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

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

School of Physics and Astronomy

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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 language	English
Article number	306
Journal	Proceedings of Science
Volume	2013
Issue number	LATTICE 2013
Publication status	Published - 2 Nov 2013
Event	31st International Symposium on Lattice Field Theory - LATTICE 2013 - Mainz, Germany Duration: 29 Jul 2013 → 3 Aug 2013

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hep-ph
hep-lat

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Particle Theory at the Tait Institute
Ball, R. (Principal Investigator), Berera, A. (Co-investigator), Boyle, P. (Co-investigator), Del Debbio, L. (Co-investigator), Figueroa-O'Farrill, J. (Co-investigator), Gardi, E. (Co-investigator), Horsley, R. (Co-investigator), Kennedy, A. (Co-investigator), Kenway, R. (Co-investigator), Pendleton, B. (Co-investigator) & Simon Soler, J. (Co-investigator)
STFC
1/10/11 → 30/09/15
Project: Research

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

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.",

keywords = "hep-ph, hep-lat",

author = "{A. Boyle}, P. and {Del Debbio}, L. and N. Garron and {J. Hudspith}, R. and E. Kerrane and K. Maltman and {M. Zanotti}, J.",

note = "7 pages, 2 figures. Prepared for the proceedings of the 31st International Symposium on Lattice Field Theory, July 29-August 3, 2013, Mainz, Germany; 31st International Symposium on Lattice Field Theory - LATTICE 2013 ; Conference date: 29-07-2013 Through 03-08-2013",

year = "2013",

month = nov,

day = "2",

language = "English",

volume = "2013",

journal = "Proceedings of Science",

issn = "1824-8039",

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TY - JOUR

T1 - Combined Lattice and Continuum Analysis of the Light Quark $V-A$ Correlator at NNLO in ChPT

AU - A. Boyle, P.

AU - Del Debbio, L.

AU - Garron, N.

AU - J. Hudspith, R.

AU - Kerrane, E.

AU - Maltman, K.

AU - M. Zanotti, J.

N1 - 7 pages, 2 figures. Prepared for the proceedings of the 31st International Symposium on Lattice Field Theory, July 29-August 3, 2013, Mainz, Germany

PY - 2013/11/2

Y1 - 2013/11/2

N2 - 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.

AB - 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.

KW - hep-ph

KW - hep-lat

M3 - Article

SN - 1824-8039

VL - 2013

JO - Proceedings of Science

JF - Proceedings of Science

IS - LATTICE 2013

M1 - 306

T2 - 31st International Symposium on Lattice Field Theory - LATTICE 2013

Y2 - 29 July 2013 through 3 August 2013

ER -

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

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Particle Theory at the Tait Institute

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