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

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.

28 pages, 3 figures. v2: published in JHEP, includes clarifications + one extra reference + new Appendix D

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Cited by in corpus (1)

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