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The recoil associated with photon emission is key to the dynamics ofultrarelativistic electrons in strong electromagnetic fields, as are found inhigh-intensity laser-matter interactions and astrophysical environments such asneutron star magnetospheres. When the energy of the photon becomes comparableto that of the electron, it is necessary to use quantum electrodynamics (QED)to describe the dynamics accurately. However, computing the appropriatescattering matrix element from strong-field QED is not generally possible dueto multiparticle effects and the complex structure of the electromagneticfields. Therefore these interactions are treated semiclassically, couplingprobabilistic emission events to classical electrodynamics using ratescalculated in the locally constant field approximation. Here we providecomprehensive benchmarking of this approach against the exact QED calculationfor nonlinear Compton scattering of electrons in an intense laser pulse. Wefind agreement at the percentage level between the photon spectra, as well asbetween the models' predictions of absorption from the background field, fornormalized amplitudes $a_0 > 5$. We discuss possible routes towards improvednumerical methods and the implications of our results for the study of QEDcascades.

Benchmarking semiclassical approaches to strong-field QED: nonlinear Compton scattering in intense laser pulses