  Dynamical scanning of the Higgs mass by an axion-like particle during
inflation may provide a cosmological component to explaining part of the
hierarchy problem. We propose a novel interplay of this cosmological relaxation
mechanism with inflation, whereby the backreaction of the Higgs vacuum
expectation value near the weak scale causes inflation to end. As Hubble drops,
the relaxion's dissipative friction increases relative to Hubble and slows it
down enough to be trapped by the barriers of its periodic potential. Such a
scenario raises the natural cut-off of the theory up to $\sim 10^{10}$ GeV,
while maintaining a minimal relaxion sector without having to introduce
additional scanning scalars or new physics coincidentally close to the weak
scale.
