Precise measurement of the energy loss spectrum of 180 GeV muons in the iron absorber of the TILECAL Module 0

The energy loss spectrum of 180 GeV muons has been measured with the setup of the Module 0 and prototypes of the ATLAS hadron calorimeter in the H8 beam of the CERN SPS. The differential probability ${\rm {d}}P/{\rm {d}}v$ per radiation length of a fractional energy loss $v = \Delta E_{\mu} / E_{\mu}$ has been measured in the range $v$ = 0.025 $\div$ 1.00; it is compared with the theoretical predictions for energy losses due to bremsstrahlung and production of electron--positron pairs or of energetic knock-on electrons. The iron elastic form factor correction $\Delta_{el}^{Fe} = 1.68 \pm 0.17_{stat} \pm 0.23_{syst} \pm 0.19_{theor}$ to muon bremsstrahlung has been measured for the first time and it is compared with different theoretical predictions. \\