Future projections on the anomalous $WW{\hat{I}}^3{\hat{I}}^3$ couplings in hadron-hadron interactions at the FCC-hh

Abstract

We carry out a study in the approach of a dimension-8 effective field theory on the anomalous quartic $WW{\hat{I}}^3{\hat{I}}^3$ couplings that arise from the process $pp\to W{\hat{I}}^3{\hat{I}}^3$ at the Future Circular Collider-hadron hadron (FCC-hh). The process is sensitive to the $WW{\hat{I}}^3{\hat{I}}^3$ vertex, and future projections on the anomalous $f_{M,i}/\hat{I}{›}^4$ and $f_{T,j}/\hat{I}{›}^4$ couplings can be put by measurements of $W{\hat{I}}^3{\hat{I}}^3$ production. We illustrate the physics opportunities and reach of the FCC-hh operating for a high integrated luminosity scenario of $\mathcal{L}=1,5,10,30$ ${\mathrm{ab}}^{-1}$ of proton-proton collisions at a center-of-mass energy of $\sqrt{s}=100$ TeV and systematic uncertainties of $\hat{I}{´}_{sys}=0\%,3\%,5\%,10\%$. Production cross-sections of the signal and the sensitivity constraints on the anomalous $f_{M,i}/\hat{I}{›}^4$ and $f_{T,j}/\hat{I}{›}^4$ couplings at $95\%$ C.L. are identified through the leptonic and hadronic decay modes of the $W$-boson. The FCC-hh sensitivity on these anomalous couplings is expected might reach up to the order of magnitude $\mathcal{O}(10^{-4}-10^1)$. These sensitivity perspectives indicate that the $pp\to W{\hat{I}}^3{\hat{I}}^3$ channel at the FCC-hh has a greater potential to search for the anomalous quartic $WW{\hat{I}}^3{\hat{I}}^3$ couplings and to search for new physics than present colliders.

29 pages, 8 figures