Combined Lattice and Continuum Analysis of the Light Quark $V-A$ Correlator at NNLO in ChPT

P. A. Boyle, L. Del Debbio, N. Garron, R. J. Hudspith, E. Kerrane, K. Maltman, J. M. Zanotti

Research output: Contribution to journalArticle

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 languageEnglish
Article number306
JournalProceedings of Science
Volume2013
Issue numberLATTICE 2013
Publication statusPublished - 2 Nov 2013
Event31st International Symposium on Lattice Field Theory - LATTICE 2013 - Mainz, Germany
Duration: 29 Jul 20133 Aug 2013

Keywords

  • hep-ph
  • hep-lat

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