In the presence of an electromagnetic background plane-wave field, electron, positron, and photon
states are not stable, because electrons and positrons emit photons and photons decay into electronpositron pairs. This decay of the particle states leads to an exponential damping term in the
probabilities of single nonlinear Compton scattering and nonlinear Breit-Wheeler pair production.
We present analytical and numerical investigations for the probabilities of nonlinear Compton
scattering and nonlinear Breit-Wheeler pair production including the particle states decay.
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