PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
$\pi\pi$ scattering at Large $N_c$
J. Baeza-Ballesteros*, P. Hernandez and F. Romero-Lopez
Full text: pdf
Pre-published on: May 16, 2022
Published on:
We study the Large $N_\text{c}$ scaling of pion-pion scattering amplitudes for $N_\text{f}=4$ degenerate quark flavors. We focus on the standard isospin-2 channel and an additional representation that is antisymmetric in both quarks and antiquarks---the $AA$ channel. The latter only exists for $N_\text{f}\geq 4$ and a representative state is $\frac{1}{\sqrt{2}}(|D_s^+\pi^+\rangle-|D^+ K^+\rangle)$. We compare the results obtained for two regularizations (Wilson and twisted-mass fermions) and three values of the lattice spacing, and observe significant discretization effects in the AA channel. Finally, we match our results to NLO SU(4) and NNLO U(4) chiral perturbation theory and constrain the $N_\text{c}$ scaling of the relevant low-energy constants.
DOI: https://doi.org/10.22323/1.396.0309
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.