The eta mass and NNLO Three-Flavor Partially Quenched Chiral Perturbation Theory

Abstract

We show how to resum neutral propagators to all orders in Partially Quenched Chiral Perturbation Theory. We calculate the relevant quantities to next-to-next-to-leading order (NNLO). Using these results we show how to extend the proposal by Sharpe and Shoresh for determining the parameters relevant for the eta mass from partially quenched lattice QCD calculations to NNLO.

arXiv comment18 pages, misprints corrected, plot with a different subtraction scale added

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Cited by in corpus (6)

• Two Meson Systems with Ginsparg-Wilson Valence Quarks
• Electromagnetic Corrections in Partially Quenched Chiral Perturbation Theory
• Chiral dynamics with strange quarks in the light of recent lattice simulations
• Partial twisting for scalar mesons
• Applications of Chiral Perturbation theory to lattice QCD
• Finite Volume for Three-Flavour Partially Quenched Chiral Perturbation Theory through NNLO in the Meson Sector