https://doi.org/10.1140/epjc/s10052-019-6716-5
Regular Article - Theoretical Physics
Probing Lorentz violation effects via a laser beam interacting with a high-energy charged lepton beam
1
School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
2
Iranian National Museum of Science and Technology (INMOST), P.O. Box 11369-14611, Tehran, Iran
3
School of Astronomy, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5531, Tehran, Iran
4
ICRANet and Department of Physics, University of Rome“Sapienza”, P.le A. Moro 5, 00185, Rome, Italy
* e-mail: s.tizchang@ipm.ir
Received:
16
November
2018
Accepted:
22
February
2019
Published online:
12
March
2019
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 
) 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 
, we show that the scattering of a linearly polarized laser beam with energy 
eV and an electron/muon beam with flux 
TeV cm
s
places an upper bound on the combination of lepton sector Lorentz violation coefficients 
components 
. The obtained bound on the combination for the electron beam is at the 
level and for the muon beam at the 
level. It should be mentioned that the laser and charged lepton beams considered here to reach the experimentally measurable 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.
© The Author(s), 2019
