Hadronic vacuum polarization in QCD and its evaluation in Euclidean spacetime

Hadronic vacuum polarization in QCD and its evaluation in Euclidean spacetime We discuss a new technique to evaluate integrals of QCD Green’s functions in the Euclidean based on their Mellin-Barnes representation. We present as a first application the evaluation of the lowest order hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon 12(gμ-2)HVP≡aμHVP. It is shown that with a precise determination of the slope and curvature of the HVP function at the origin from lattice QCD (LQCD), one can already obtain a result for aμHVP which may serve as a test of the determinations based on experimental measurements of the e+e- annihilation cross section into hadrons. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Hadronic vacuum polarization in QCD and its evaluation in Euclidean spacetime

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Hadronic vacuum polarization in QCD and its evaluation in Euclidean spacetime

Abstract

We discuss a new technique to evaluate integrals of QCD Green’s functions in the Euclidean based on their Mellin-Barnes representation. We present as a first application the evaluation of the lowest order hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon 12(gμ-2)HVP≡aμHVP. It is shown that with a precise determination of the slope and curvature of the HVP function at the origin from lattice QCD (LQCD), one can already obtain a result for aμHVP which may serve as a test of the determinations based on experimental measurements of the e+e- annihilation cross section into hadrons.
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.014510
Publisher site
See Article on Publisher Site

Abstract

We discuss a new technique to evaluate integrals of QCD Green’s functions in the Euclidean based on their Mellin-Barnes representation. We present as a first application the evaluation of the lowest order hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon 12(gμ-2)HVP≡aμHVP. It is shown that with a precise determination of the slope and curvature of the HVP function at the origin from lattice QCD (LQCD), one can already obtain a result for aμHVP which may serve as a test of the determinations based on experimental measurements of the e+e- annihilation cross section into hadrons.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 1, 2017

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