High-Energy Fixed-Angle Meson Scattering and the Constituent Counting Rule in Holographic QCD

TL;DR

This paper explores high-energy meson scattering in holographic QCD, extending existing models to include vector mesons and confirming the constituent counting rule, with a new approach to compute scattering angles.

Contribution

It generalizes the Polchinski--Strassler approach to include $ ho$-mesons in holographic QCD, aligning with QCD's constituent counting rule and enabling scattering angle calculations.

Findings

Results agree with the constituent counting rule in QCD.

The generalized model describes $ ho$-meson scattering consistently.

Provides a method to compute scattering angle dependence.

Abstract

We investigate the high-energy fixed-angle scattering of pions and $\rho$-mesons in a bottom-up holographic QCD model. To this end, we generalise the approach of Polchinski and Strassler arXiv:hep-th/0109174 to write an ansatz for meson scattering amplitudes based on superstring scattering amplitudes in asymptotically AdS space. We demonstrate that our generalisation of the Polchinski--Strassler proposal is necessary to describe $\rho$-meson scattering consistently with the Nambu--Goldstone boson equivalence theorem. Our results for pion and $\rho$-meson scattering amplitudes are in agreement with the constituent counting rule found in QCD. Moreover, our proposal for 2-to-2 scattering amplitudes provides a method for computing scattering angle dependence.