Journal Article

Probing Lorentz violation effects via a laser beam interacting with a high-energy charged lepton beam

Mohammadi, Rohoollah, She-Sheng Xue, Tizchang, Seddigheh

2019

Overview

In this work, the conversion of linear polarization of a laser beam to circular one through its forward scattering by a TeV order charged lepton beam in the presence of Lorentz violation correction is explored. We calculate the ratio of circular polarization to linear one (Faraday conversion phase \\[\\Delta \\phi _{\\mathrm{FC}}\\]) of the laser beam interacting with either electron or the muon beam in the framework of the quantum Boltzmann equation. Regarding the experimentally available sensitivity to the Faraday conversion \\[\\Delta \\phi _{\\mathrm{FC}}\\simeq 10^{-3}-10^{-2}\\], we show that the scattering of a linearly polarized laser beam with energy \\[k_0\\sim 0.1\\] eV and an electron/muon beam with flux \\[{\\bar{\\epsilon }}_{e,\\mu }\\sim 10^{10}/10^{12}\\] TeV cm\\[^{-2}\\] s\\[^{-1}\\] places an upper bound on the combination of lepton sector Lorentz violation coefficients \\[c_{\\mu \\nu }\\] components \\[(c_{TT}+1.4~c_{(TZ)}+0.25(c_{XX}+c_{YY}+2~c_{ZZ})\\]. The obtained bound on the combination for the electron beam is at the \\[4.35\\times 10^{-15}\\] level and for the muon beam at the \\[3.9\\times 10^{-13}\\] level. It should be mentioned that the laser and charged lepton beams considered here to reach the experimentally measurable \\[\\Delta \\phi _{\\mathrm{FC}}\\] are currently available or will be accessible in the near future. This study provides a valuable supplementary to other theoretical and experimental frameworks for measuring and constraining Lorentz violation coefficients.

• Publisher: Springer Nature B.V
• Subject: Boltzmann transport equation / Circular polarization / Conversion / Electron beams / Forward scattering / Laser beams / Lasers / Leptons / Linear polarization / Mathematical analysis / Muons / Particle beams / Upper bounds