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We present the results of searches for large extra dimensions in samples of events with large missing transverse energy and either a photon or a jet produced in p-pbar collisions at sqrt(s) = 1.96 TeV collected with the CDF II detector.
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Jets are reconstructed over the full pseudorapidity coverage of the calorimeters ( | η | < |\eta|< 3.6) using a fixed cone algorithm and cone sizes Δ R = ( Δ ϕ ) 2 + ( Δ η ) 2 \Delta R=\sqrt{(\Delta\phi)^{2}+(\Delta\eta)^{2}} of 0.4 and 0.7 for γ \gamma + E / T E\!\!\!\!/_{\rm T}
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We use a coordinate system where θ \theta is the polar angle to the proton beam, ϕ \phi is the azimuthal angle about the beam axis, and η \eta is the pseudorapidity defined as − ln tan ( θ / 2 ) -{\rm ln~tan}(\theta/2) . Missing transverse energy E / T E\!\!\!\!/_{\rm T}
Cited in the paper.
We use a Relevance Vector Machine (RVM) trained on data to distinguish between collision and cosmic photon candidates (see C.C. Chang and C.J. Lin, “LIBSVM : A Library for Support Vector Machines” found at http://www.csie.ntu.edu.tw/ ∼ \sim cjlin/libsvm)
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