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PHENIX has measured the azimuthal correlations of muon pairs from charm andbottom semi-leptonic decays in $p$+$p$ collisions at $\sqrt{s}=200$ GeV, usinga novel analysis technique utilizing both unlike- and like-sign muon pairs toseparate charm, bottom and Drell-Yan contributions. The dimuon measurementscombined with the previous electron-muon and dielectron measurements span awide range in rapidity, and are well described by PYTHIA Tune A. Through aBayesian analysis based on PYTHIA Tune A, we show that leading order paircreation is the dominant $(76\%\pm^{14}_{19}\%)$ contribution for $b\bar{b}$production, whereas the data favor the scenario in which next-to-leading-orderprocesses dominate $c\bar{c}$ production. The small contribution ofnext-to-leading-order processes in $b\bar{b}$ production at the collisionenergies of the Relativistic Heavy Ion Collider contrasts with the case atLarge-Hadron-Collider energies, where next-to-leading-order processes areexpected to dominate.

Correlations of $\mu\mu$, $e\mu$, and $ee$ pairs in $p$+$p$ collisions  at $\sqrt{s}=200$ GeV and implications for $c\bar{c}$ and $b\bar{b}$  production mechanisms