Abstract
A popular framework for exploring Lorentz violation is the Standard Model Extension. This extension contains a large number of parameters that can be bounded in various experiments. Most studies, however, focus on the fermion or photon sector. Here, we consider Lorentz violation in the weak vector boson sector. The strongest bounds come from measurements of the asymmetry in Moller scattering. We study the bounds that can be obtained from future measurements of the parity violating asymmetry in deep inelastic electron-proton scattering at the EIC, the LHeC and the FCC-eh. For the FCC-eh, the bounds could be substantially improved over current bounds by including timing information.
Highlights
While the Standard Model is successful at describing physical phenomena at the highest energies measured, it is expected to break down when gravitational effects are no longer negligible
While it is expected that this high energy scale would be the Planck scale, requiring very high precision studies, larger effects are possible, and the question of Lorentz violation is one that should be probed experimentally
The extra terms are invariant under observer Lorentz transformations; i.e., all Lorentz indices must be contracted and the physics does not depend on the choice of coordinates
Summary
While the Standard Model is successful at describing physical phenomena at the highest energies measured, it is expected to break down when gravitational effects are no longer negligible. An extremely useful approach was developed years ago by Colladay and Kostelecký [1,2,3,4], who constructed the Standard Model extension (SME) This model is based on the Standard Model, but adds Lorentz violating terms which satisfy the Standard Model gauge symmetry and have dimension less than or equal to four. Fu and Lehnert [17] considered bounds on parameters that only involve gauge bosons They studied bounds involving internal Z boson lines in electron-electron scattering experiments searching for parity violation and found that bounds from the E158 experiment at SLAC improved previous bounds by 2 orders of magnitude. The parameters they considered arise from the Lorentz violating terms in the SME. The first term in this expression deals with Lorentz violation in the
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