Holographic Pomeron: Saturation and DIS

TL;DR

This paper explores holographic QCD models of dipole scattering, deriving saturation momentum and cross sections, and compares theoretical results with experimental DIS data, advancing understanding of high-energy scattering processes.

Contribution

It provides a holographic derivation of dipole saturation and cross sections, connecting string theory models with QCD phenomenology and experimental data.

Findings

Holographic Pomeron models Regge behavior in dipole scattering.

Derived explicit saturation momentum in holographic backgrounds.

Matched holographic results with BFKL Pomeron and DIS data.

Abstract

We briefly review the approach to dipole-dipole scattering in holographic QCD developed in ARXIV:1202.0831. The Pomeron is modeled by exchanging closed strings between the dipoles and yields Regge behavior for the elastic amplitude. We calculate curvature corrections to this amplitude in both a conformal and confining background, identifying the holographic direction with the virtuality of the dipoles. The it wee-dipole density is related to the string tachyon diffusion in both virtuality and the transverse directions. We give an explicit derivation of the dipole saturation momentum both in the conformal and confining metric. Our holographic result for the dipole-dipole cross section and the it wee-dipole density in the conformal limit are shown to be identical in form to the BFKL pomeron result when the non-critical string transverse dimension is $D_\perp=3$. The total dipole-dipole cross section is compared to DIS data from HERA.