  A new framework, called x-scape, for the combined study of both hard and soft
transverse momentum sectors in high energy proton-proton ($p$-$p$) and
proton-nucleus ($p$-$A$) collisions is set up. A dynamical initial state is set
up using the 3d-Glauber model with transverse locations of hotspots within each
incoming nucleon. A hard scattering that emanates from two colliding hotspots
is carried out using the Pythia generator. Initial state radiation from the
incoming hard partons is carried out in a new module called I-matter, which
includes the longitudinal location of initial splits. The energy-momentum of
both the initial hard partons and their associated beam remnants is removed
from the hot spots, depleting the energy-momentum available for the formation
of the bulk medium. Outgoing showers are simulated using the matter generator,
and results are presented for both cases, allowing for and not allowing for
energy loss. First comparisons between this hard-soft model and single
inclusive hadron and jet data from $p$-$p$ and minimum bias $p$-$Pb$ collisions
are presented. Single hadron spectra in $p$-$p$ are used to carry out a limited
(in number of parameters) Bayesian calibration of the model. Fair comparisons
with data are indicative of the utility of this new framework. Theoretical
studies of the correlation between jet $p_T$ and event activity at mid and
forward rapidity are carried out.
