EXPONENTIATION OF SOFT PHOTONS IN A PROCESS INVOLVING HARD PHOTONS

We present a simple method of removing the singularities associated wi th soft photon emission to all orders in perturbation theory through e xponentiation, while keeping a consistent description of hard photon e mission. We apply this method to the process e(+)e(-) --> mu(+)mu(-) n gamma where we include both Z(0) and gamma exchange and retain the muon mass dependence. The photonic radiation is allowed to be radiated off any charged leg, and so we include all initial and final state ra diation, as well as all interference effects. The effect of exponentia tion is to suppress soft photon emission over the cross section you wo uld obtain from working at strictly leading order. We also show how on e would extend the method to treat the collinear singularity and remov e the associated leading mass logarithms.