CERN Program Library Long Writeup W5013 - CERNLIB ...

The accuracy of the fit can be estimated as:
∆σ
σ
∆E brem
loss
E brem
loss
=
=
{
10 − 12% if T ≤ 5 GeV
≤ 4% if T>5 GeV
{
10% if T ≤ 5 GeV
≤ 3% if T>5 GeV
The contribution of the bremsstrahlung to the total energy loss of the muons is less than 1% for T ≤ 5 GeV.
When k c ≥ k max , a parameterisation different from (3) can be used for the total muon energy loss due to
bremsstrahlung:
Eloss brem (Z, T ) = Eloss brem (Z, T, k = k max )
= Z(Z +1)k max [d 1 +(d 2 X + d 3 Y )+(d 4 X 2 + d 5 XY + d 6 Y 2 )
+ ···+(d 22 X 6 + d 23 X 5 Y + ···+ d 28 Y 6 )] (4)
where Y = Z 1/3 . The accuracy of the formula (4) for 1 ≤ Z ≤ 100 is rather good:
∆E brem
loss
E brem
loss
=
{
≤ 1.5% if T>1 GeV
≤ 1% if T>5 GeV
310 PHYS440 – 3