Ab initio study of $({\mathbf{\nu }}_{\mathbf{\ell }},{\mathbf{\ell }}^{-})$ and $({\overline{\mathbf{\nu }}}_{\mathbf{\ell }},{\mathbf{\ell }}^{+})$ inclusive scattering in ${}^{12}$C: confronting the MiniBooNE and T2K CCQE data

Abstract

We carry out an ab initio calculation of the neutrino flux-folded inclusive cross sections, measured on ${}^{12}$C by the MiniBooNE and T2K collaborations in the charged-current quasielastic (CCQE) regime. The calculation is based on realistic two- and three-nucleon interactions, and on a realistic nuclear electroweak current with one-and two-nucleon terms that are constructed consistently with these interactions and reproduce low-energy electroweak transitions. Numerically exact quantum Monte Carlo methods are utilized to compute the nuclear weak response functions, by fully retaining many-body correlations in the initial and final states and interference effects between one- and two-body current contributions. We employ a nucleon axial form factor of the dipole form with ${\Lambda }_A=1.0$ or $1.15$ GeV, the latter more in line with a very recent lattice QCD determination. The calculated cross sections are found to be in good agreement with the neutrino data of MiniBooNE and T2K, and antineutrino MiniBooNE data, yielding a consistent picture of nuclei and their electroweak properties across a wide regime of energy and momenta.

13 pages, 7 figures

References in corpus (14)

• First Measurement of the Muon Neutrino Charged Current Quasielastic Double Differential Cross Section
• Inclusive quasi-elastic electron-nucleus scattering
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Weak Pion Production off the Nucleon
• Extensions of Superscaling from Relativistic Mean Field Theory: the SuSAv2 Model
• Quantum Computing for Neutrino-nucleus Scattering
• Measurement of the Rate of Muon Capture in Hydrogen Gas and Determination of the Proton's Pseudoscalar Coupling $g_P$
• Inclusive neutrino scattering off deuteron from threshold to GeV energies
• Scaling and isospin effects in quasielastic lepton-nucleus scattering in the Relativistic Mean Field Approach
• Final-state interactions and superscaling in the semi-relativistic approach to quasielastic electron and neutrino scattering
• Impact of low-energy nuclear excitations on neutrino-nucleus scattering at MiniBooNE and T2K kinematics
• Pion production within the hybrid relativistic plane wave impulse approximation model at MiniBooNE and MINERvA kinematics
• Neutrino-induced one-pion production revisited: the ${\nu }_{\mu }n\to {\mu }^{-}n{\pi }^{+}$ channel
• Many-body Propagator Theory with Three-Body Interactions: a Path to Exotic Open Shell Isotopes

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• Unleashing the Power of EFT in Neutrino-Nucleus Scattering
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• Ab initio calculations of overlap integrals for $\mu \to e$ conversion in nuclei
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• Two-body currents at finite momentum transfer and applications to M1 transitions
• Relativistic meson-exchange currents in semi-inclusive lepton scattering
• Quantum Simulation of Nuclear Dynamics in First Quantization
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