We study in detail deep inelastic scattering in the 't Hooft model. We are able to analytically check current conservation and to obtain analytic expressions for the matrix elements with relative precision O(1/Q²) for 1-xβ²/Q². This allows us to compute the electron-meson differential cross section and its moments with 1/Q² precision. For the former we find maximal violations of quark-hadron duality, as it is expected for a large Nc analysis. For the latter we find violations of the operator product expansion at next-to-leading order in the 1/Q² expansion.
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Mondéjar et al. (2009) studied this question.
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