Probing model-independent limits on $W^{+}{W}^{-}\gamma$ triple gauge boson vertex at the LHeC and the FCC-he

Abstract

We study the cross-section of production of a single $W^{-}$ boson in association with a neutrino through the process $e^{-}p\to e^{-}{\gamma }^{\ast }p\to {\nu }_e{W}^{-}p$. Additionally, we obtain the anomalous couplings $\Delta {\kappa }_{\gamma }$ and ${\lambda }_{\gamma }$ of the $W^{+}{W}^{-}\gamma$ vertex at the Large Hadron Electron Collider (LHeC) and the Future Circular Collider Hadron-Electron (FCC-he). The impact of the polarized beam due to the electron is also analyzed. Our best limits for $\Delta {\kappa }_{\gamma }$ and ${\lambda }_{\gamma }$ at the $95\%$ C.L. are: $\Delta {\kappa }_{\gamma }=\pm 0.0017$, ${\lambda }_{\gamma }=\pm 0.0053$ (unpolarized electron beam) and $\Delta {\kappa }_{\gamma }=\pm 0.0013$, ${\lambda }_{\gamma }=\pm 0.0046$ (polarized electron beam) identifying the $W^{-}$ boson through the hadronic decay channel. In addition, the $e^{-}{\gamma }^{\ast }\to {\nu }_e{W}^{-}$ collision is one of the clean, pure and simple process to investigate the $W^{+}{W}^{-}\gamma$ coupling without the complications of QCD backgrounds.

Comments: 23 pages, 10 figures and 4 tables