Probe Noncommutative Space-Time Scale Using $\gamma \gamma \to Z$ At ILC

Abstract

In the standard model production of on-shell Z boson at a photon collider (or Z decays into $\gamma \gamma$) is strictly forbidden by angular momentum conservation and Bose statistics (the Yang's Theorem). In the standard model with noncommutative space-time this process can occur. Therefore this process provides an important probe for the noncommutative space-time. The $\gamma \gamma$ collision at the ILC by laser backscattering of the electron and positron beams offers an ideal place to carry out such a study. Assuming an integrated luminosity of 500 fb${}^{-1}$, we show that the constraint which can be achieved on $\Gamma (Z\to \gamma \gamma )$ is three to four orders of magnitude better than the current bound of $5.2\times 10^{-5}$ GeV. The noncommutative scale can be probed up to a few TeVs.

9 pages and 1 figure. Several typos in the text and references corrected

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• Dispersion Relations in Noncommutative Theories
• Constraints on Non-Commutative Physics Scale with Neutrino-Electron Scattering
• Seiberg-Witten map Invariant Scatterings
• A $\gamma \gamma$ Collider for the 750 GeV Resonant State
• Study of the rare decay $J/\psi \to e^{+}{e}^{-}\varphi$
• Further Studies of Higgs Properties at An ILC $\gamma \gamma$ Collider
• Symmetries, Microcausality and Physics on Canonical Noncommutative Spacetime