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Type: Journal article
Title: Combined NNLO lattice-continuum determination of Lr₁₀
Other Titles: Combined NNLO lattice-continuum determination of Lr(10)
Author: Boyle, P.
Del Debbio, L.
Garron, N.
Hudspith, R.
Kerrane, E.
Maltman, K.
Zanotti, J.
Citation: Physical Review D: Particles, Fields, Gravitation and Cosmology, 2014; 89(9):094510-1-094510-12
Publisher: American Physical Society
Issue Date: 2014
ISSN: 1550-7998
Statement of
P. A. Boyle, L. Del Debbio, N. Garron, R. J. Hudspith, E. Kerrane, K. Maltman, and J. M. Zanotti
Abstract: The renormalized next-to-leading-order chiral low-energy constant, Lr10, is determined in a complete next-to-next-to-leading-order (NNLO) analysis, using a combination of lattice and continuum data for the flavor ud V−A correlator and results from a recent chiral sum-rule analysis of the flavor-breaking combination of ud and us V−A correlator differences. The analysis also fixes two combinations of NNLO low-energy constants, the determination of which is crucial to the precision achieved for Lr10. Using the results of the flavor-breaking chiral V−A sum rule obtained with current versions of the strange hadronic τ branching fractions as input, we find Lr10(mρ)=−0.00346(32). This result represents the first NNLO determination of Lr10, having all inputs under full theoretical and/or experimental control, and the best current precision for this quantity.
Rights: © 2014 American Physical Society
DOI: 10.1103/PhysRevD.89.094510
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