  The ability to differentiate chiral molecules of different handedness is of
great importance for chemical and life sciences. Since most of the relevant
chiral molecules have their chiral transitions in the UV region, detecting
their circular dichroism (CD) signal is associated with practical experimental
challenges of performing optical measurements in that spectral range. To
address this problem, here, we study the possibility of shifting CD signal of a
model chiral medium by reaching the strong coupling regime with an optical
microcavity. Specifically, we show that by strongly coupling chiral plasmonic
nanoparticles to a non-chiral Fabry-P\'erot microcavity one can imprint the
hybrid mode splitting, the hallmark of strongly coupled systems, on the CD
spectrum of the coupled system and thereby effectively shift the chiral
resonance of the model system to lower energies. We first predict the effect
using analytical transfer-matrix method as well as numerical finite-difference
time-domain (FDTD) simulations. Furthermore, we confirm the validity of
theoretical predictions in a proof-of-principle experiment involving chiral
plasmonic nanoparticles coupled to a Fabry-P\'erot microcavity.
