Deep inelastic scattering for vector mesons in holographic D4-D8 model

TL;DR

This paper investigates deep inelastic scattering of vector mesons within a holographic D4-D8 model, calculating structure functions and examining their relations to QCD sum rules.

Contribution

It provides the first calculation of unpolarized structure functions for rho and a1 mesons in the holographic D4-D8 framework, confirming the Callan-Gross relation in certain regimes.

Findings

F2/(2xF1) approximately equals one in some x and q2 ranges

Structure functions computed for q2 < 80 GeV2 and 0.2 < x < 1

Supports holographic models as tools for studying meson structure functions

Abstract

We study deep inelastic scattering for vector and axial vector mesons in the holographic D4-D8 brane model. We consider tree level contributions with one particle in the final hadronic state. We obtain the unpolarized structure functions F1 and F2 for the rho and a1 mesons for q2 < 80 GeV2 and 0.2 < x < 1. We find that the ratio F2/(2xF1) is approximately equal to one for some ranges of x and q2, satisfying the Callan-Gross relation.