%0 Electronic Article
%A Baeza Ballesteros, Jorge
%A Hernández, Pilar
%A Romero-López, Fernando
%T Results on meson-meson scattering at large N<sub>c</sub>
%N arXiv:2501.19115
%M PUBDB-2025-01100
%M arXiv:2501.19115
%M DESY-25-018
%M MIT-CTP/5834
%D 2025
%Z 11 pages, 5 figures. Talk presented at the 41st International Symposium on Lattice Field Theory (Lattice2024), 28 July - 3 August 2024, Liverpool, UK
%X We present results on the large N<sub>\text</sub>c scaling of meson-meson scattering amplitudes. We work in a theory with N<sub>\text</sub>f=4 degenerate quark flavors and run lattice simulations with N<sub>\text</sub>c=3−6 and pion mass M<sub>π</sub> ≈ 590 MeV. We focus on three different scattering channels, two of which have the same quantum numbers as some tetraquark candidates recently found at LHCb. Finite-volume energies are extracted using a large set of operators, containing two-particle operators corresponding to two pions or two vector mesons, and local tetraquark operators. Using Lüscher's quantization condition, we constrain the infinite-volume scattering amplitudes and investigate subleading N<sub>\text</sub>c corrections to the large N<sub>\text</sub>c limit. For one of the channels, we find indications of a virtual bound state at N<sub>\text</sub>c=3, which may be related to one of the aforementioned exotic states.
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.3204/PUBDB-2025-01100
%U https://bib-pubdb1.desy.de/record/625326