Influence of luminosity leveling on the CDF-II B-Physics program Page: 3 of 13
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2.2 Luminosity Profile
The instantaneous luminosity as a function of time throughout a typical store is
parameterized by the function
C(t) = CO (f e-/T + (1 - f)e-/ T) (1)
where O is the initial luminosity, obtained from Table 1, while f = 0.38, r1 =
3.8 hours and r2 = 23.0 hours are parameters that have been determined from the
luminosity profile of past Tevatron stores.
The luminosity integrated over a store of duration T is then
J T t = O (rif (1 - e-T/") + r2(1 - f)(1 - e-T/)) (2)
from which the integrated luminosity per week is calculated, in conjunction with the
store duration and the number of store hours per week. This calculation yields weekly
integrated luminosities that are in good agreement with those listed in Table 1: 12.1,
16.8 and 38.3 pb-1 in years 2005-2007 and 56.3 pb-1 in 2008 and 2009.
In the study of luminosity leveling, we assume the most optimistic scenario possi-
ble, whereby the instantaneous luminosity is held constant at a value = (f Ldt)/T
which yields the same luminosity integrated per store of the same duration. In prac-
tice, the integrated luminosity with luminosity leveling would probably be lower than
this and operation of the Tevatron in this way may also have a negative impact on
the quality of the data recorded by CDF. Nevertheless, we use only this simple model
to place an upper limit on the B,? yield obtained with luminosity leveling.
2.3 High PT Trigger Rate
We have considered three possible scenarios to estimate the level 1 trigger bandwidth
that will be devoted to the study of high PT processes as follows:
* Jet and electromagnetic triggers only
* As above but also including muon and di-electron triggers
* As above but also including di-tau triggers.
The effective trigger cross sections for these three scenarios and the resulting level
1 trigger rates are shown in Figure 1. These cross sections were determined from
parameterizations made by XMON and take into account the overlap between jet
and electromagnetic triggers. The second scenario provides triggers used for the
SUSY di-lepton program. The remaining level 1 triggers either contribute little to
the total rate, overlap with the high PT scenarios studied here, or are of the class of
high rate track triggers that is the subject of this note.3
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Jones, Matthew & Lewis, Jonathan. Influence of luminosity leveling on the CDF-II B-Physics program, report, May 1, 2005; Batavia, Illinois. (https://digital.library.unt.edu/ark:/67531/metadc876683/m1/3/: accessed March 29, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.