  The IceCube Neutrino Observatory detects neutrinos at energies orders of
magnitude higher than those available to current accelerators. Above 40 TeV,
neutrinos traveling through the Earth will be absorbed as they interact via
charged current interactions with nuclei, creating a deficit of Earth-crossing
neutrinos detected at IceCube. The previous published results showed the cross
section to be consistent with Standard Model predictions for 1 year of IceCube
data. We present a new analysis that uses 8 years of IceCube data to fit the
$\nu_\mu$ absorption in the Earth, with statistics an order of magnitude better
than previous analyses, and with an improved treatment of systematic
uncertainties. It will measure the cross section in three energy bins that span
the range 1 TeV to 100 PeV. We will present Monte Carlo studies that
demonstrate its sensitivity.
