  We reproduce the distribution of the longitudinal and transverse components
of momenta of charged hadrons stemming from jets created in proton-proton
collisions at s^1/2 = 7 TeV by a statistical fragmentation model. Our
hadronization model is based on microcanonical statistics and negative binomial
multiplicity fluctuations. We describe the scale dependence of the fit
parameters of the model with formulas obtained by approximating the exact
solution of the DGLAP equation in the phi^3 theory with leading order splitting
function and 1-loop coupling.
