NLO and NNLO chiral fits for 2+1 flavor DWF ensembles

Details NLO and NNLO chiral fits for 2+1 flavor DWF ensembles NLO and NNLO chiral fits for 2+1 flavor DWF ensembles

2009-10-16

arxiv.org/abs/0910.3194v1

PoS LAT2009:081,2009

Physics

High Energy Physics

High Energy Physics - Lattice

Proceedings contribution for Lattice 2009

Scientific paper

We study the use of NLO and NNLO formulae from SU(2) chiral perturbation theory to fit results from the 2+1 flavor DWF QCD ensembles that have been generated by the RBC and UKQCD collaborations. These ensembles are at two different lattice spacings, contain multiple dynamical light quark masses, and include a variety of partially quenched valence quark masses. Both NLO and complete NNLO fits well represent our data, which has m_pi in the range 220 to 420 MeV. With our data, the NNLO fits have NLO and NNLO contributions of similar size, making the series not convergent and the extrapolation to physical light quark masses imprecise. Thus, we use NLO fit results for our predictions of f_pi, f_K and the light quark masses.

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