  Dihadron and isolated direct photon-hadron angular correlations are measured
in $p$$+$$p$ collisions at $\sqrt{s}=200$ GeV. The correlations are sensitive
to nonperturbative initial-state and final-state transverse momentum $k_T$ and
$j_T$ in the azimuthal nearly back-to-back region $\Delta\phi\sim\pi$. In this
region, transverse-momentum-dependent evolution can be studied when several
different hard scales are measured. To have sensitivity to small transverse
momentum scales, nonperturbative momentum widths of $p_{\rm out}$, the
out-of-plane transverse momentum component perpendicular to the trigger
particle, are measured. These widths are used to investigate possible effects
from transverse-momentum-dependent factorization breaking. When accounting for
the longitudinal momentum fraction of the away-side hadron with respect to the
near-side trigger particle, the widths are found to increase with the hard
scale; this is qualitatively similar to the observed behavior in Drell-Yan and
semi-inclusive deep-inelastic scattering interactions. The momentum widths are
also studied as a function of center-of-mass energy by comparing to previous
measurements at $\sqrt{s}=510$ GeV. The nonperturbative jet widths also appear
to increase with $\sqrt{s}$ at a similar $x_T$, which is qualitatively
consistent to similar measurements in Drell-Yan interactions. To quantify the
magnitude of any transverse-momentum-dependent factorization breaking effects,
calculations will need to be performed to compare to these measurements.
