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

• Main Authors: Seddigheh Tizchang, Rohoollah Mohammadi, She-Sheng Xue
• Format: Article
• Language: English
• Published: SpringerOpen 2019-03-01
• Series: European Physical Journal C: Particles and Fields
• Online Access: http://link.springer.com/article/10.1140/epjc/s10052-019-6716-5
• ISSN: 1434-6044; 1434-6052

Abstract 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 $$\Delta \phi _{\mathrm{FC}}$$ ΔϕFC ) 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 $$\Delta \phi _{\mathrm{FC}}\simeq 10^{-3}-10^{-2}$$ ΔϕFC≃10-3-10-2 , we show that the scattering of a linearly polarized laser beam with energy $$k_0\sim 0.1$$ k0∼0.1  eV and an electron/muon beam with flux $${\bar{\epsilon }}_{e,\mu }\sim 10^{10}/10^{12}$$ ϵ¯e,μ∼1010/1012  TeV cm$$^{-2}$$ -2 s$$^{-1}$$ -1 places an upper bound on the combination of lepton sector Lorentz violation coefficients $$c_{\mu \nu }$$ cμν components $$(c_{TT}+1.4~c_{(TZ)}+0.25(c_{XX}+c_{YY}+2~c_{ZZ})$$ (cTT+1.4c(TZ)+0.25(cXX+cYY+2cZZ) . The obtained bound on the combination for the electron beam is at the $$4.35\times 10^{-15}$$ 4.35×10-15 level and for the muon beam at the $$3.9\times 10^{-13}$$ 3.9×10-13 level. It should be mentioned that the laser and charged lepton beams considered here to reach the experimentally measurable $$\Delta \phi _{\mathrm{FC}}$$ ΔϕFC 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.