PoS - Proceedings of Science
Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Meson interactions at Large $N_c$ from Lattice QCD
F. Romero-Lopez,* A. Donini, P. Hernandez, C. Pena
*corresponding author
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Pre-published on: December 05, 2019
Published on: August 27, 2020
Abstract
We report on the computation of the scaling of QCD observables with the number of colours, $N_c$. For this, we use dynamical configurations with four active flavours, $N_f=4$, and values of $N_c=3-6$. We study the meson masses and decay constants, and compute the leading and subleading contributions to the Low Energy Constants (LECs) of the chiral Lagrangian. We also explore $\pi \pi$ scattering in the $I=2$ channel, and compute the $K \to \pi $ weak decay matrix elements. We comment on the relation of the latter to $K \to \pi\pi$ processes and the $\Delta I=1/2$ rule.
DOI: https://doi.org/10.22323/1.363.0005
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