$e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering in the Noncommutative standard model

Abstract

We study muon pair production $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ in the noncommutative(NC) extension of the standard model using the Seiberg-Witten maps of this to the second order of the noncommutative parameter ${\Theta }_{\mu \nu }$. Using $\mathcal{O}({\Theta }^2)$ Feynman rules, we find the $\mathcal{O}({\Theta }^4)$ cross section(with all other lower order contributions simply cancelled) for the pair production. The momentum dependent $\mathcal{O}({\Theta }^2)$ NC interaction significantly modifies the cross section and angular distributions which are different from the commuting standard model. We study the collider signatures of the space-time noncommutativity at the International Linear Collider(ILC) and find that the process $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ can probe the NC scale $\Lambda$ in the range $0.8-1.0$ TeV for typical ILC energy ranges.

13 pages, 5 figures

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Cited by in corpus (11)

• Probing noncommutative theories with quantum optical experiments
• TeV Scale Phenomenology of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ Scattering in the Noncommutative Standard Model with Hybrid Gauge Transformation
• Drell-Yan as an avenue to test noncommutative Standard Model at the Large Hadron Collider
• Higgsstrahlung and pair production in $e^{+}{e}^{-}$ collision in the noncommutative standard model
• Bound on Noncommutative Standard Model with Hybrid Gauge Transformation via Lepton Flavor Conserving $Z$ Decay
• Neutral Higgs boson pair production at the LC in the Noncommutative Standard Model
• Search for associated production of Higgs with Z boson in the noncommutative Standard Model at linear colliders
• Higgs production in $e^{-}{e}^{+}$ collisions as a probe of noncommutativity
• Quantum Entanglement of Fermions- Antifermions Pair Creation modes in Non-commutative Bianchi I Space-time
• Laboratory frame analysis of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering in the Noncommutative Standard Model
• $\mathcal{O}(\theta )$ Feynman rules for quadrilinear gauge boson couplings in noncommutative standard model