The ππ scattering amplitude at large N c
Abstract We study the scaling of meson-meson scattering amplitudes with the number of colors, N c. We use lattice calculations in a theory with N f = 4 degenerate flavors, with N c = 3 – 6 and pion mass M π ≈ 560 MeV. We focus on three different scattering channels, two of which have the same quantu...
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SpringerOpen
2025-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2025)110 |
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| author | Jorge Baeza-Ballesteros Pilar Hernández Fernando Romero-López |
| author_facet | Jorge Baeza-Ballesteros Pilar Hernández Fernando Romero-López |
| author_sort | Jorge Baeza-Ballesteros |
| collection | DOAJ |
| description | Abstract We study the scaling of meson-meson scattering amplitudes with the number of colors, N c. We use lattice calculations in a theory with N f = 4 degenerate flavors, with N c = 3 – 6 and pion mass M π ≈ 560 MeV. We focus on three different scattering channels, two of which have the same quantum numbers as some tetraquark candidates recently found at LHCb: the T cs 0 0 2900 $$ {T}_{cs0}^0(2900) $$ , T c s ¯ 0 + + 2900 $$ {T}_{c\overline{s}0}^{++}(2900) $$ , T c s ¯ 0 0 2900 $$ {T}_{c\overline{s}0}^0(2900) $$ and T cs 1 0 2900 $$ {T}_{cs1}^0(2900) $$ states. Finite-volume energies are extracted using a large set of operators, containing two-particle operators with the form of two pions or two vector mesons, and local tetraquark operators. The resulting energy spectra is used to constrain the infinite-volume scattering amplitude by means of Lüscher’s quantization condition. We consider polynomial parametrizations of the phase shift, as well as one-loop chiral perturbation theory (ChPT) predictions. We find that our lattice results follow the expected N c scaling and are sensitive to subleading N c corrections. In addition, we constrain the scaling of different combinations of low-energy constants from matching to large N c ChPT. The results for the channel corresponding to a π + D s + − K + D + $$ \left({\pi}^{+}{D}_s^{+}-{K}^{+}{D}^{+}\right) $$ state show evidence of a virtual bound state with energy E virtual = 1.63(10)M π for N c = 3, while this pole disappears at N c > 3. This may be connected to the exotic states found in experiment. |
| format | Article |
| id | doaj-art-25ecf69da043436cb182921c5205ec8e |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-25ecf69da043436cb182921c5205ec8e2025-08-20T03:45:40ZengSpringerOpenJournal of High Energy Physics1029-84792025-08-012025816510.1007/JHEP08(2025)110The ππ scattering amplitude at large N cJorge Baeza-Ballesteros0Pilar Hernández1Fernando Romero-López2Deutsches Elektronen-Synchroton, DESYIFIC, CSIC-Universitat de ValènciaAlbert Einstein Center, ITP, University of BernAbstract We study the scaling of meson-meson scattering amplitudes with the number of colors, N c. We use lattice calculations in a theory with N f = 4 degenerate flavors, with N c = 3 – 6 and pion mass M π ≈ 560 MeV. We focus on three different scattering channels, two of which have the same quantum numbers as some tetraquark candidates recently found at LHCb: the T cs 0 0 2900 $$ {T}_{cs0}^0(2900) $$ , T c s ¯ 0 + + 2900 $$ {T}_{c\overline{s}0}^{++}(2900) $$ , T c s ¯ 0 0 2900 $$ {T}_{c\overline{s}0}^0(2900) $$ and T cs 1 0 2900 $$ {T}_{cs1}^0(2900) $$ states. Finite-volume energies are extracted using a large set of operators, containing two-particle operators with the form of two pions or two vector mesons, and local tetraquark operators. The resulting energy spectra is used to constrain the infinite-volume scattering amplitude by means of Lüscher’s quantization condition. We consider polynomial parametrizations of the phase shift, as well as one-loop chiral perturbation theory (ChPT) predictions. We find that our lattice results follow the expected N c scaling and are sensitive to subleading N c corrections. In addition, we constrain the scaling of different combinations of low-energy constants from matching to large N c ChPT. The results for the channel corresponding to a π + D s + − K + D + $$ \left({\pi}^{+}{D}_s^{+}-{K}^{+}{D}^{+}\right) $$ state show evidence of a virtual bound state with energy E virtual = 1.63(10)M π for N c = 3, while this pole disappears at N c > 3. This may be connected to the exotic states found in experiment.https://doi.org/10.1007/JHEP08(2025)1101/N ExpansionHadronic SpectroscopyStructure and InteractionsLattice QCDChiral Lagrangian |
| spellingShingle | Jorge Baeza-Ballesteros Pilar Hernández Fernando Romero-López The ππ scattering amplitude at large N c Journal of High Energy Physics 1/N Expansion Hadronic Spectroscopy Structure and Interactions Lattice QCD Chiral Lagrangian |
| title | The ππ scattering amplitude at large N c |
| title_full | The ππ scattering amplitude at large N c |
| title_fullStr | The ππ scattering amplitude at large N c |
| title_full_unstemmed | The ππ scattering amplitude at large N c |
| title_short | The ππ scattering amplitude at large N c |
| title_sort | ππ scattering amplitude at large n c |
| topic | 1/N Expansion Hadronic Spectroscopy Structure and Interactions Lattice QCD Chiral Lagrangian |
| url | https://doi.org/10.1007/JHEP08(2025)110 |
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