Application of Lorentzian CFT Principal Series Representation to Near Forward Scattering

TL;DR

This paper explores high energy diffraction using AdS/CFT, employing Lorentzian CFT principal series representations to unify perturbative and nonperturbative Pomeron descriptions in forward scattering.

Contribution

It introduces a novel approach using Unitary Irreducible Representations of the conformal group to extend AdS/CFT to near-forward scattering, providing a unified framework.

Findings

Derived an exact solution to conformal blocks in Minkowski CFT.

Proposed applications to high-energy scattering processes at LHC.

Unified treatment of perturbative and nonperturbative Pomerons.

Abstract

We present a discussion on recent progress in high energy diffraction from the perspective of AdS/CFT, through which a unified treatment for both perturbative and nonperturbative Pomeron emerges. By working with Unitary Irreducible Representation of Conformal group, a frame is provided in extending AdS/CFT to both forward and nearforward scattering. We present an analysis involving an exact solution to conformal blocks in Minkowski CFT and discuss possible applications. Phenomenological applications can range from forward scattering to DIS/DVCS/TMD at LHC energies and beyond.