Abstract : In this note we present the results of the study performed at IFJ PAN in Krakow in the
context of the parton-shower-related research which suggests that QCD splitting function depends
on the type of physical evolution variable. We sketch a method of including NLO corrections
into a cascade (ladder) of a parton shower (PS). The method is based on the Curci-Furmanski-
Petronzio classical paper and matching between PS and NLO distributions obtained from the
Feynman diagrams. We note that one does not reproduce the classical CFP NLO kernels if the
kT ordering is used for the calculation. This seems to be a limitation of the de nition of the CFP
procedure and requires further investigation.
S. Jadach, A. Kusina, W. Placzek, M. Skrzypek. QCD splitting-function dependence on evolution variable. Parton Radiation and Fargmentation from LHC to FCC-ee, Nov 2016, Geneva, Switzerland. pp.122-127. ⟨in2p3-01461987⟩
