Higgsstrahlung and pair production in $e^{+}{e}^{-}$ collision in the noncommutative standard model

Abstract

The higgsstrahlung process $e^{+}{e}^{-}\to ZH$ and pair production process $e^{+}{e}^{-}\to HH$ are studied in the framework of the minimal noncommutative (NC) standard model. In particular, the Feynman rules involving all orders of the noncommutative parameter $\theta$ are derived using reclusive formation of Seiberg-Witten map. It is shown that the total cross section and angular distribution can be significantly affected because of spacetime noncommutativity when the collision energy exceeds to 1 \tev. It is found that in each process, there is an optimal collision energy ($E_{oc}$) for achieving the greatest noncommutative effect, and $E_{oc}$ varies linearly with the NC scale ${\Lambda }_{NC}$. A brief discussion on the process $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ is also given.

21 pages,15 figures

References in corpus (12)

• Improved Z -> gamma gamma decay in the renormalizable gauge sector of the noncommutative standard model
• The one-loop renormalization of the gauge sector in the noncommutative standard model
• The Noncommutative Standard Model at O(theta^2)
• Seiberg--Witten Maps to All Orders
• Spacetime noncommutativity and ultra-high energy cosmic ray experiments
• Non-commutative SU(N) gauge theories and asymptotic freedom
• The absence of the 4$\psi$ divergence in noncommutative chiral models
• Chiral fermions in noncommutative electrodynamics: renormalizability and dispersion
• Noncommutative fermions and quarkonia decays
• Möller and Bhabha scattering in the noncommutative standard model
• $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering in the Noncommutative standard model
• Neutral Higgs boson pair production at the LC in the Noncommutative Standard Model

Cited by in corpus (12)

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• Hydrogen and muonic-Hydrogen Atomic Spectra in Non-commutative Space-Time
• Bound on Noncommutative Standard Model with Hybrid Gauge Transformation via Lepton Flavor Conserving $Z$ Decay
• Probing Noncommutativities of Phase Space by Using Persistent Charged Current and Its Asymmetry
• Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders
• The hybrid Seiberg-Witten map, its $\theta$-exact expansion and the antifield formalism
• Higgs Couplings in NonCommutative Standard Model
• Noncommutative Dirac quantization condition using the Seiberg-Witten map
• Higgs production in $e^{-}{e}^{+}$ collisions as a probe of noncommutativity
• Search for associated production of Higgs with Z boson in the noncommutative Standard Model at linear colliders
• Quantum Entanglement of Fermions- Antifermions Pair Creation modes in Non-commutative Bianchi I Space-time