Deep inelastic scattering and factorization in the 't Hooft model

Jorge Mondejar, Antonio Pineda

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Abstract

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-x β2/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. © 2009 The American Physical Society.
Original languageEnglish
Article number085011
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume79
Issue number8
DOIs
Publication statusPublished - 1 Apr 2009

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    Mondejar, J., & Pineda, A. (2009). Deep inelastic scattering and factorization in the 't Hooft model. Physical Review D - Particles, Fields, Gravitation and Cosmology, 79(8), [085011]. https://doi.org/10.1103/PhysRevD.79.085011