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The expression "multiple parton interactions" (MPI) denotes a conjectured QCDmechanism representing contributions from secondary (semi)hard partonscattering to the transverse azimuth region (TR) of jet-triggered p-pcollisions. MPI is an object of underlying-event (UE) studies that considervariation of TR $n_{ch}$ or $p_t$ yields relative to a trigger condition(leading hadron or jet $p_t$). An alternative approach is 2D trigger-associated(TA) correlations on hadron transverse momentum $p_t$ or rapidity $y_t$ inwhich all hadrons from all p-p events are included. Based on a two-component(soft+hard) model (TCM) of TA correlations a jet-related TA hard component isisolated. Contributions to the hard component from the triggered dijet and fromsecondary dijets (MPI) can be distinguished, including their azimuth dependencerelative to the trigger direction. Measured $e^+$-$e^-$ and p-\=p fragmentationfunctions and a minimum-bias jet spectrum from 200 GeV p-\=p collisions areconvoluted to predict the 2D hard component of TA correlations as a function ofp-p collision multiplicity. The agreement between QCD predictions and TAcorrelation data is quantitative, confirming a dijet interpretation for the TCMhard component. The TA azimuth dependence is inconsistent with conventional UEassumptions.

QCD prediction of jet structure in 2D trigger-associated momentum correlations and implications for multiple parton interactions