By fitting pion masses and decay constants from 2+1 flavor staggered lattice simulations to the predictions of NLO and NNLO SU(2) chiral perturbation theory we determine the low-energy constants ℓ̄3 and ℓ ̄4. The lattice ensembles were generated by the Wuppertal-Budapest collaboration and cover pion masses in the range of 135 to 435 MeV and lattice scales between 0.7 and 2.0 GeV. By choosing a suitable scaling trajectory, we were able to demonstrate that precise and stable results for the LECs can be obtained from continuum ChPT to NLO. The pion masses available in this work also allow us to study the applicability of using ChPT to extrapolate from higher masses to the physical pion mass.
|Original language||English (US)|
|Journal||Proceedings of Science|
|State||Published - 2012|
|Event||10th Conference on Quark Confinement and the Hadron Spectrum, Confinement 2012 - Munich, Germany|
Duration: Oct 8 2012 → Oct 12 2012
All Science Journal Classification (ASJC) codes