Sensitivity analysis for the anomalous $W^{+}{W}^{-}\gamma$ couplings at the LHeC and the FCC-he

Abstract

We study the anomalous $W^{+}{W}^{-}\gamma$ couplings in performing the production of the W-pair through the process $e^{-}p\to e^{-}{\gamma }^{\ast }{\gamma }^{\ast }p\to e^{-}{W}^{+}{W}^{-}p$ at the Large Hadron electron Collider (LHeC) and the Future Circular Collider-hadron electron (FCC-he). We examine the pure hadronic, the semi-leptonic and the pure leptonic decay channels of the produced W-pair. We assume the center-of-mass energies of $\sqrt{s}=1.30$ and $1.98$ TeV and the integrated luminosities of 10-100 fb${}^{-1}$ for the LHeC and the center-of-mass energies of $\sqrt{s}=3.46$ and $5.29$ TeV and the integrated luminosities of 100-2000 fb${}^{-1}$ for the FCC-he. The best limits at 95$\%$ confidence level obtained for the anomalous couplings $\Delta {\kappa }_{\gamma }$ and ${\lambda }_{\gamma }$ are $\Delta {\kappa }_{\gamma }=[-0.00208;0.00206]$ and ${\lambda }_{\gamma }=[-0.00174;0.00834]$. By comparing these limits with the experimental limits, we present the potentials of the process and future $ep$ colliders.

Comments: 21 pages, 5 figures, 6 tables