The effective theory of quantum gravity coupled to models of
particle physics is being probed by cutting edge experiments in
both high energy physics (searches for extra dimensions) and
cosmology (testing models of inflation). This thesis derives new
bounds that may be placed on these models both theoretically and
experimentally. In models of extra dimensions, the internal
consistency of the theories at high energies are investigated via
perturbative unitarity bounds. Similarly it is shown that recent
models of Higgs inflation suffer from a breakdown of perturbative
unitarity during the inflationary period. In addition, the thesis
uses the latest LHC data to derive the first ever experimental
bound on the size of the Higgs boson's non-minimal coupling to
gravity.
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