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 low-...
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creator | Boyle, P. A Del Debbio, L 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. |
doi_str_mv | 10.48550/arxiv.1311.0397 |
format | Article |
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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.</description><identifier>DOI: 10.48550/arxiv.1311.0397</identifier><language>eng</language><subject>Physics - High Energy Physics - Lattice ; Physics - High Energy Physics - Phenomenology</subject><creationdate>2013-11</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1311.0397$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1311.0397$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Boyle, P. A</creatorcontrib><creatorcontrib>Del Debbio, L</creatorcontrib><creatorcontrib>Garron, N</creatorcontrib><creatorcontrib>Hudspith, R. J</creatorcontrib><creatorcontrib>Kerrane, E</creatorcontrib><creatorcontrib>Maltman, K</creatorcontrib><creatorcontrib>Zanotti, J. M</creatorcontrib><title>L_{10}^r$ From a Combined NNLO Lattice, Continuum Analysis of the Light Quark V-A Correlator</title><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.</description><subject>Physics - High Energy Physics - Lattice</subject><subject>Physics - High Energy Physics - Phenomenology</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz0tLxDAUBeBsXMjo3tVwFy5tTZrePpalOCqEGQbFlVhu09QJ9iFpKg7if3dGXR04HA58jF0IHsYZIr8m92k_QiGFCLnM01P2rKovwb9f3CWs3NgDQTn2tR1MA-u12oAi7602V4d68HaY5x6Kgbr9ZCcYW_A7A8q-7jxsZ3Jv8BQUh6VzpiM_ujN20lI3mfP_XLCH1c1jeReoze19WaiAEkyDTHKSEdckW0Ei1w1GbZxFmKSICcfayCYhLvIoRZ2QruscKdKpzjBHEUu5YMu_119c9e5sT25fHZHVESl_ALUaSkM</recordid><startdate>20131102</startdate><enddate>20131102</enddate><creator>Boyle, P. A</creator><creator>Del Debbio, L</creator><creator>Garron, N</creator><creator>Hudspith, R. J</creator><creator>Kerrane, E</creator><creator>Maltman, K</creator><creator>Zanotti, J. M</creator><scope>GOX</scope></search><sort><creationdate>20131102</creationdate><title>L_{10}^r$ From a Combined NNLO Lattice, Continuum Analysis of the Light Quark V-A Correlator</title><author>Boyle, P. A ; Del Debbio, L ; Garron, N ; Hudspith, R. J ; Kerrane, E ; Maltman, K ; Zanotti, J. M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a657-830a320ca3f1a19cd52f48256755605be3d6a019275c6acbb95a2c7c85951433</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Physics - High Energy Physics - Lattice</topic><topic>Physics - High Energy Physics - Phenomenology</topic><toplevel>online_resources</toplevel><creatorcontrib>Boyle, P. A</creatorcontrib><creatorcontrib>Del Debbio, L</creatorcontrib><creatorcontrib>Garron, N</creatorcontrib><creatorcontrib>Hudspith, R. J</creatorcontrib><creatorcontrib>Kerrane, E</creatorcontrib><creatorcontrib>Maltman, K</creatorcontrib><creatorcontrib>Zanotti, J. M</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Boyle, P. A</au><au>Del Debbio, L</au><au>Garron, N</au><au>Hudspith, R. J</au><au>Kerrane, E</au><au>Maltman, K</au><au>Zanotti, J. M</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>L_{10}^r$ From a Combined NNLO Lattice, Continuum Analysis of the Light Quark V-A Correlator</atitle><date>2013-11-02</date><risdate>2013</risdate><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.</abstract><doi>10.48550/arxiv.1311.0397</doi><oa>free_for_read</oa></addata></record> |
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subjects | Physics - High Energy Physics - Lattice Physics - High Energy Physics - Phenomenology |
title | L_{10}^r$ From a Combined NNLO Lattice, Continuum Analysis of the Light Quark V-A Correlator |
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