Chiral corrections to the SU(2) × SU(2) Gell-Mann-Oakes-Renner relation

@article{Bordes2010ChiralCT,
  title={Chiral corrections to the SU(2) × SU(2) Gell-Mann-Oakes-Renner relation},
  author={Jos{\'e} Bordes and Cesareo A. Dominguez and Preshin Moodley and J. A. Pe{\~n}arrocha and Karl Schilcher},
  journal={Journal of High Energy Physics},
  year={2010},
  volume={2010},
  pages={1-16}
}
The next to leading order chiral corrections to the SU(2) ×SU(2) Gell-Mann-Oakes-Renner (GMOR) relation are obtained using the pseudoscalar correlator to five-loop order in perturbative QCD, together with new finite energy sum rules (FESR) incorporating polynomial, Legendre type, integration kernels. The purpose of these kernels is to suppress hadronic contributions in the region where they are least known. This reduces considerably the systematic uncertainties arising from the lack of direct… 
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