deletions | additions       diff --git a/eventSelection.tex b/eventSelection.tex  index 0fccb27..0dbeba4 100644  --- a/eventSelection.tex  +++ b/eventSelection.tex 
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The reconstructed trajectories (known as hypotheses) are then grouped together according to the location in the LHC where the interaction occured. This is done to prevent particles that originated in other interactions (pileup) from being considered as part of the final state. Each hypothesis is restricted to non $ee$ events with $p_T >$ 20 GeV, oppositely charged leptons, $|\eta| < 2.4$ where $\eta \equiv - \ln{\frac{\theta}{2}}$, and have a total invariant mass greater than 20 GeV. A minimum isolation is also required according to the loose working points of the combined secondary vertex (CSV-L) algorithm. \cite{Khachatryan_2014} The hypothesis with the highest combined $p_T$ bewtween the two leptons that passes these criteria is then taken to be the primary interaction at the corresponding LHC bunch crossing.   After the primary hypothesis has been found, the hadronic jets corresponding to the event are reconstructed using the anti-$k_T$ algorithm.\cite{Cacciari_2008} The jet momentum is determined as the vector sum of all particle momenta in the jet. For this analysis, the jets considered are required to be inside the tracker acceptance ($|\eta|$ < $<$  2.4) as well as a scaled $p_T > 20$ GeV. The primary jets are taken to be the two jets in the bundle which when paired with the leptons in the primary hypothesis, minimize the total invariant mass. This is done under the assumption that the most likely process to occur is the one with the smallest amount of $p_T$. Once the event jets have been reconstructed, the collection of primary hypotheses are then restricted to those events with a $p_T > 20$ GeV as well as requiring at least 2 jets to have passed the criteria above. A minimum combined invariant mass of 20 GeV as well as a minimum difference in mass between the two pairings of 100 GeV is set to prevent events containing fakes and photons to be considered in the analysis.   In order to prevent events originating from a process similar to Drell-Yan, a z-veto was added to the selection criteria by restricting events to having a combined invariant momentum that does not fall within 15 GeV of the mass of the Z-boson (approx 91 GeV).   For analysis in which the mass of the supersymmetric top was less than 700 GeV, the events were required to have an average invariant mass of the lepton/jet pair within 50 GeV of the stop mass, met <= $<=$  60 GeV and at least 1 b-tagged jets. For analyses where $m_\mathrm{stop}$ is at least 700 GeV, the b-tag requirement was increased to at least 2 such jets. For computations that try to encapsulate the behavior of the algorithms (see sect \ref{sect:background} for more information) two separate control regions were considered. The $dy$ dominated control region required to have an average mass of the lepton/jet pair < $<$  250, missing transverse energy (met) >= $>=$  60 and at least 2 of the jets reconstructed must be b-tagged according to the CSV-L algorithm. By requiring two b-tagged jets the control region is restricted to those final states which closely resemble our target decay. And the $tt$ dominated region required the same cuts with an inverted met requirement. Monte Carlo simulations of initial state samples for the target process were generated in Pythia 6 assuming a mass for the supesymmetric top at 50 GeV intervals between 200 and 800 GeV. These samples were then decayed to their final state using MadGraph5 v1.5.11.\cite{P_aczek_2013}\cite{Alwall_2011} For a description of the various background estimations, see sections \ref{sect:background} and \ref{sect:uncertainties}.