Seiberg-Witten map invariant scatterings
| Autor: | Duško Latas, Jiangyang You, Josip Trampetic |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Particle physics Annihilation 010308 nuclear & particles physics Scattering Physics of Elementary Particles and Fields Astrophysics::High Energy Astrophysical Phenomena FOS: Physical sciences Invariant (physics) Lambda 01 natural sciences Noncommutative geometry Scattering amplitude High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) Pair production 0103 physical sciences Seiberg-Witten map 010306 general physics Hypothetical particle physics models Noncommutative field theories Quantum field theory |
| Zdroj: | Physical review. D Physical Review |
| Popis: | We investigate Scattering amplitudes of the reversible $\theta$-exact Seiberg-Witten (SW) map based noncommutative (NC) quantum electrodynamics, and show explicitly the SW map invariance for all tree-level NCQED $2\to2$ proceses, including M\"oller, Bhabha, Compton, pair annihilation, pair production and light-by-light $(\gamma\gamma\to\gamma\gamma)$ scatterings. We apply our NCQED results to the $\gamma\gamma\to\gamma\gamma$ and $\gamma\gamma\to\ell^+\ell^-$ exclusive processes, convoluted to the ultraperipheral lead $^{208}$Pb ion-ion collisions, recently measured by the ATLAS collaboration at LHC. We demonstrate that $\gamma\gamma\to\gamma\gamma$ is the more appropriate channel to probe NC scale $\Lambda_{\rm NC}$ while both are less efficient than some other probes. Comment: 55 pages, 3 tables, 15 figures; v2: added transversed ($\varphi$), and longitudinal ($\vartheta$) distributions of convolouted light-by-light differential cross sections, published version; v3: misprints and typos in the text and equations corrected; numerical, computer generated results are not affected by the above corrections. No change of results and conclusions |
| Databáze: | OpenAIRE |
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