Noncommutative QED corrections to e^+e^-\toγγγat linear collider energies

Abstract

We compute the total cross section as well as angular and energy distributions for process $e^{+}{e}^{-}\to \gamma \gamma \gamma$ with both unpolarized and polarized beams in the framework of noncommutative quantum electrodynamics (NCQED). The calculation is performed in the center of mass of colliding electron and positron and is evaluated for energies and integrated luminosities appropriate to future linear colliders. We find that by using unpolarized beams it is possible to probe the Lorentz symmetry violating azimuthal dependence of the cross section. Furthermore, with polarized beams the left-right asymmetry of the CP violating NCQED amplitudes can be used to obtain bounds on the noncommutative scale ${\Lambda }_{NC}$ which exceed 1.0 TeV.

version accepted by Physical Review

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• Photon Neutrino Scattering in Non-Commutative Space
• Lorentz Conserving Noncommutative Standard Model
• Spin Hall effect on a noncommutative space
• Massive Neutrino in Non-commutative Space-time
• Dispersion Relations in Noncommutative Theories
• Hydrogen and muonic-Hydrogen Atomic Spectra in Non-commutative Space-Time
• Higgsstrahlung and pair production in $e^{+}{e}^{-}$ collision in the noncommutative standard model
• Higgs Couplings in NonCommutative Standard Model
• Towards Noncommutative Fuzzy QED
• Signatures of HyperCharge Axions at Contemporary and Future Colliders