Eur. Phys. J. C (2021) 81: 210
https://doi.org/10.1140/epjc/s10052-021-08991-3

Regular Article – Theoretical Physics

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

¹ Facultad de Física, Universidad Autónoma de Zacatecas, Apartado Postal C-580, 98060, Zacatecas, Mexico
² Unidad Académica de Ciencias Químicas, Universidad Autónoma de Zacatecas, Apartado Postal C-585, 98060, Zacatecas, México
³ Department of Physics, Sinop University, Sinop, Turkey
⁴ Department of Physics, Ankara University, Ankara, Turkey
⁵ Deparment of Optical Engineering, Sivas Cumhuriyet University, 58140, Sivas, Turkey

^a alexgu@fisica.uaz.edu.mx

Received: 3 October 2020
Accepted: 20 February 2021
Published online: 3 March 2021

Abstract

In this paper, a study is carried out on the $e^{-}p\to e^{-}{\gamma }^{\ast }p\to p{W}^{-}\gamma {\nu }_e$ production to probe quartic $W^{+}{W}^{-}\gamma \gamma$ couplings at the Large Hadron electron Collider (LHeC) with $\sqrt{s}=1.30,1.98\text{TeV}$ and at the Future Circular Collider-hadron electron (FCC-he) with $\sqrt{s}=3.46,5.29\text{TeV}$. Production cross-sections are determined for both at leptonic and hadronic decay channels 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 $f_{M,i}/{\mathrm{\Lambda }}^4$ and $f_{T,j}/{\mathrm{\Lambda }}^4$ couplings which are competitive with the limits obtained by the LHC, as well as with others limits reported in the literature. The production mode $e^{-}p\to e^{-}{\gamma }^{\ast }p\to p{W}^{-}\gamma {\nu }_e$ in $e^{-}p$ collisions offers a window for study the quartic $W^{+}{W}^{-}\gamma \gamma$ electroweak bosons couplings at the LHeC and the FCC-he, which provides a much cleaner collision environment than the LHC.