Formulation of muon range 0-100 TeV and transmission through lead

Muons can penetrate long distances into matter and are less susceptible to radiate effects as compared to electrons. Over a broad energy range, the dominant energy loss is due to ionization mechanism. This makes the shielding of muons and the knowledge of their range considerably important at high-energy accelerators and in other high energy applications. In the present paper, the muon range R(E) from 0-1 GeV in lead is obtained by using muon range data which were generated by SRIM 2012.03 code. For muon energy versus traveled distance E(X), an analytical formula is extracted by a fitting procedure by the aid of Origin 8.0 and Find Graph software. For extracting the values of R(E) in the range 0-100 TeV and E(X) for less than 100 TeV using the current method faced a limitation. This limitation is due to maximum SRIM energy input card which is 1GeV, so the SRIM range data are used for less than 1 GeV and the GROOM range data for above 1 GeV. In the present paper, the muon energy is calculated using this technique at energy less than 100 TeV for arbitrary traveled distance. (author)