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

TL;DR

This paper develops a method to resum neutral propagators in Partially Quenched Chiral Perturbation Theory and extends NNLO calculations to improve eta mass determination from lattice QCD.

Contribution

It introduces a resummation technique for neutral propagators and extends NNLO calculations, enhancing eta mass extraction from lattice QCD data.

Findings

Resummed neutral propagators to all orders in PQChPT.

Extended NNLO calculations for eta mass determination.

Provided a framework for more accurate lattice QCD analysis.

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.