Hi Frank,
my original statement was
that the BPM centres w.r.t.
to the geometric quadrupole centres
would be known better than 1 mm. If one would naively steer on these offsets
the peak-to-peak orbit would be not larger than that.
The LEP based 4 mm peak-to-peak
are good design values and useful for defining the maximum tolerable magnetic
field errors but a maybe too "worst case" scenario.
I had another
iteration with Rhodri and he confirms that the geometric plus electric
errors are even well below 500 um. The geometric error is about 100 um r.m.s. and ultimately limited to be less than 500 um by mechanical constraints of
fitting the BPMs onto the cold quadrupoles.
To my knowledge, the LEP BPMs were not mounted to the
quadrupoles which will be hopefully beneficial for
LHC operation. Rhodri further estimates that the electric offset is about 200
um. In addition to that -- though the
total global alignment accuracy is targeted to be better than 200 um r.m.s. --
the quadrupole-to-quadrupole
misalignment is expected to be less than about 100 um.
Provided that there are not
single large alignment errors, it is reasonable to assume that the orbit can be
steered (if required) at least better than 1 mm peak-to-peak without rigorous
beam-based alignment which is much better than the quoted 4 mm.
Cheers,
Ralph
Email from Ralph Steinhagen from 11/06/2007 with cc to Rhodri Jones