Deep inelastic scattering and factorization in the 't Hooft Model
arXiv:0901.3113 · doi:10.1103/PhysRevD.79.085011
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/Q^2) for 1-x >> β^2/Q^2. This allows us to compute the electron-meson differential cross section and its moments with 1/Q^2 precision. For the former we find maximal violations of quark-hadron duality, as it is expected for a large N_c analysis. For the latter we find violations of the operator product expansion at next-to-leading order in the 1/Q^2 expansion.
55 pages, 16 figures
References in corpus (6)
- Effective field theories for heavy quarkonium
- Unraveling duality violations in hadronic tau decays
- Heavy meson semileptonic differential decay rate in two dimensions in the large Nc
- 1/N_c and 1/n preasymptotic corrections to Current-Current correlators
- Quark-Hadron Duality and Scaling in Reduced QCD
- Breakdown of the operator product expansion in the 't Hooft model