1/N corrections to $F_1$ and $F_2$ structure functions of vector mesons from holography

TL;DR

This paper calculates the structure functions of vector mesons at order 1/N using holography, revealing non-commuting limits and improving agreement with lattice QCD results.

Contribution

It introduces 1/N corrections to vector meson structure functions via holography, highlighting the non-commutativity of large N and high energy limits.

Findings

First moments of F1 for rho meson match lattice QCD results

Non-commutativity of large N and high energy limits

Improved accuracy over planar limit holographic calculations

Abstract

The structure functions $F_1$ and $F_2$ of the hadronic tensor of vector mesons are obtained at order $1/N$ and strong coupling using the gauge/gravity duality. We find that the large $N$ limit and the high energy one do not commute. Thus, by considering the high energy limit first, our results of the first moments of $F_1$ for the rho meson agree well with those from lattice QCD, with an important improvement of the accuracy with respect to the holographic dual calculation in the planar limit.