Differences in quasielastic cross sections of muon and electron neutrinos

Accelerator neutrino oscillation experiments seek to make precision measurements of the neutrino flavor oscillations (-)ν_μ→(-)νₑ in order to determine the mass hierarchy of neutrinos and to search for $CP$ violation in neutrino oscillations. These experiments are currently performed with beams of muon neutrinos at energies near 1 GeV where the charged-current quasielastic interactions ν_n→^-p and ν_p→⁺n dominate the signal reactions. We examine the difference between the quasielastic cross sections for muon and electron neutrinos and antineutrinos and estimate the uncertainties on these differences.