Abstract

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 l3 and l4. 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, enabling us to precisely determine the LECs. In addition, the pion masses available in this work also allow us to study the applicability of using ChPT to extrapolate from higher mass ranges to the physical pion mass.

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