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

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: $e^{+}{e}^{-}\to ZH$, $e^{+}{e}^{-}\to ZZ$ and $\gamma \gamma \to W^{+}{W}^{-}$. 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.

15 pages, published in NPB

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