High-Energy Pion Scattering in Holographic QCD: A Comparison with Experimental Data

TL;DR

This paper investigates high-energy pion scattering using holographic QCD, showing qualitative agreement with experimental data and extending the approach to other meson and glueball processes.

Contribution

It demonstrates that holographic QCD can qualitatively match experimental high-energy pion scattering data and predicts additional scattering processes.

Findings

Reproduces the constituent counting rule in QCD

Qualitative agreement with experimental data in high-energy fixed-angle regime

Provides predictions for all other 2-to-2 pion scattering processes

Abstract

Following Polchinski and Strassler [1] and our previous work [2], we study high-energy pion scattering in the holographic QCD hard-wall model. In particular, we focus on comparing our predictions for the angular dependence of $\pi^{+} \pi^{-} \to \pi^{+} \pi^{-}$ scattering with experimental data extracted from the process $\pi^{-} p \to \pi^{+} \pi^{-} n$. Having previously shown that our approach reproduces the constituent counting rule found in QCD, we now observe qualitative agreement between our predictions and the extracted data in the high-energy fixed-angle regime. We also provide predictions for all other 2-to-2 pion scattering processes. Our approach can be extended to a broader range of meson and glueball scattering processes in various holographic QCD models.