The largest sample ever recorded of $\numub$ charged-current quasi-elastic (CCQE, $\numub + p \to \mup + n$) candidate events is used to produce the minimally model-dependent, flux-integrated double-differential cross section $\frac{d^{2}\sigma}{dT_\mu d\uz}$ for $\numub$ incident on mineral oil. This measurement exploits the unprecedented statistics of the MiniBooNE anti-neutrino mode sample and provides the most complete information of this process to date. Also given to facilitate historical comparisons are the flux-unfolded total cross section $\sigma(E_\nu)$ and single-differential cross section $\frac{d\sigma}{d\qsq}$ on both mineral oil and on carbon by subtracting the $\numub$ CCQE events on hydrogen. The observed cross section is somewhat higher than the predicted cross section from a model assuming independently-acting nucleons in carbon with canonical form factor values. The shape of the data are also discrepant with this model. These results have implications for intra-nuclear processes and can help constrain signal and background processes for future neutrino oscillation measurements.
Flux (neutrinos /cm^2/Protons on Target/50 MeV).
The MiniBooNE $\bar{\nu}_\mu$ CCQE double-differential cross section on mineral oil, together with the shape uncertainty, in units of fb/GeV $(10^{-39}~\mbox{cm}^2/\mbox{GeV})$. Data is given in 0.1 GeV bins of $T_\mu$ (columns) and 0.1 bins of $\,\textrm{cos}\, \theta_\mu$ (rows). Not included in the table is the total normalization uncertainty of 13.0$\%$.
CCQE-like background in units of fb/GeV $(10^{-39}~\mbox{cm}^2)/\mbox{GeV}$ to the MiniBooNE $\bar{\nu}_\mu$ CCQE double-differential cross section on mineral oil. In this configuration, the hydrogen scattering component is treated as signal and is not included in the CCQE-like background.
The interaction of virtual photons is investigated using the reaction e+e- -> e+e- hadrons based on data taken by the OPAL experiment at e+e- centre-of-mass energies sqrt(s_ee)=189-209 GeV, for W>5 GeV and at an average Q^2 of 17.9 GeV^2. The measured cross-sections are compared to predictions of the Quark Parton Model (QPM), to the Leading Order QCD Monte Carlo model PHOJET to the NLO prediction for the reaction e+e- -> e+e-qqbar, and to BFKL calculations. PHOJET, NLO e+e- -> e+e-qqbar, and QPM describe the data reasonably well, whereas the cross-section predicted by a Leading Order BFKL calculation is too large.
Total cross section in the given phase space and assuming ALPHA = 1/137.
Differential cross section as a function of X where X is the maximum value of X1 or X2, the upper and lower vertex values.
Differential cross section as a function of Q**2 where Q**2 is the maximum value of Q1**2 or Q2**2, the upper and lower vertex values.
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