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

Cited by in corpus (2)

• Dispersion Relations in Noncommutative Theories
• Symmetries, Microcausality and Physics on Canonical Noncommutative Spacetime