| Abstract: | We report the measurement of muon neutrino charged-current interactions on
carbon without pions in the final state at the T2K beam energy using
5.734$ imes10^{20}$ protons on target. For the first time the measurement is
reported as a flux-integrated, double-differential cross-section in muon
kinematic variables ($cos heta_mu$, $p_mu$), without correcting for events
where a pion is produced and then absorbed by final state interactions. Two
analyses are performed with different selections, background evaluations and
cross-section extraction methods to demonstrate the robustness of the results
against biases due to model-dependent assumptions. The measurements compare
favorably with recent models which include nucleon-nucleon correlations but,
given the present precision, the measurement does not solve the degeneracy
between different models. The data also agree with Monte Carlo simulations
which use effective parameters that are tuned to external data to describe the
nuclear effects. The total cross-section in the full phase space is $sigma =
(0.417 pm 0.047 ext{(syst)} pm 0.005 ext{(stat)}) imes 10^{-38}
ext{cm}^2$ $ ext{nucleon}^{-1}$ and the cross-section integrated in the
region of phase space with largest efficiency and best signal-over-background
ratio ($cos heta_mu>0.6$ and $p_mu > 200$ MeV) is $sigma = (0.202 pm
0.0359 ext{(syst)} pm 0.0026 ext{(stat)}) imes 10^{-38} ext{cm}^2$
$ ext{nucleon}^{-1}$. |
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