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Incompleteness in current knowledge of neutrino interactions with nuclearmatter imposes a primary limitation in searches for leptonic CP violationcarried out at long-baseline neutrino experiments. In this paper, we present anew computation that elevates the theoretical accuracy tonext-to-next-to-leading order (NNLO) in QCD for charged-currentdeeply-inelastic scattering (DIS) processes relevant for ongoing and futureneutrino programs. Mass-dependent quark contributions are consistently includedacross a wide range of momentum transfers in the SACOT-$\chi$ general-massscheme. When appropriate, we further include N$^3$LO corrections in thezero-mass scheme. We show theoretical predictions for several experiments withneutrinos over a wide range of energies and at the upcoming Electron-IonCollider. Our prediction reduces perturbative uncertainties to $\sim\!1\%$,sufficient for the high-precision objectives of future charged-current DISmeasurements, and provides important theoretical inputs to experimental studiesof leptonic mixing and CP violations.

General heavy-flavor mass scheme for charged-current DIS at NNLO and beyond