Breaking of Lorentz Invariance in Electron-Proton Parity Violation

TL;DR

This paper investigates potential Lorentz invariance violations in the weak vector boson sector using parity violation measurements in electron-proton scattering, proposing future experimental bounds improvements.

Contribution

It extends Lorentz violation studies beyond fermions and photons to include weak bosons, analyzing how future experiments can tighten bounds on these violations.

Findings

Future measurements at EIC, LHeC, and FCC-eh can improve bounds on Lorentz violation.

Including timing information at FCC-eh significantly enhances sensitivity.

Current bounds are surpassed by proposed experimental setups.

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.