Abstract
We consider in QCD the second-order, in gluon-quark coupling constant, contribution of quark-quark scattering (bremsstrahlung) to the transverse momentum distribution of muon pairs produced in proton-proton collisions. In certain kinematical regions accessible to experimental tests, this contribution is quite large in comparison with the first-order calculations. This happens for a specific choice of scale-violating structure functions which fit the deep inelastic data. Thus, the first-order QCD calculation alone is not conclusive in trying to fit the data; one must necessarily check the effect of second-order quark-quark scattering as compared with first-order quark-gluon and the quark-antiquark scattering. This remark also concerns the case where the effect of primordial transverse momentum of partons is included in the first-order diagrams as well as the case where the first order is replaced by a DDT type of formulae. Mass regularization and different prescriptions for the constant term in the q→g+q vertex are considered. Results are presented for energies √ s=6.5, 27, 63, 800 GeV and are compared with experiment. Implications of these results for the detection of W ± mesons via the p T distribution of their decay products μ ± in proton-proton collisions are mentioned.
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