Impact of laser polarization on q-exponential photon tails in non-linear Compton scattering

TL;DR

This paper investigates how laser polarization influences the high-energy photon tails in non-linear Compton scattering, revealing q-deformed exponential behaviors and comparing different laser pulse models relevant for upcoming experiments.

Contribution

It introduces an analysis of laser polarization effects on photon spectra in non-linear Compton scattering, highlighting q-deformed exponential shapes and comparing pulse durations with monochromatic models.

Findings

Laser polarization significantly affects photon energy distributions.

Q-deformed exponential shapes characterize the high-energy photon tails.

Comparison of pulse durations reveals effects on scattering spectra.

Abstract

Non-linear Compton scattering of ultra-relativistic electrons traversing high-intensity laser pulses generates also hard photons. These photon high-energy tails are considered for parameters in reach at the forthcoming experiments LUXE and E-320. We consider the invariant differential cross sections $d \sigma / du$ between the IR and UV regions and analyze the impact of the laser polarization and find q-deformed exponential shapes. (The variable $u$ is the light-cone momentum-transfer from initial electron to final photon.) Optical laser pulses of various durations are compared with the monochromatic laser beam model which uncovers the laser intensity parameter in the range $\xi = 1 \cdots 10$. Some supplementary information is provided for the azimuthal final-electron/photon distributions and the photon energy-differential cross sections.