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

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

2006-04-13

arxiv.org/abs/hep-ph/0604115v3

Phys.Lett. B640 (2006) 28-31

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/j.physletb.2006.07.031

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.

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