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

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 ∆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¯ e,µ ∼ 10 10 /10 12 TeV cm −2 s −1 places an upper bound on the combination of lepton sector Lorentz violation coefficients cµν components (cT T + 1.4 c (T Z) + 0.25(cXX + cY Y + 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.I.

Advances in QED with intense background fields

“…One possible source of physics beyond the Standard Model is the violation of Lorentz invariance. It has been proposed that intense lasers interacting with high-energy lepton beams could probe Lorentz-violating extensions of the Standard Model [1087], including noncommutativity in QED interactions [1088], in which quantised spacetime coordinates obey [x µ , x ν ] = iθ µν for θ µν a noncommutativity tensor.…”

Advances in QED with intense background fields

“…One possible source of physics beyond the Standard Model is the violation of Lorentz invariance. It has been proposed that intense lasers interacting with high-energy lepton beams could probe Lorentz-violating extensions of the Standard Model [1106], including noncommutativity in QED interactions [1107], in which quantised spacetime coordinates obey [x µ , x ν ] = iθ µν for θ µν a noncommutativity tensor.…”

Black holes with a cosmological constant in bumblebee gravity

“…Several studies involving the different sectors of the SME were carried out and allowed to raise stringent bounds on the magnitude of the Lorentz-violating parameters. Theoretical and phenomenological developments include CPT symmetry violation [18][19][20][21][22][23][24], the fermion sector [25][26][27][28][29][30][31], the gauge CPT-odd/even sectors [32][33][34][35][36][37][38][39][40], photon-fermion interactions [41][42][43][44][45][46], and radiative corrections [47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63].…”