Supersymmetric QCD and high energy cosmic rays:: Fragmentation functions of supersymmetric QCD -: art. no. 075001

The supersymmetric evolution of the fragmentation functions (or timelike evolution) within N=1 QCD is discussed and predictions for the fragmentation functions of the theory (into final protons) are given. We use a backward running of the supersymmetric DGLAP equations, using a method developed in previous works. We start from the usual QCD parametrizations at low energy and run the DGLAP back, up to an intermediate scale-assumed to be supersymmetric-where we switch-on supersymmetry. From there on we assume the applicability of an N=1 supersymmetric evolution (ESAP). We elaborate on the possible application of these results to high energy cosmic rays near the GZK cutoff.