“School of Particles And Accelerator”
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| Paper IPM / Particles And Accelerator / 15687 | ||||||||||||||||||||||||
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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 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 ΔϕFC≃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 ˉϵe,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 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.
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