Seiberg-Witten map Invariant Scatterings

Abstract

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 $2\to 2$ proceses, including Möller, 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 ${\Lambda }_{\mathrm{NC}}$ while both are less efficient than some other probes.

55 pages, 3 tables, 15 figures; v2: added transversed ($\phi$), and longitudinal ($\vartheta$) distributions of convolouted light-by-light differential cross sections, published version; v4: many typos in text and misprints in eqs (1o1-105) of LbyL scattering corrected; numerical, computer generated results are not affected by the above corrections. No change of results and conclusions

References in corpus (26)

• Very Special Relativity
• Measurement of light-by-light scattering and search for axion-like particles with 2.2 nb${}^{-1}$ of Pb+Pb data with the ATLAS detector
• Probing the Noncommutative Standard Model at Hadron Colliders
• Improved Z -> gamma gamma decay in the renormalizable gauge sector of the noncommutative standard model
• Synchrotron and Inverse Compton Constraints on Lorentz Violations for Electrons
• Exclusive muon-pair productions in ultrarelativistic heavy-ion collisions: Realistic nucleus charge form factor and differential distributions
• The Noncommutative Standard Model at O(theta^2)
• Seiberg-Witten-type Maps for Currents and Energy-Momentum Tensors in Noncommutative Gauge Theories
• Vacuum Birefringence as a Probe of Planck Scale Noncommutativity
• 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
• Constraining noncommutative field theories with holography
• Chiral fermions in noncommutative electrodynamics: renormalizability and dispersion
• Möller and Bhabha scattering in the noncommutative standard model
• Heavy-ion physics studies for the Future Circular Collider
• Quantum duality under the theta-exact Seiberg-Witten map
• Weak Gravity Conjecture for Noncommutative Field Theory
• The Noncommutative Standard Model at the ILC
• The Seiberg-Witten map and supersymmetry
• Noncommutativity from the string perspective: modification of gravity at a mm without mm sized extra dimensions
• Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders
• Probe Noncommutative Space-Time Scale Using $\gamma \gamma \to Z$ At ILC
• PHOTON-2017 conference proceedings
• Photon-Photon Scattering in Very Special Relativity
• Bounds on the scale of noncommutativity from mono photon production in ATLAS Runs -1 and -2 experiments at LHC energies

Cited by in corpus (5)

• Seiberg-Witten maps and scattering amplitudes of NCQED
• Revisiting NCQED and scattering amplitudes
• Search for noncommutative interactions in $\gamma \gamma \to \gamma \gamma$ process at the LHC
• Seiberg-Witten Map with Lorentz-Invariance and Gauge-Covariant Star Product
• UV/IR mixing in Noncommutative SU(N) Yang-Mills theory