Abstract
The renormalized next-to-leading-order chiral low-energy constant, , is determined in a complete next-to-next-to-leading-order (NNLO) analysis, using a combination of lattice and continuum data for the flavor correlator and results from a recent chiral sum-rule analysis of the flavor-breaking combination of and correlator differences. The analysis also fixes two combinations of NNLO low-energy constants, the determination of which is crucial to the precision achieved for . Using the results of the flavor-breaking chiral sum rule obtained with current versions of the strange hadronic branching fractions as input, we find . This result represents the first NNLO determination of , having all inputs under full theoretical and/or experimental control, and the best current precision for this quantity.
- Received 25 April 2014
DOI:https://doi.org/10.1103/PhysRevD.89.094510
© 2014 American Physical Society