engleski

Seiberg-Witten map invariant scatterings

We investigate scattering amplitudes of the reversible θ-exact Seiberg-Witten map-based noncommutative (NC) quantum electrodynamics and show explicitly the SW map invariance for all types of tree-level NCQED two-by-two processes, including Møller, Bhabha, Compton, pair annihilation, pair production, and light-by- light (LbyL: γγ→γγ) scatterings. We apply our NCQED results to the γγ→γγ and γγ→ℓ+ℓ− exclusive channels, convoluted to the ultraperipheral lead 208Pb ion-ion collisions, where LbyL scattering was recently measured by the ATLAS Collaboration at the LHC. We have demonstrated that γγ→γγ is the more appropriate channel to probe scale ΛNC. We also find that the transverse (φ) dependence of the NC PbPb(γγ)→Pb∗Pb∗γγ differential cross section shows large anisotropy near the peak NC contribution for a pure spacelike NC parameter. So the φ variation of the differential cross section is likely an appropriate signature for the NCQED contributions with the pure space- space noncommutative parameter, given that enough events could be available for determining the anisotropy.

Hypothetical particle physics models ; Noncommutative field theories ; Quantum field theory

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