Bounds on the non-standard $W^{+}{W}^{-}\gamma$ couplings at the LHeC and the FCC-he

Abstract

We examine the potential of the $e^{-}p\to e^{-}{\gamma }^{\ast }p\to e^{-}{W}^{-}{q}^{\prime }X$ (${\gamma }^{\ast }$ is Weizsacker-Willams photon) reaction to probe the non-standard $W^{+}{W}^{-}\gamma$ couplings at the Large Hadron electron Collider (LHeC) and the Future Circular Collider-hadron electron (FCC-he). We find $95\%$ confidence level bounds on the anomalous coupling $\Delta {\kappa }_{\gamma }$ and ${\lambda }_{\gamma }$ parameters in the view of effective Lagrangian approach with various values of the integrated luminosity. We assume center-of-mass energies of the electron-proton system $\sqrt{s}=1.30,1.98,7.07,10\mathrm{TeV}$ and luminosities $\mathcal{L}=10-1000\mathrm{f}{\mathrm{b}}^{-1}$. The best limits obtained from the process $e^{-}p\to e^{-}{\gamma }^{\ast }p\to e^{-}{W}^{-}{q}^{\prime }X$ on the anomalous $\Delta {\kappa }_{\gamma }$ and ${\lambda }_{\gamma }$ couplings are $\Delta {\kappa }_{\gamma }=|0.00069|$ and ${\lambda }_{\gamma }=[-0.0099,0.0054]$. These bounds show that the process under consideration is a good prospect for the searching of the non-standard $\Delta {\kappa }_{\gamma }$ and ${\lambda }_{\gamma }$ couplings at the LHeC and the FCC-he. In addition, our results provide complementary information on other results for $\Delta {\kappa }_{\gamma }$ and ${\lambda }_{\gamma }$ couplings.

Comments: 16 pages, 4 figures. arXiv admin note: text overlap with arXiv:1910.02307, arXiv:1909.10299