Magnitude of large-transverse-momentum cross sections

Abstract

Consistent values for the fundamental dimensional coupling constants of hadrons to their valence quarks are determined from large-momentum-transfer elastic scattering, photoproduction, form factors, and momentum distributions. We then show that the constituent-interchange-model hard-scattering subprocesses $M_q\to M_q$ and $B_q\to B_q$ (and their crossing variants) are of sufficient magnitude to account for the normalization as well as the kinematic behavior in $p_T$, angle, and $s$ of single-particle large-transverse-momentum inclusive cross sections. The crossover point where $p_T^{}{}_{}{}^{-4\mathrm{}}$ scale-invariant $\mathrm{qq}\to \mathrm{qq}$ and gluon terms may dominate the cross section is computed. Jet cross sections and charge correlations are also discussed. We also give analytic formulas for inclusive cross sections in general hard-scattering models. Spectator and dimensional-counting rules are given which determine the scaling behavior in $p_T$, $\epsilon =\frac{{\mathfrak{M}}^2}{s}$, and ${\theta }_{c.m}$.