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In the case of no multiple scattering,
the momentum resolution for a tracking detector with
(n+1) equally spaced sampling points is given by
We plotted in Fig.3.1-a)
as a function of lever arm length for different numbers of
Notice that we set and there to ease the
conversion to different B or values: is
inversely proportional to B, while it is proportional to .
The multiple scattering in the tracking volume
adds given by Eq.3.2.56
to the above measurement error in quardrature
Fig.3.1-b) shows as
a function of the lever arm length for different values of
material thickness in the tracking device.
(a) The reciprocal transverse momentum resolution as a function of
lever arm length for , , and . (b) The multiple scattering contribution as a function of lever arm
length for and .