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

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.

Comments: 18 pages, 22 figures, 6 tables