Nonperturbative-transverse-momentum effects and evolution in dihadron and direct photon-hadron angular correlations in p + p collisions at $\sqrt{s}$ = 510 GeV
Dihadron and isolated direct photon-hadron angular correlations are measured in p + p collisions at $\sqrt{s}$=510 GeV. Correlations of charged hadrons of 0.7 < p T < 10 GeV/c with $\pi$ 0 mesons of 4 < p T < 15 GeV/c or isolated direct photons of 7 < p T < 15 GeV/c are used to study nonperturbative effects generated by initial-state partonic transverse momentum and final-state transverse momentum from fragmentation. The nonperturbative behavior is characterized by measuring the out-of-plane transverse momentum component p out perpendicular to the axis of the trigger particle, which is the high-p T direct photon or $\pi$ 0 . Nonperturbative evolution effects are extracted from Gaussian fits to the away-side inclusive-charged-hadron yields for different trigger-particle transverse momenta ($p^{trig}_{T}$). The Gaussian widths and root mean square of p out are reported as a function of the interaction hard scale $p^{trig}_{T}$ to investigate possible transverse-momentum-dependent evolution differences between the $\pi$ 0 -h ± and direct photon-h ± correlations and factorization breaking effects. The widths are found to decrease with $p^{trig}_{T}$, which indicates that the Collins-Soper-Sterman soft factor is not driving the evolution with the hard scale in nearly back-to-back dihadron and direct photon-hadron production in p + p collisions. In conclusion, this behavior is in contrast to Drell-Yan and semi-inclusive deep-inelastic scattering measurements.