Sensitivity analysis for the anomalous W+ W- gamma couplings at the LHeC and the FCC-he

We study the anomalous W+W- gamma couplings in performing the production of the W-pair through the process e(-) p -> e(-) gamma* gamma* p -> 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 root 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 root 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.