The broadband impedance model I am using here is described in more
detail in [3], and is taken exactly from there
(including average 
-functions). Note that what I am calling
``broadband impedance,'' Ruggiero [3] describes
under the categories of space charge impedance, broad-band resonators,
low-frequency impedance, beam screen, and pumping slots. I am
categorizing as broadband impedance anything which has roughly the
same effect on every multibunch mode; a narrow-band impedance would
affect the various multibunch modes differently. Finally, note that
for the imaginary parts of quantities, Ruggiero's j is the negative
of my i.
The total transverse broadband impedance weighted by the function is
plotted in Fig. 1.
Figure: Total transverse broadband impedance for the LHC at
injection as described in Sec. 2.1.
The contributions to this total impedance are described in the subsections that follow.