Deep inelastic scattering and factorization in the 't Hooft Model

TL;DR

This paper analyzes deep inelastic scattering within the 't Hooft model, providing analytical results for matrix elements and cross sections, and examining violations of quark-hadron duality and operator product expansion at high energies.

Contribution

It offers the first detailed analytical study of deep inelastic scattering in the 't Hooft model, including precision calculations and insights into duality violations.

Findings

Maximal violations of quark-hadron duality observed

Violations of operator product expansion at next-to-leading order

Analytic expressions for matrix elements and cross sections obtained

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 >> \beta^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.