Measurement of TeV muon energy loss in iron

We measure the energy loss of high-energy muons (up to 1 TeV) from cosmic-ray muons incident on the iron-scintillator calorimeter of the Chicago-Columbia-Fermilab-Rochester Collaboration (Lab E) neutrino detector at Fermilab. Measurements of the differential energy loss spectra in Fe and the average $\frac{\mathrm{dE}}{\mathrm{dx}}$ energy loss in Fe are presented as functions of muon energy and are compared against calculations. There is reasonable agreement between the measurements and calculations except in the region of small energy losses (under a few GeV) for 1-TeV muons, where the measurement is about 30% lower than the calculation. This level of agreement with theory implies that reliable simulations of the performance of muon detectors for future TeV colliders can be done.