Report
A lattice study of $\pi\pi$ scattering at large $N_\text{c}$
| العنوان: | A lattice study of $\pi\pi$ scattering at large $N_\text{c}$ |
|---|---|
| المؤلفون: | Baeza-Ballesteros, Jorge, Hernández, Pilar, Romero-López, Fernando |
| المصدر: | JHEP 06 (2022) 049 |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | High Energy Physics - Lattice, High Energy Physics - Phenomenology |
| الوصف: | We present the first lattice study of pion-pion scattering with varying number of colors, $N_\text{c}$. We use lattice simulations with four degenerate quark flavors, $N_\text{f}=4$, and $N_\text{c}=3-6$. We focus on two scattering channels that do not involve vacuum diagrams. These correspond to two irreducible representations of the SU(4) flavor group: the fully symmetric one, $SS$, and the fully antisymmetric one, $AA$. The former is a repulsive channel equivalent to the isospin-2 channel of SU(2). By contrast, the latter is attractive and only exists for $N_\text{f} \geq 4$. A representative state is $\left( |D_s^+ \pi^+\rangle - |D^+ K^+\rangle\right)/\sqrt{2}$. Using L\"uscher's formalism, we extract the near-threshold scattering amplitude and we match our results to Chiral Perturbation Theory (ChPT) at large $N_\text{c}$. For this, we compute the analytical U$(N_\text{f})$ ChPT prediction for two-pion scattering, and use the lattice results to constrain the $N_\text{c}$ scaling of the relevant low-energy couplings. Comment: 40 pages, 15 figures, 8 tables. v2: references added and minor corrections. Matches published version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP06(2022)049 |
| URL الوصول: | http://arxiv.org/abs/2202.02291 |
| رقم الانضمام: | edsarx.2202.02291 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP06(2022)049 |
|---|