A study of quasi-elastic muon neutrino and antineutrino scattering in the NOMAD experiment

Abstract

We have studied the muon neutrino and antineutrino quasi-elastic (QEL) scattering reactions (${\nu }_{\mu }n\to {\mu }^{-}p$ and ${\bar{\nu }}_{\mu }p\to {\mu }^{+}n$) using a set of experimental data collected by the NOMAD collaboration. We have performed measurements of the cross-section of these processes on a nuclear target (mainly Carbon) normalizing it to the total ${\nu }_{\mu }$ (${\bar{\nu }}_{\mu }$) charged current cross-section. The results for the flux averaged QEL cross-sections in the (anti)neutrino energy interval 3-100 GeV are $σ^{qel}_{ν_μ} = (0.92 \pm 0.02 (stat) \pm 0.06 (syst))\times 10^{-38} \cm^2$ and $σ{qel}_{\barν_μ} = (0.81 \pm 0.05 (stat) \pm 0.08 (syst))\times 10^{-38} \cm^2$ for neutrino and antineutrino, respectively. The axial mass parameter $M_A$ was extracted from the measured quasi-elastic neutrino cross-section. The corresponding result is $M_A=1.05\pm 0.02(stat)\pm 0.06(syst)GeV$. It is consistent with the axial mass values recalculated from the antineutrino cross-section and extracted from the pure $Q^2$ shape analysis of the high purity sample of ${\nu }_{\mu }$ quasi-elastic 2-track events, but has smaller systematic error and should be quoted as the main result of this work. Our measured $M_A$ is found to be in good agreement with the world average value obtained in previous deuterium filled bubble chamber experiments. The NOMAD measurement of $M_A$ is lower than those recently published by K2K and MiniBooNE collaborations. However, within the large errors quoted by these experiments on $M_A$, these results are compatible with the more precise NOMAD value.

arXiv comment26 pages, 18 figures, submitted to Eur.Phys.J.C

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