A high brilliance source for muon colliders

A scheme of muon production for debugging and test of a muon collider is outlined. μ+ and μ− microbunches are generated simultaneously, at high energy, with high brilliance and pointing to the same direction, by annihilation of e+ and e− stored in two rings located in the same tunnel and running at the same energy E. e+ and e− bunches cross each other repeatedly along the muon beam line, that they traverse respectively at angles ±α, chosen so that the total muon energy in the lab is E−mμ.