these results, which is reproduced here, are taken from the references cited above unless otherwise stated.

The single-differential cross section results are given in terms of [$Q^{2}_{\textrm{QE}}$]{}, the four-momentum transfer calculated from lepton kinematics under the quasi-elastic hypothesis, which is calculated using the equations: $${\ensuremath{E_{\nu}}\xspace}^{\mathrm{QE}} = \frac{2M'_{n}E_{\mu}-(M'^{2}_{n}+m_{\mu}^{2}-M^{2}_{p})}{2(M'_{n}-E_{\mu}+\sqrt{E_{\mu}^{2}-m_{\mu}^{2}}\cos{\theta_{\mu}})},
  \label{eq:ccqe-enuqe}$$ $${\ensuremath{Q^{2}_{\textrm{QE}}}\xspace}= -m_{\mu}^{2}+2{\ensuremath{E_{\nu}}\xspace}^{\mathrm{QE}}(E_{\mu}-\sqrt{E_{\mu}^{2}-m_{\mu}^{2}}\cos{\theta_{\mu}}),
  \label{eq:ccqe-q2qe}$$ where $E_\mu$ is the muon energy; $M_{n}$, $M_{p}$ and $m_{\mu}$ are the neutron, proton and muon masses, respectively; and $M'_{n} = M_{n} - V$ where $V$ is the binding energy of carbon assumed in the analysis[^3]. For both [MiniBooNE]{}datasets and the [MINER$\nu$A]{}neutrino dataset, $V = 34$MeV; for the [MINER$\nu$A]{}antineutrino dataset, $V = 30$MeV.

In the [MiniBooNE]{}analysis, [$Q^{2}_{\textrm{QE}}$]{}is calculated from the unfolded $T_{\mu}$ and $\cos\theta_{\mu}$ distributions. The [MINER$\nu$A]{}analysis unfolds the [$Q^{2}_{\textrm{QE}}$]{}distribution calculated with the reconstructed $p_{\mu}$ and $\cos\theta_{\mu}$ values. The errors on the [$Q^{2}_{\textrm{QE}}$]{}distributions for both experiments include the uncertainties relating to the muon reconstruction, so should cover the difference in the method used to produce the [$Q^{2}_{\textrm{QE}}$]{}cross section results. We note that the main results of our analysis use the [MiniBooNE]{}double-differential results only, so there is no possible tension from differences between the methods used to produce [$Q^{2}_{\textrm{QE}}$]{}distributions.

[MiniBooNE]{}neutrino
---------------------

The [MiniBooNE]{}CCQE data has been released as a double-differential 