2024/12/23 by Armoni, Adi, Pyszkowski, Bartosz, Sugimoto, Shigeki +1 · 2 citations
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2412.17784
We investigate the high-energy fixed-angle scattering of pions and ρ-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 ρ-meson scattering consistently with the Nambu--Goldstone boson equivalence theorem. Our results for pion and ρ-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.