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000625326 1001_ $$0P:(DE-H253)PIP1112428$$aBaeza Ballesteros, Jorge$$b0$$eCorresponding author
000625326 245__ $$aResults on meson-meson scattering at large $N_\mathrm{c}$
000625326 260__ $$c2025
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000625326 500__ $$a11 pages, 5 figures. Talk presented at the 41st International Symposium on Lattice Field Theory (Lattice2024), 28 July - 3 August 2024, Liverpool, UK
000625326 520__ $$aWe present results on the large $N_\text{c}$ scaling of meson-meson scattering amplitudes. We work in a theory with $N_\text{f}=4$ degenerate quark flavors and run lattice simulations with $N_\text{c}=3-6$ and pion mass $M_\pi\approx 590$ 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 $N_\text{c}$ corrections to the large $N_\text{c}$ limit. For one of the channels, we find indications of a virtual bound state at $N_\text{c}=3$, which may be related to one of the aforementioned exotic states.
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000625326 7001_ $$0P:(DE-HGF)0$$aHernández, Pilar$$b1
000625326 7001_ $$0P:(DE-HGF)0$$aRomero-López, Fernando$$b2
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