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

Research output: Contribution to journalArticle

### Documents

Original language English 306 Proceedings of Science 2013 LATTICE 2013 Published - 2 Nov 2013 31st International Symposium on Lattice Field Theory - LATTICE 2013 - Mainz, GermanyDuration: 29 Jul 2013 → 3 Aug 2013

### 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.

### Research areas

• hep-ph, hep-lat

## 31st International Symposium on Lattice Field Theory - LATTICE 2013

29/07/133/08/13

Mainz, Germany

Event: Conference