Lorentz-symmetry violation in the electroweak sector: scattering processes in future $e^+ \, e^-$ colliders

TL;DR

This paper investigates how CPT-odd Lorentz-symmetry violations in the electroweak sector affect key scattering processes at future high-energy electron-positron colliders, providing bounds on Lorentz-violating parameters.

Contribution

It introduces a study of CPT-odd Lorentz-violating couplings in the electroweak sector and projects bounds based on future collider measurements.

Findings

Projected bounds on Lorentz-violating background vectors as strict as 10^{-5} GeV^{-1}

Analysis of cross sections for $e^+ e^- ightarrow Z H$, $Z Z$, and $\gamma ightarrow W^+ W^-$ processes

Agreement with previous bounds on similar Lorentz-violating couplings

Abstract

We study CPT-odd non-minimal Lorentz-symmetry violating couplings in the electroweak sector modifying the interactions between leptons, gauge mediators and the Higgs boson. The tree-level (differential) cross sections for three important electroweak processes are discussed: $e^+ \, e^- \rightarrow Z \, H$, $e^+ \, e^- \rightarrow Z \, Z$ and $\gamma \, \gamma \rightarrow W^+ \, W^-$. By considering next-generation $e^+ \, e^-$ colliders reaching center-of-mass energies at the TeV scale and the estimated improved precision for the measurements of the respective cross sections, we are able to project upper bounds on the purely time-like background 4-vector as strict as $\lesssim 10^{-5} \, \mbox{GeV}^{-1}$, in agreement with previous work on similar Lorentz-violating couplings.