Using an intense laser beam in interaction with muon/electron beam to probe the Noncommutative QED

TL;DR

This paper investigates how noncommutative spacetime backgrounds influence the polarization transformation of laser photons scattering off high-energy muon/electron beams, suggesting potential experimental detection of noncommutative QED effects.

Contribution

It demonstrates that intense laser and lepton beams can produce measurable circular polarization signals due to noncommutative spacetime effects, providing a novel experimental probe of noncommutative QED.

Findings

Circularly polarized photon generation rate ~10^4/sec for given parameters

Effect size increases with more intense beams in the future

Potential to detect noncommutative spacetime signatures experimentally

Abstract

It is known that the linearly polarized photons can partly transform to circularly polarized ones via forward Compton scattering in a background such as the external magnetic field or noncommutative space time. Based on this fact we explore the effects of the NC-background on the scattering of a linearly polarized laser beam from an intense beam of charged leptons. We show that for a muon/electron beam flux $\bar\varepsilon_{\mu,e}\sim 10^{12}/10^{10}\,{\rm TeV}\,{\rm cm}^{-2}\,{\rm sec}^{-1}$ and a linearly polarized laser beam with energy $k^0\sim $1 eV and average power $\bar{P}_{\rm laser}\simeq$1 MW, the generation rate of circularly polarized photons is about $R_{_V} \sim 10^4/{\rm sec}$ for Noncommutative energy scale $\Lambda_{\tiny{NC}}\sim 10$TeV. This is fairly large and can grow for more intense beams in near future.