Two-photon Compton process in pulsed intense laser fields
D. Seipt, B. Kampfer

TL;DR
This paper derives a compact formula for the two-photon Compton process in pulsed intense laser fields using strong-field QED, revealing that the process is significantly more probable than perturbative estimates suggest.
Contribution
It introduces a new analytical expression for the two-photon emission probability in pulsed laser fields, accounting for finite pulse effects and intermediate state regularization.
Findings
Two-photon emission spectrum is two orders of magnitude stronger than perturbative predictions.
Finite laser pulse duration naturally regularizes on-shell contributions.
Derived a relation between real and virtual intermediate states in the process.
Abstract
Based on strong-field QED in the Furry picture we use the Dirac-Volkov propagator to derive a compact expression for the differential emission probability of the two-photon Compton process in a pulsed intense laser field. The relation of real and virtual intermediate states is discussed, and the natural regularization of the on-shell contributions due to the finite laser pulse is highlighted. The inclusive two-photon spectrum is two orders of magnitude stronger than expected from a perturbative estimate.
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