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

Spinnor
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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!
 
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