We summarize our lattice QCD determinations of the pion-pion, pion-kaon and kaon-kaon s-wave scattering lengths at maximal isospin with a particular focus on the extrapolation to the physical point and the usage of next-to-leading order chiral perturbation theory to do so. We employ data at three values of the lattice spacing and pion masses ranging from around 230 MeV to around 450 MeV, applying Luescher's finite volume method to compute the scattering lengths. We find that leading order chiral perturbation theory is surprisingly close to our data even in the kaon-kaon case for our entire range of pion masses.
@article{arxiv.1904.00191,
title = {Meson-meson scattering lengths at maximum isospin from lattice QCD},
author = {Christopher Helmes and Christian Jost and Bastian Knippschild and Bartosz Kostrzewa and Liuming Liu and Ferenc Pittler and Carsten Urbach and Markus Werner},
journal= {arXiv preprint arXiv:1904.00191},
year = {2021}
}
Comments
10 pages, 8 figures, Presented at the 9th International Workshop on Chiral Dynamics, Sept. 17-21, 2018, Duke University, Durham, NC, USA , submitted to PoS, (C18-09-17.6). Funding acknowledgements added in v2 replacement, comma added in abstract. In v3 replacement, corrected typo in equation 6.2 which was referring to the pion-kaon reduced mass instead of the pion mass