Quantum-beamsstrahlung laser collider

An e+e- linear collider at energies beyond a TeV runs into a problem of severe beamsstrahlung, characterized by Υ on the order of unity (and beyond). In the regime of extremely high Υ the beamsstrahlung may be largely suppressed due to the quantum effect. In the design of an e+e- collider there are two ways to satisfy the collider physics constraints. One is to decrease the number of particles per bunch (and thus to increase the repetition rate) and the other is to decrease the longitudinal bunch length. The former approach can limit Υ, while the latter boosts it. (It may be useful to reevaluate the future collider parameters in view of this.) The laser wakefield driver for a collider in comparison with the microwave driver naturally offers a very short bunch length, which is appropriate for the latter collider option. The authors show that this choice of collider design with a short bunch length and high Υ has advantages and provide sample design parameters at 5 TeV. Such sample design parameters challenge them in a number of fronts, such as the preservation of high quality bunches, efficient high repetition rate lasers, etc. The collision point physics simulated by the CAIN code shows a surprisingly well preserved luminosity spectrum