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

We examine the potential of the e−p→e−γ⁎p→e−W−q′X ( γ⁎ is the Weizsacker-Williams photon) reaction to probe the non-standard W+W−γ couplings at the Large Hadron electron Collider (LHeC) and the Future Circular Collider-hadron electron (FCC-he). Using the effective Lagrangian approach with various values of the center-of-mass energy and integrated luminosity, we find 95% confidence level bounds on the anomalous coupling Δκγ and λγ parameters. We assume center-of-mass energies of the electron-proton system s=1.30,1.98,7.07,10 TeV and luminosities L=10−1000 fb−1 . The best limits obtained from the process e−p→e−γ⁎p→e−W−q′X on the anomalous Δκγ and λγ couplings are Δκγ=|0.00069| and λγ=[−0.0099,0.0054] . These bounds show that the process under consideration is a very promising option to probe the non-standard Δκγ and λγ couplings at the LHeC and the FCC-he. Our results also provide complementary information on other results for Δκγ and λγ couplings.