(L_{10}^r\) From a Combined NNLO Lattice, Continuum Analysis of the Light Quark V-A Correlator
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...
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| creator | Boyle, P A L Del Debbio Garron, N Hudspith, R J Kerrane, E Maltman, K Zanotti, J M |
| description | 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. |
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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.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Breaking ; Flavors ; Quarks</subject><ispartof>arXiv.org, 2013-11</ispartof><rights>2013. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). 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| subjects | Breaking Flavors Quarks |
| title | (L_{10}^r\) From a Combined NNLO Lattice, Continuum Analysis of the Light Quark V-A Correlator |
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