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|Paper IPM / Particles And Accelerator / 15687||
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 ∆ϕFC) 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 ∆ϕFC ≅ 10−3−10−2, we show that the scattering of a linearly polarized laser beam with energy k0 ∼ 0.1 eV and an electron/muon beam with flux ―ϵe,μ ∼ 1010/1012 TeV cm−2 s−1 places an upper bound on the combination of lepton sector Lorentz violation coefficients cμν components (cTT+1.4 c(TZ)+0.25(cXX+cYY+2 cZZ). The obtained bound on the combination for the electron beam is at the 4.35×10−15 level and for the muon beam at the 3.9×10−13 level. It should be mentioned that the laser and charged lepton beams considered here to reach the experimentally measurable ∆ϕFC 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.
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