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Abstract
A combination of lattice and continuum data for the light-quark V-A correlator, supplemented by results from a chiral sum-rule analysis of the flavor-breaking flavor $ud$-$us$ V-A correlator difference, is shown to make possible a high-precision NNLO determination of the renormalized NLO chiral low-energy constant $L_{10}^r$. Key to this determination is the ability to simultaneously fix the two combinations of NNLO low-energy constants also entering the analysis. With current versions of the strange hadronic $\tau$ branching fractions required as input to the flavor-breaking V-A sum rule, we find $L_{10}^r(m_\rho ) = -0.00346(29)$. This represents both the best current precision for $L_{10}^r$, and the first NNLO determination having all errors under full control.
Original language | English |
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Article number | 306 |
Journal | Proceedings of Science |
Volume | 2013 |
Issue number | LATTICE 2013 |
Publication status | Published - 2 Nov 2013 |
Event | 31st International Symposium on Lattice Field Theory - LATTICE 2013 - Mainz, Germany Duration: 29 Jul 2013 → 3 Aug 2013 |
Keywords / Materials (for Non-textual outputs)
- hep-ph
- hep-lat
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Dive into the research topics of 'Combined Lattice and Continuum Analysis of the Light Quark $V-A$ Correlator at NNLO in ChPT'. 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