Search for anomalous $WW\gamma$ and $WWZ$ couplings with polarized $e$-beam at the LHeC

TL;DR

This study explores the potential of the LHeC collider with polarized electron beams to improve constraints on anomalous $WW\gamma$ and $WWZ$ couplings through specific processes, achieving bounds comparable or better than current experiments.

Contribution

It provides new sensitivity estimates for anomalous gauge couplings at the LHeC, highlighting the benefits of electron beam polarization in such measurements.

Findings

Polarized electron beams improve bounds on anomalous couplings.

Limits on $WW\gamma$ and $WWZ$ couplings are comparable to current collider results.

The process $ep o u_{e}qZX$ can further tighten existing limits.

Abstract

We examine the potential of the $ep\to\nu_{e}q\gamma X$ and $ep\to\nu_{e}qZX$ processes to search for the anomalous couplings of $WW\gamma$ and $WWZ$ vertices at the LHeC with the electron beam energy of $E_{e}=60$ GeV and $E_{e}=140$ GeV. The difference of maximum and minimum bounds on the anomalous couplings, ($\delta\Delta\kappa_{\gamma}$, $\delta\lambda_{\gamma}$) and ($\delta\Delta\kappa_{Z}$, $\delta\lambda_{Z}$) are obtained as ($0.990$, $0.122$) and ($0.362$, $0.012$) without electron beam polarization at the beam energy of $E_{e}=140$ GeV for an integrated luminosity of $L_{int}=100$ fb$^{-1}$, respectively. With the possibility of $e-$beam polarization, we obtain more improved results as ($0.975$, $0.118$) and ($0.285$, $0.009$) for ($\delta\Delta\kappa_{\gamma}, \delta\lambda_{\gamma}$) and ($\delta\Delta\kappa_{Z}, \delta\lambda_{Z}$), respectively. The results are found to be comparable with the current experimental limits obtained from two-parameter analysis at the lepton and hadron colliders. It is found that the limits on the anomalous couplings ($\Delta\kappa_{Z}$, $\lambda_{Z}$) through the process $ep\to\nu_{e}qZX$ at the LHeC can further improve the current experimental limits.