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Models of Maximal Flavor Violation (MxFV) in elementary particle physics may contain at least one new scalar SU$(2)$ doublet field $\Phi_{FV} = (\eta^0,\eta^+)$ that couples the first and third generation quarks ($q_1,q_3$) via a Lagrangian term $\mathcal{L}_{FV} = \xi_{13} \Phi_{FV} q_1 q_3$.
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Missing transverse energy, E T {\not\!\!E_{T}} , is defined as the magnitude of the vector − ∑ i E T i n → i -\sum_{i}E_{T}^{i}\vec{n}_{i} where E T i E_{T}^{i} are the magnitudes of transverse energy contained in each calorimeter tower i i , and n → i \vec{n}_{i} is the unit vector from the interaction vertex to the tower in the transverse ( x , y x,y ) plane. E T {\not\!\!E_{T}} is further corrected for the energy of identified muons
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CDF uses a cylindrical coordinate system with the z z axis along the proton beam axis. Pseudorapidity is η ≡ − ln ( tan ( θ / 2 ) ) \eta\equiv-\ln(\tan(\theta/2)) , where θ \theta is the polar angle, and ϕ \phi is the azimuthal angle relative to the proton beam direction, while p T = | p | sin θ p_{T}=|p|\ \sin\theta , E T = E sin θ E_{T}=E\ \sin\theta
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A lepton is isolated if the total E T E_{T} within a cone Δ R = ( Δ η ) 2 + ( Δ ϕ ) 2 ≤ 0.4 \Delta R=\sqrt{(\Delta\eta)^{2}+(\Delta\phi)^{2}}\leq 0.4 , minus the lepton E T E_{T} is < 10 <10 % of the lepton E T E_{T}
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