Magnet alignment tolerances in the SLC final focus system determined by Lie algebra techniques

Using Lie algebra techniques, static alignment tolerances are derived for all quadrupole and sextupole magnets in the 1994 SLC final focus. Three different effects are identified which limit the tolerable quadrupole misalignment. The largest amplitude of an offset-compensating closed orbit bump and the maximum allowed displacement between beam orbit and magnet center are evaluated for each sextupole. Multiparticle tracking supplements and confirms the analytical results.