Exact final state integrals for strong field QED

TL;DR

This paper derives exact analytical formulas for final state integrals in strong field QED, specifically for nonlinear Compton scattering, enabling more efficient calculations and deeper insights into the process.

Contribution

It provides the first exact analytic integration of all final state variables in nonlinear Compton scattering within intense plane wave laser pulses, improving computational efficiency.

Findings

Derived simple formulas for total scattering probability and emitted radiation energy-momentum.

Explicitly expressed the effective mass in the scattering process.

Presented a quantum correction to Larmor's classical radiation formula.

Abstract

This paper introduces the exact, analytic integration of all final state variables for the process of nonlinear Compton scattering in an intense plane wave laser pulse, improving upon a previously slow and challenging numerical approach. Computationally simple and insightful formulae are derived for the total scattering probability and mean energy-momentum of the emitted radiation. The general form of the effective mass appears explicitely. We consider several limiting cases, and present a quantum correction to Larmor's formula. Numerical results are plotted and analysed in detail.