Improving our ability to identify the top quark pair ($t\b ar{t}$) primary vertex (PV) on an event-by-event basis is essentia l for many analyses in the lepton-plus-jets channel performed by the Collider Detector at Fermilab (CDF) Collaboration. We comp are the algorithm currently used by CDF (A1) with another algorith m (A2)using Monte Carlo simulation at high instantaneous luminos ities. We confirm that A1 is more efficient than A2 at selecting the $t\bar{t}$ PV at all PV multiplicities, both with efficien cies larger than $99\%$. Event selection rejects events with a distance larger than 5 cm along the proton beam between the the $t\ bar{t}$ PV and the charged lepton. We find flat distributions for the signal over background significance of this cut for all cu t values larger than 1 cm, for all PV multiplicities and for both algorithms. We conclude that any cut value larger than 1 c m is acceptable for both algorithms under the Tevatron's expect ed instantaneous luminosity improvements. Posted to /cdf/pub/thesis/cdf8683_highlumiPVtopselect.pdf http://www-cdf.fnal.gov/thesis/cdf8683_highlumiPVtopselect.pdf Posted by abuzatu