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We show that the relatively large best fit value of $\sin^2 2 \theta_{13} = 0.14 , (0.17)$ measured in the T2K experiment for fixed values of i) the Dirac CP violation phase , and ii) the atmospheric neutrino mixing parameters , $|\Delta m^2_{32}| = 2.4 \times 10^{-3} ; {\rm eV}^2\sin^2 2 \theta_{13} = 0.090 \pm 0.009$ if the effects of non-standard neutrino interactions (NSI) in the relevant and oscillation probabilities are taken into account.

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