Search for Pair Production of Supersymmetric Top Quarks in Dilepton Events from $p\bar{p}$ Collisions at $\sqrt{s}$ = 1.96 TeV

CDF uses a cylindrical coordinate system with the z z axis along the proton beam axis. θ \theta is the polar angle relative to the proton beam direction, and ϕ \phi is the azimuthal angle. Pseudorapidity is defined as η ≡ − ln ⁡ ( tan ⁡ θ 2 ) \eta\equiv-\ln(\tan\frac{\theta}{2}) , while transverse momenta and energies of particles are defined as p T = | p | ​ sin ⁡ θ p_{T}=|p|\sin\theta and E T = E ​ sin ⁡ θ E_{T}=E\sin\theta respectively

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The missing transverse energy is defined as / E T = | / E → T | = | − ∑ i E T i n i → | \,/\!\!\!\!E_{T}=|\vec{\,/\!\!\!\!E}_{T}|=|-\sum_{i}E_{T}^{i}\vec{n_{i}}| where n → i \vec{n}_{i} is a unit vector in the plane transverse to the beam direction and that points from the event vertex to the i i -th calorimeter tower. The missing transverse energy is corrected for the escaping muon momenta when muon candidates are present

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The lepton is defined as isolated, if the energy deposit within R = 0.4 R=0.4 cone of the lepton momentum p T p_{T} is less than 10% of the lepton p T p_{T}

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The missing transverse energy significance is defined as / E T s ​ i ​ g = / E T / ∑ E T \,/\!\!\!\!E_{T}^{sig}=\,/\!\!\!\!E_{T}/\sqrt{\sum E_{T}} , where ∑ E T \sum E_{T} is the scalar transverse energy sum over all calorimeter towers. ∑ E T \sum E_{T} is corrected in an identical manner to the / E T \,/\!\!\!\!E_{T}

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