The neutrino-induced charged-current quasi-elastic (CCQE, $ u_l+nto l^-+p$ or $bar u_l+pto l^++n$) interaction is the most abundant interaction around 1 GeV, and it is the most fundamental channel to study neutrino oscillations. Recently, MiniBooNE p
ublished both muon neutrino and muon anti-neutrino double differential cross sections on carbon. In this review, we describe the details of these analyses and include some historical remarks.
The first measurements of antineutrino charged-current quasielastic ($ umub$ CCQE, $ umu + N to mup + N$) and neutral-current elastic ($ umub$ NCE, $ umu + N to umu + N$) cross sections with $< E_{bar{ u}} >$ $<$ 1 GeV are presented. To maximize the
precision of these measurements, many data-driven background measurements were executed, including a first demonstration of charge separation using a non-magnetized detector. Apart from extending our knowledge of antineutrino interactions by probing a new energy range, these measurements constrain signal and background processes for current and future neutrino oscillation experiments and also carry implications for intra-nuclear interactions.
MiniBooNE anti-neutrino charged-current quasi-elastic (CCQE) data is compared to model predictions. The main background of neutrino-induced events is examined first, where three independent techniques are employed. Results indicate the neutrino flux
is consistent with a uniform reduction of $sim$ 20% relative to the largely uncertain prediction. After background subtraction, the $Q^{2}$ shape of $ umub$ CCQE events is consistent with the model parameter $M_{A}$ = 1.35 GeV determined from MiniBooNE $ umu$ CCQE data, while the normalization is $sim$ 20% high compared to the same prediction.
Using a high-statistics sample of anti-neutrino charged current quasi-elastic (CCQE) events, MiniBooNE reports the challenges in measuring parameters within the Relativistic Fermi Gas model. As the CCQE analysis has been completed in MiniBooNEs neutr
ino data, particular attention is paid to the differences in CCQE interactions between the two running modes.
