Measuring at electron-proton colliders
David Marzocca
We study the prospects for an independent determination of from bottom-tagged charged-current deep-inelastic scattering at future electron-proton colliders: the EIC, LHeC, and FCC-eh. The transition probes through a process with different theoretical and experimental uncertainties from semileptonic decays. We fit ratios of -tagged charged-current event counts over flavour-inclusive ones in kinematic bins, including correlated parton-distribution and flavour-tag calibration uncertainties, and floating the other CKM parameters. With projected parton distributions and tagging performance motivated by existing studies, we find a potential relative sensitivity in of about at the LHeC with of integrated luminosity and at FCC-eh with . The corresponding EIC sensitivity is instead at the level of , depending on the configuration. The LHeC could thus provide a high-energy determination competitive with low-energy ones, but with substantially different dominant systematic uncertainties, on the timescale of its proposed operation between the HL-LHC and FCC-ee. We identify precise flavour-tag calibration and control of the kinematic response as the main requirements for realising this potential sensitivity.