High energy e- e- scattering, ratio inelastic/elastic cross-sections?

[Spinnor]

If we were to scatter high energy (say E>>m_e) electrons off each other is there a hand wavy argument to come up with a rough estimate for the ratio of inelastic to elastic cross-sections?

Would the dominate inelastic collision between two high energy electrons result in a single photon emitted?

Thanks for any help!

 

[mathman]

"electron-electron interaction"

Google the above.