Progress in meson-meson scattering at large $N_{\text{c}}$

Abstract

We study the large $N_{\text{c}}$ scaling of meson-meson scattering amplitudes in a theory with $N_{\text{f}}=4$ degenerate quark flavors. We focus on two different scattering channels, one having the same quantum numbers as some recently found tetraquark states at LHCb. Using Lüscher's formalism, we study the $N_{\text{c}}$ dependence of the scattering phase shift and investigate the presence of exotic resonances in the scattering amplitude. We analyze the impact of including two-vector-meson and tetraquark-like operators to extract the finite-volume energies.

8 pages of main content, 5 figures. Talk presented at the 40th International Symposium on Lattice Field Theory (Lattice2023), 31 July - 4 August 2023, Fermi National Accelerator Laboratory