The $ππ$ scattering amplitude at large $N_\text{c}$
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909767681703936 |
|---|---|
| author | Baeza-Ballesteros, Jorge Hernández, Pilar Romero-López, Fernando |
| author_facet | Baeza-Ballesteros, Jorge Hernández, Pilar Romero-López, Fernando |
| contents | We study the scaling of meson-meson scattering amplitudes with the number of colors, $N_\text{c}$. We use lattice calculations in a theory with $N_\text{f}=4$ degenerate flavors, with $N_\text{c}=3-6$ and pion mass $M_π\approx 560$ 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 $T_{cs0}^0(2900)$, $T_{c\bar{s}0}^{++}(2900)$, $T_{c\bar{s}0}^0(2900)$ and $T_{c\bar{s}1}^0(2900)$ 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 $N_\text{c}$ scaling and are sensitive to subleading $N_\text{c}$ corrections. In addition, we constrain the scaling of different combinations of low-energy constants from matching to large $N_\text{c}$ ChPT. The results for the channel corresponding to a $(π^+ D^+_s - K^+ D^+)$ state show evidence of a virtual bound state with energy $E_\text{virtual}=1.63(10)M_π$ for $N_\text{c}=3$, while this pole disappears at $N_\text{c}>3$. This may be connected to the exotic states found in experiment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_13978 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The $ππ$ scattering amplitude at large $N_\text{c}$ Baeza-Ballesteros, Jorge Hernández, Pilar Romero-López, Fernando High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory We study the scaling of meson-meson scattering amplitudes with the number of colors, $N_\text{c}$. We use lattice calculations in a theory with $N_\text{f}=4$ degenerate flavors, with $N_\text{c}=3-6$ and pion mass $M_π\approx 560$ 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 $T_{cs0}^0(2900)$, $T_{c\bar{s}0}^{++}(2900)$, $T_{c\bar{s}0}^0(2900)$ and $T_{c\bar{s}1}^0(2900)$ 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 $N_\text{c}$ scaling and are sensitive to subleading $N_\text{c}$ corrections. In addition, we constrain the scaling of different combinations of low-energy constants from matching to large $N_\text{c}$ ChPT. The results for the channel corresponding to a $(π^+ D^+_s - K^+ D^+)$ state show evidence of a virtual bound state with energy $E_\text{virtual}=1.63(10)M_π$ for $N_\text{c}=3$, while this pole disappears at $N_\text{c}>3$. This may be connected to the exotic states found in experiment. |
| title | The $ππ$ scattering amplitude at large $N_\text{c}$ |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.13978 |