phenomenology 2016-08-17 v1

Abstract

We show that already at the NLO level the DGLAP evolution kernel Pqq starts to depend on the choice of the evolution variable. We give an explicit example of such a variable, namely the maximum of transverse momenta of emitted partons and we identify a class of evolution variables that leave the NLO Pqq kernel unchanged with respect to the known standard MS-bar results. The kernels are calculated using a modified Curci-Furmanski-Petronzio method which is based on a direct Feynman-graphs calculation.

Keywords

Cite

@article{arxiv.1606.01238,
  title  = {On the dependence of QCD splitting functions on the choice of the evolution variable},
  author = {S. Jadach and A. Kusina and W. Placzek and M. Skrzypek},
  journal= {arXiv preprint arXiv:1606.01238},
  year   = {2016}
}

Comments

16 pages, 4 figures