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Abstract
The renormalized next-to-leading-order (NLO) chiral low-energy constant, $L_{10}^r$, 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 $L_{10}^r$. Using the results of the flavor-breaking chiral $V-A$ sum rule obtained with current versions of the strange hadronic $\tau$ branching fractions as input, we find $L_{10}^r(m_\rho )\, =\, -0.00346(32)$. This result represents the first NNLO determination of $L_{10}^r$ having all inputs under full theoretical and/or experimental control, and the best current precision for this quantity.
Original language | English |
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Journal | Physical Review D |
Volume | 89 |
Issue number | 094510 |
DOIs | |
Publication status | Published - 29 May 2014 |
Keywords / Materials (for Non-textual outputs)
- hep-ph
- hep-ex
- hep-lat
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Dive into the research topics of 'A Combined NNLO Lattice-Continuum Determination of $L_{10}^r$'. Together they form a unique fingerprint.Projects
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Particle Theory at the Tait Institute
Ball, R. (Principal Investigator), Berera, A. (Co-investigator), Boyle, P. (Co-investigator), Del Debbio, L. (Co-investigator), Figueroa-O'Farrill, J. (Co-investigator), Gardi, E. (Co-investigator), Horsley, R. (Co-investigator), Kennedy, A. (Co-investigator), Kenway, R. (Co-investigator), Pendleton, B. (Co-investigator) & Simon Soler, J. (Co-investigator)
1/10/11 → 30/09/15
Project: Research