Abstract

An approximate method is used to investigate the effects of parton transverse momentum in large p T particle production within the framework of hard scattering models. We derive an approximate expression for the mean bias towards the trigger of each of the two participating partons and find that event one of the partons is biased more than the other, even with a 90° trigger. We treat the transverse momentum of partons and their closely related off-mass-shell behaviour as a perturbation in the equation for the single-particle inclusive cross section, and then expand in a Taylor series. We calculate the first non-zero correction term and find that to this order, the cross section is increased by parton transverse momentum effects by typically a factor of 1.7 for p T = 3 GeV/c with 〈 k T〉 = 500 MeV/c, or 1.25 for p T = 3 GeV/c with 〈 k T〉 = 300 MeV/c, and that the correction decreases rapidly with increasing p T.

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