Abstract
Incompleteness in current knowledge of neutrino interactions with nuclear matter imposes a primary limitation in searches for leptonic $CP$ violation carried out at long-baseline neutrino experiments. In this paper, we present a new computation that elevates the theoretical accuracy to next-to-next-to-leading order in QCD for charged-current deeply inelastic scattering processes relevant for ongoing and future neutrino programs. Mass-dependent quark contributions are consistently included across a wide range of momentum transfers in the simplified-ACOT-$\ensuremath{\chi}$ general-mass scheme. When appropriate, we further include next-to-next-to-next-to-leading order corrections in the zero-mass scheme. We show theoretical predictions for several experiments with neutrinos over a wide range of energies and at the upcoming electron-ion collider. Our prediction reduces perturbative uncertainties to $\ensuremath{\sim}1%$, sufficient for the high-precision objectives of future charged-current deeply inelastic scattering measurements, and provides important theoretical inputs to experimental studies of leptonic mixing and $CP$ violations.
Highlights
Combined charge-conjugation and parity-reversal (CP) symmetry of elementary particles is a fundamental symmetry between matter and antimatter, and CP violation is necessary to explain the observed imbalance in the abundances of matter and antimatter in the Universe
One important feature is that higherorder QCD corrections reduce the deeply inelastic scattering (DIS) cross section to somewhat increase the apparent difference between the precise CCFR96 data and theory predictions, which may be attributed to the low-Q2 contributions that are not included in this theory calculation
We have presented a general-mass calculation for inclusive CC DIS at N2LO in QCD with full threshold dependence on the charm-quark mass
Summary
Combined charge-conjugation and parity-reversal (CP) symmetry of elementary particles is a fundamental symmetry between matter and antimatter, and CP violation is necessary to explain the observed imbalance in the abundances of matter and antimatter in the Universe. Violation is large enough to account for the matter-antimatter asymmetry, these experimental tests require tight theoretical control over charged-current production rates, which in turn entails a global effort to advance the associated nuclear and hadronic models, as well as perturbative QCD computations [4] This effort, as well as experimental programs to constrain δCP in the lepton sector, run parallel to an experimental-theoretical campaign to explore neutrino-nucleus interactions to higher precision in short-baseline neutrino experiments or at the near detectors of long-baseline searches for CP violation. The Wilson coefficients Ci;jðzÞ can be expanded in the QCD coupling as ≡ αsðμ; NfÞ=ð4πÞ as
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