Study on the anomalous quartic $W^{+}{W}^{-}{\hat{I}}^3{\hat{I}}^3$ couplings of electroweak bosons in $e^{-}p$ collisions at the LHeC and the FCC-he

Abstract

In this paper, a study is carried out on the $e^-p \to e^-γ^* p \to p W^+γν_e$ production to probe quartic $W^{+}{W}^{-}{\hat{I}}^3{\hat{I}}^3$ couplings using 10, 100 $\mathrm{f}{\mathrm{b}}^{-1}$ of $e^{-}p$ collisions data at $\sqrt{s}$= 1.30, 1.98 GeV at the Large Hadron electron Collider (LHeC) and 100, 1000 $\mathrm{f}{\mathrm{b}}^{-1}$ with $\sqrt{s}$= 3.46, 5.29 GeV at the Future Circular Collider-hadron electron (FCC-he). Production cross-sections are determined for both at leptonic and hadronic decay channel of the $W$-boson. With the data from future $e^{-}p$ colliders, it is possible to obtain sensitivity measures at $95\%$ C.L. on the anomalous $f_{M,i}/\hat{I}{›}^4$ and $f_{T,i}/\hat{I}{›}^4$ couplings which are competitive with the limits obtained by the LHC, as well as with others limits reported in the literature. The production mode $e^-p \to e^-γ^* p \to p W^+γν_e $ in $e^{-}p$ collisions offers a window for study the quartic $W^{+}{W}^{-}{\hat{I}}^3{\hat{I}}^3$ electroweak bosons couplings at the LHeC and the FCC-he, which provides a much cleaner collision environment than the LHC.

27 pages , 10 figures