Connection between Scale Breaking in Deep Inelastic Processes and Large-pTHadronic Reactions

Scaling violation in deep inelastic lepton-proton processes is shown to be related to the apparent ${p_T}^{-8\mathrm{}}$ behavior of the large-$p_T$ pion inclusive distribution at $\sqrt{s}>23.5\mathrm{}$ GeV, within the framework of the quark-quark hard-collision model. Power-law scale-breaking fits of the structure functions as determined by the $\mathrm{ep}$ and $\mu p$ data are used as inputs in our calculations. Excellent agreement with the high-energy data on large-$p_T$ pions is obtained in both the energy and $x_T$ dependences. No adjustable parameters are used except for one overall normalization.