L₁₀^r From a Combined NNLO Lattice, Continuum Analysis of the Light Quark V-A Correlator

2013/11/02 by P. A. Boyle, P.A. Boyle, L. Del Debbio +17
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph

paper · pdf · doi:10.48550/arxiv.1311.0397

7 pages, 2 figures. Prepared for the proceedings of the 31st International Symposium on Lattice Field Theory, July 29-August 3, 2013, Mainz, Germany

arxiv created 2013/11/02 · openalex publication_date 2013/11/02 · arxiv updated 2013/11/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 L₁₀^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 τ branching fractions required as input to the flavor-breaking V-A sum rule, we find L₁₀^r(m_ρ) = -0.00346(29). This represents both the best current precision for L₁₀^r, and the first NNLO determination having all errors under full control.

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