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Drell-Yan as an avenue to test noncommutative Standard Model at the Large Hadron Collider
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We study the Drell-Yan process at the Large Hadron Collider in presence of the noncommutative extension of standard model. Using the Seiberg-Witten map, we calculate the production cross-section to the first order in the noncommutative parameter $\Theta_{\mu\nu}$. Although this idea is evolving for long, limited amount of phenomenological analysis was done so far and dominantly in the context of linear collider. Some outstanding feature from this non-minimal noncommutative standard model not only modify the couplings over SM production channel, also allow additional nonstandard vertices which can play a significant role. Hence in the Drell-Yan process, as studied in present analysis, one also needs to account for gluon fusion process at the tree level. Some of the characteristic signatures such as oscillatory azimuthal distributions are outcome of the momentum dependent effective couplings. We explore the noncommutative scale $\Lambda_{NC} \ge 0.4~\rm{TeV}$ considering different machine energy ranging from $7~\rm{TeV}$ to $13~\rm{TeV}$.
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Top-quark pair production in electron-positron collisions within the minimal noncommutative Standard Model
Noncommutative effects up to second order in Θ induce measurable deviations in the e+e− → tt̄ total cross section, polar and azimuthal distributions, and forward-backward asymmetry at ILC and CLIC energies.
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