It is widely accepted that the next lepton collider beyond a
Higgs factory would require center-of-mass energy of the order of up
to 15 TeV. Since, given reasonable space and cost restrictions,
conventional accelerator technology reaches its limits near this
energy, high-gradient advanced acceleration concepts are
attractive. Advanced and novel accelerators (ANAs) are leading
candidates due to their ability to produce acceleration gradients on
the order of 1–100 GV/m, leading to compact acceleration
facilities. However, intermediate energy facilities (IEF) are
required to test the critical technology elements on the way towards
multi-TeV-class collliders. Here a science case for a 20–100 GeV
center-of-mass energy ANA-based lepton collider that can be a
candidate for an intermediate energy facility is presented. The IEF
can provide numerous opportunities for high energy physics studies
including precision Quantum Chromodynamics and Beyond the Standard
Model physics measurements, investigation of charged particle
interactions with extreme electromagnetic fields, and exploring muon
and proton beam acceleration. Possible applications of this collider
include the studies of γγ and electron beam-fixed
target/beamdump collider designs. Thus, the goal of the proposed IEF
is to both carry out particle physics measurements in the
20-100 GeV ranges as well as to serve as an ANA demonstrator
facility.