Measuring the Beam Polarizations and the Luminosity at Photon-Photon Colliders

Abstract

We present methods to measure the beam polarizations and the luminosity of $\gamma \gamma$ colliders at TeV energy scale. The beam polarizations of a $\gamma \gamma$ collider can easily be monitored by comparing the numbers of events of the processes $\gamma \gamma$ $\to$ ${\ell }^{+}{\ell }^{-}$ and $\gamma \gamma$ $\to$ $W^{+}{W}^{-}$, where $\ell$ means $e$ or $\mu$. The luminosity of a $\gamma \gamma$ collider is also measurable by the event rate of $W$ boson pair productions and the light lepton pair productions.

Comments: 16 pages and 7 figures attached as PostScript files, LaTeX, HUPD-9217 (Revised for 4 points: 2 are important, see the top of the file for details.)