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The vertical rms spot sizes at the interaction point of linear colliders
are in the 1 nm to 5 nm range at beam energies from 0.25 TeV to 1.5 TeV.
Numerical tracking of particles through the magnetic focusing systems is
used for the design and the performance prediction of the magnetic systems.
In view of the small spot sizes and the high beam energies, it is important
that the numerical codes include a careful treatment of the chromatic magnet properties and an accurate modeling of synchrotron radiation.
Significant differences in the results of various codes have been observed and some fixes have been applied. In order to establish a
basis for future simulations, we compare the results of various tracking
and modeling codes for identical input.
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