Deep Inelastic Scattering from Holographic Spin-One Hadrons

TL;DR

This paper derives analytic expressions for all structure functions in deep inelastic scattering from holographic spin-one hadrons, revealing new relations and confirming some theoretical predictions within strongly coupled gauge theories.

Contribution

It provides the first complete analytic calculation of all eight structure functions for spin-one hadrons in holographic models, including new relations among them.

Findings

Derived explicit formulas for all eight structure functions.

Confirmed relations like 2F1=F2 and 2b1=b2.

Found new relations among structure functions.

Abstract

We study deep inelastic scattering structure functions from hadrons using different holographic dual models which describe the strongly coupled regime of gauge theories in the large $N$ limit. Particularly, we consider scalar and vector mesons obtained from holographic descriptions with fundamental degrees of freedom, corresponding to ${\cal {N}}=2$ supersymmetric and non-supersymmetric Yang-Mills theories. We explicitly obtain analytic expressions for the full set of eight structure functions, i.e., $F_1$, $F_2$, $g_1$, $g_2$, $b_1$, $b_2$, $b_3$, $b_4$, arising from the standard decomposition of the hadronic tensor of spin-one hadrons. We obtain the relations $2 F_1 = F_2$ and $2 b_1 = b_2$. In addition, we find $b_1 \sim {\cal {O}}(F_1)$ as suggested by Hoodbhoy, Jaffe and Manohar for vector mesons. Also, we find new relations among some of these structure functions.