SU(2) chiral perturbation theory low-energy constants from 2+1 flavor staggered lattice simulations

Borsányi, Szabolcs and Dürr, S. and Fodor, Zoltán and Krieg, S. and Schäfer, A. and Scholz, E. E. and Szabó, K. K. (2013) SU(2) chiral perturbation theory low-energy constants from 2+1 flavor staggered lattice simulations. PHYSICAL REVIEW D, 88 (1). ISSN 2470-0010

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Abstract

We extract the next-to-leading-order low-energy constants ¯ℓ3 and ¯ℓ4 of SU(2) chiral perturbation theory, based on precise lattice data for the pion mass and decay con- stant on ensembles generated by the Wuppertal-Budapest Collaboration for QCD thermodynamics. These ensembles feature 2+1 flavors of two-fold stout-smeared dy- namical staggered fermions combined with Symanzik glue, with pion masses varying from 135 to 435 MeV, lattice scales between 0.7 and 2.0 GeV, while ms is kept fixed at its physical value. Moderate taste splittings and the scale being set through the pion decay constant allow us to restrict ourselves to the taste pseudoscalar state and to use formulas from continuum chiral perturbation theory. Finally, by dropping the data points near 135 MeV from the fits, we can explore the range of pion masses that is needed in SU(2) chiral perturbation theory to reliably extrapolate to the physical point.

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